diff --git a/previews/PR170/404.html b/previews/PR170/404.html index 5101eb064..d9679ccb5 100644 --- a/previews/PR170/404.html +++ b/previews/PR170/404.html @@ -8,7 +8,7 @@ - + @@ -16,7 +16,7 @@
- + \ No newline at end of file diff --git a/previews/PR170/api.html b/previews/PR170/api.html index 3b4466540..67edc3652 100644 --- a/previews/PR170/api.html +++ b/previews/PR170/api.html @@ -8,17 +8,17 @@ - + - - + + -
GeometryOps.jl

Appearance

Full GeometryOps API documentation ​

Warning

This page is still very much WIP!

Documentation for GeometryOps's full API (only for reference!).

apply and associated functions ​

# GeometryOps.apply — Function.
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)

Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.

f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.

Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.

The result is a functionally similar geometry with values depending on f.

  • threaded: true or false. Whether to use multithreading. Defaults to false.

  • crs: The CRS to attach to geometries. Defaults to nothing.

  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.

Example

Flipped point the order in any feature or geometry, or iterables of either:

julia
import GeoInterface as GI
+    
GeometryOps.jl
Appearance
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
@@ -416,7 +416,7 @@
 
 # output
 true
source

  1. K. Hormann and N. Sukumar. Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor & Fancis, CRC Press, 2017. ↩︎

-    
+    
     
   
 
\ No newline at end of file
diff --git a/previews/PR170/assets/khoevfd.C3SxJ3x-.png b/previews/PR170/assets/adjnqig.C3SxJ3x-.png
similarity index 100%
rename from previews/PR170/assets/khoevfd.C3SxJ3x-.png
rename to previews/PR170/assets/adjnqig.C3SxJ3x-.png
diff --git a/previews/PR170/assets/api.md.szlKOsdg.js b/previews/PR170/assets/api.md.Ce4ecVT9.js
similarity index 99%
rename from previews/PR170/assets/api.md.szlKOsdg.js
rename to previews/PR170/assets/api.md.Ce4ecVT9.js
index e083a172c..3bf9ff021 100644
--- a/previews/PR170/assets/api.md.szlKOsdg.js
+++ b/previews/PR170/assets/api.md.Ce4ecVT9.js
@@ -1,4 +1,4 @@
-import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.tAJTkgFA.js";const q=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
+import{_ as n,c as e,j as s,a,a6 as i,o as t}from"./chunks/framework.tAJTkgFA.js";const q=JSON.parse('{"title":"Full GeometryOps API documentation","description":"","frontmatter":{},"headers":[],"relativePath":"api.md","filePath":"api.md","lastUpdated":null}'),l={name:"api.md"},h=i(`
Full GeometryOps API documentation ​
Warning
This page is still very much WIP!
Documentation for GeometryOps's full API (only for reference!).
apply and associated functions ​
# GeometryOps.apply — Function. 
julia
apply(f, target::Union{TraitTarget, GI.AbstractTrait}, obj; kw...)
Reconstruct a geometry, feature, feature collection, or nested vectors of either using the function f on the target trait.
f(target_geom) => x where x also has the target trait, or a trait that can be substituted. For example, swapping PolgonTrait to MultiPointTrait will fail if the outer object has MultiPolygonTrait, but should work if it has FeatureTrait.
Objects "shallower" than the target trait are always completely rebuilt, like a Vector of FeatureCollectionTrait of FeatureTrait when the target has PolygonTrait and is held in the features. These will always be GeoInterface geometries/feature/feature collections. But "deeper" objects may remain unchanged or be whatever GeoInterface compatible objects f returns.
The result is a functionally similar geometry with values depending on f.
  • threaded: true or false. Whether to use multithreading. Defaults to false.
  • crs: The CRS to attach to geometries. Defaults to nothing.
  • calc_extent: true or false. Whether to calculate the extent. Defaults to false.
Example
Flipped point the order in any feature or geometry, or iterables of either:
julia
import GeoInterface as GI
 import GeometryOps as GO
 geom = GI.Polygon([GI.LinearRing([(1, 2), (3, 4), (5, 6), (1, 2)]),
                    GI.LinearRing([(3, 4), (5, 6), (6, 7), (3, 4)])])
diff --git a/previews/PR170/assets/api.md.szlKOsdg.lean.js b/previews/PR170/assets/api.md.Ce4ecVT9.lean.js
similarity index 100%
rename from previews/PR170/assets/api.md.szlKOsdg.lean.js
rename to previews/PR170/assets/api.md.Ce4ecVT9.lean.js
diff --git a/previews/PR170/assets/app.B_E8E5zm.js b/previews/PR170/assets/app.BdUFIZJc.js
similarity index 95%
rename from previews/PR170/assets/app.B_E8E5zm.js
rename to previews/PR170/assets/app.BdUFIZJc.js
index 01e486b20..1394ae4f4 100644
--- a/previews/PR170/assets/app.B_E8E5zm.js
+++ b/previews/PR170/assets/app.BdUFIZJc.js
@@ -1 +1 @@
-import{U as o,a7 as p,a8 as u,a9 as l,aa as c,ab as f,ac as d,ad as m,ae as h,af as g,ag as A,d as P,u as v,y,x as w,ah as C,ai as R,aj as b,a5 as E}from"./chunks/framework.tAJTkgFA.js";import{R as S}from"./chunks/theme.CNzey4Fh.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:m}),{app:a,router:e,data:t}}function j(){return h(T)}function x(){let e=o,a;return g(t=>{let n=A(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
+import{U as o,a7 as p,a8 as u,a9 as l,aa as c,ab as f,ac as d,ad as m,ae as h,af as g,ag as A,d as P,u as v,y,x as w,ah as C,ai as R,aj as b,a5 as E}from"./chunks/framework.tAJTkgFA.js";import{R as S}from"./chunks/theme.ehLKxvXo.js";function i(e){if(e.extends){const a=i(e.extends);return{...a,...e,async enhanceApp(t){a.enhanceApp&&await a.enhanceApp(t),e.enhanceApp&&await e.enhanceApp(t)}}}return e}const s=i(S),T=P({name:"VitePressApp",setup(){const{site:e,lang:a,dir:t}=v();return y(()=>{w(()=>{document.documentElement.lang=a.value,document.documentElement.dir=t.value})}),e.value.router.prefetchLinks&&C(),R(),b(),s.setup&&s.setup(),()=>E(s.Layout)}});async function _(){globalThis.__VITEPRESS__=!0;const e=x(),a=j();a.provide(u,e);const t=l(e.route);return a.provide(c,t),a.component("Content",f),a.component("ClientOnly",d),Object.defineProperties(a.config.globalProperties,{$frontmatter:{get(){return t.frontmatter.value}},$params:{get(){return t.page.value.params}}}),s.enhanceApp&&await s.enhanceApp({app:a,router:e,siteData:m}),{app:a,router:e,data:t}}function j(){return h(T)}function x(){let e=o,a;return g(t=>{let n=A(t),r=null;return n&&(e&&(a=n),(e||a===n)&&(n=n.replace(/\.js$/,".lean.js")),r=import(n)),o&&(e=!1),r},s.NotFound)}o&&_().then(({app:e,router:a,data:t})=>{a.go().then(()=>{p(a.route,t.site),e.mount("#app")})});export{_ as createApp};
diff --git a/previews/PR170/assets/chunks/@localSearchIndexroot.BGE7MfCv.js b/previews/PR170/assets/chunks/@localSearchIndexroot.BGE7MfCv.js
new file mode 100644
index 000000000..d0cc85ec8
--- /dev/null
+++ b/previews/PR170/assets/chunks/@localSearchIndexroot.BGE7MfCv.js
@@ -0,0 +1 @@
+const 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similarity index 99%
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diff --git a/previews/PR170/assets/vmhwytx.3UVIT8DR.png b/previews/PR170/assets/ctcmkrr.3UVIT8DR.png
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diff --git a/previews/PR170/assets/experiments_predicates.md.Co6WoU8g.js b/previews/PR170/assets/experiments_predicates.md.BlEjNH3_.js
similarity index 99%
rename from previews/PR170/assets/experiments_predicates.md.Co6WoU8g.js
rename to previews/PR170/assets/experiments_predicates.md.BlEjNH3_.js
index 2253a44cf..d1c5cebb9 100644
--- a/previews/PR170/assets/experiments_predicates.md.Co6WoU8g.js
+++ b/previews/PR170/assets/experiments_predicates.md.BlEjNH3_.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.tAJTkgFA.js";const k="/GeometryOps.jl/previews/PR170/assets/hifjvje.DLUPL5Qf.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
+import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.tAJTkgFA.js";const k="/GeometryOps.jl/previews/PR170/assets/rxhzptx.CNzixeVT.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h(`
Predicates ​
Exact vs fast predicates
Orient ​
julia
using CairoMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
diff --git a/previews/PR170/assets/experiments_predicates.md.Co6WoU8g.lean.js b/previews/PR170/assets/experiments_predicates.md.BlEjNH3_.lean.js
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rename from previews/PR170/assets/experiments_predicates.md.Co6WoU8g.lean.js
rename to previews/PR170/assets/experiments_predicates.md.BlEjNH3_.lean.js
index 63b07a01a..42bb56a09 100644
--- a/previews/PR170/assets/experiments_predicates.md.Co6WoU8g.lean.js
+++ b/previews/PR170/assets/experiments_predicates.md.BlEjNH3_.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.tAJTkgFA.js";const k="/GeometryOps.jl/previews/PR170/assets/hifjvje.DLUPL5Qf.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
+import{_ as s,c as i,o as a,a6 as h}from"./chunks/framework.tAJTkgFA.js";const k="/GeometryOps.jl/previews/PR170/assets/rxhzptx.CNzixeVT.png",C=JSON.parse('{"title":"Predicates","description":"","frontmatter":{},"headers":[],"relativePath":"experiments/predicates.md","filePath":"experiments/predicates.md","lastUpdated":null}'),n={name:"experiments/predicates.md"},p=h("",10),l=[p];function t(E,e,r,d,g,y){return a(),i("div",null,l)}const A=s(n,[["render",t]]);export{C as __pageData,A as default};
diff --git a/previews/PR170/assets/explanations_crs.md.BbgG8R5r.js b/previews/PR170/assets/explanations_crs.md.BbgG8R5r.js
deleted file mode 100644
index 7c0854ab1..000000000
--- a/previews/PR170/assets/explanations_crs.md.BbgG8R5r.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.tAJTkgFA.js";const u=JSON.parse('{"title":"Coordinate Reference Systems","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),r={name:"explanations/crs.md"},s=o('
Coordinate Reference Systems ​
Coordinate Reference Systems are simply descriptions of what some set of coordinates really mean in reference to some standard.
In a mathematical sense, coordinate reference systems can be thought of defining a space, with associated transformations from and to latitude-longitude space (plate-carree, long-lat, WGS84) which is the default CRS we assume.
Geographic CRS ​
If a CRS is geographic, that means that it refers to coordinates on a sphere. Such coordinates should ideally be handled using a spherical geometry library like Google's s2. GeometryOps does not currently handle spherical geometry computations except in special cases (perimeter, GeodesicSegments in segmentize, GeodesicDistance).
A non-geographic CRS is assumed to be in Cartesian space.
Projected CRS ​
Projected CRS are generally treated as Cartesian.
Ways to describe CRS ​
Completely separate from the meaning of the CRS is the way you describe or define it. There are a dizzying array of ways to do this, but two easy ones are Proj strings and Well Known Text.
The geographic community seems to be standardizing on Well Known Text as the "best" CRS identifier. This is quite verbose, but is unambiguous and easy enough to read once you get the hang of it.
To indicate the type of CRS definition you're using, you can wrap a string in its corresponding GeoFormatTypes type.
CRS format table ​
<!– TODO: convert this to a Markdown table–>
  • Proj-strings: a brief but powerful way to describe a set of known CRS + some transformations to them. Really useful when plotting and interactively adjusting CRS. See the Proj docs.
  • EPSG codes: a short way to refer to a known coordinate system in the database of the European Petroleum Survey Group. Example: EPSG:4236.
  • ESRI codes: similar to EPSG codes, but referring to CRS known to ESRI instead. Example: ESRI:12345
  • ProjJSON: a more structured way to express Proj-strings using JSON.
  • KML: key-markup language, an XML extension, used in web feature services
  • Mapinfo CoordSys:
',15),i=[s];function n(c,d,l,p,h,m){return t(),a("div",null,i)}const S=e(r,[["render",n]]);export{u as __pageData,S as default};
diff --git a/previews/PR170/assets/explanations_crs.md.Bg3je49G.js b/previews/PR170/assets/explanations_crs.md.Bg3je49G.js
new file mode 100644
index 000000000..d78198cbb
--- /dev/null
+++ b/previews/PR170/assets/explanations_crs.md.Bg3je49G.js
@@ -0,0 +1 @@
+import{_ as e,c as a,o as t,a6 as o}from"./chunks/framework.tAJTkgFA.js";const u=JSON.parse('{"title":"Coordinate Reference Systems","description":"","frontmatter":{},"headers":[],"relativePath":"explanations/crs.md","filePath":"explanations/crs.md","lastUpdated":null}'),r={name:"explanations/crs.md"},s=o('
Coordinate Reference Systems ​
Coordinate Reference Systems are simply descriptions of what some set of coordinates really mean in reference to some standard.
In a mathematical sense, coordinate reference systems can be thought of defining a space, with associated transformations from and to latitude-longitude space (plate-carree, long-lat, WGS84) which is the default CRS we assume.
Geographic CRS ​
If a CRS is geographic, that means that it refers to coordinates on a sphere. Such coordinates should ideally be handled using a spherical geometry library like Google's s2. GeometryOps does not currently handle spherical geometry computations except in special cases (perimeter, GeodesicSegments in segmentize, GeodesicDistance).
A non-geographic CRS is assumed to be in Cartesian space.
Projected CRS ​
Projected CRS are generally treated as Cartesian.
Ways to describe CRS ​
Completely separate from the meaning of the CRS is the way you describe or define it. There are a dizzying array of ways to do this, but two easy ones are Proj strings and Well Known Text.
The geographic community seems to be standardizing on Well Known Text as the "best" CRS identifier. This is quite verbose, but is unambiguous and easy enough to read once you get the hang of it.
To indicate the type of CRS definition you're using, you can wrap a string in its corresponding GeoFormatTypes type.
CRS format table ​
<!– TODO: convert this to a Markdown table–>
  • Proj-strings: a brief but powerful way to describe a set of known CRS + some transformations to them. Really useful when plotting and interactively adjusting CRS. See the Proj docs.
  • EPSG codes: a short way to refer to a known coordinate system in the database of the European Petroleum Survey Group. Example: EPSG:4236.
  • ESRI codes: similar to EPSG codes, but referring to CRS known to ESRI instead. Example: ESRI:12345
  • ProjJSON: a more structured way to express Proj-strings using JSON.
  • KML: key-markup language, an XML extension, used in web feature services
  • Mapinfo CoordSys:
',15),i=[s];function n(c,d,l,p,h,m){return t(),a("div",null,i)}const S=e(r,[["render",n]]);export{u as __pageData,S as default};
diff --git a/previews/PR170/assets/explanations_crs.md.BbgG8R5r.lean.js b/previews/PR170/assets/explanations_crs.md.Bg3je49G.lean.js
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diff --git a/previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.js b/previews/PR170/assets/source_methods_angles.md.C-ukMcyb.js
similarity index 99%
rename from previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.js
rename to previews/PR170/assets/source_methods_angles.md.C-ukMcyb.js
index 3276c13fe..28c10539c 100644
--- a/previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.js
+++ b/previews/PR170/assets/source_methods_angles.md.C-ukMcyb.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bvnppow.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ivyiabr.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n(`
Angles ​
julia
export angles
What is angles? ​
Angles are the angles formed by a given geometries line segments, if it has line segments.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie, CairoMakie
 
diff --git a/previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.lean.js b/previews/PR170/assets/source_methods_angles.md.C-ukMcyb.lean.js
similarity index 87%
rename from previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.lean.js
rename to previews/PR170/assets/source_methods_angles.md.C-ukMcyb.lean.js
index 437d05125..88c580990 100644
--- a/previews/PR170/assets/source_methods_angles.md.Ds3BBjsd.lean.js
+++ b/previews/PR170/assets/source_methods_angles.md.C-ukMcyb.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bvnppow.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ivyiabr.Dig-DWOQ.png",o=JSON.parse('{"title":"Angles","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/angles.md","filePath":"source/methods/angles.md","lastUpdated":null}'),l={name:"source/methods/angles.md"},k=n("",27),t=[k];function p(e,r,E,g,d,y){return a(),i("div",null,t)}const c=s(l,[["render",p]]);export{o as __pageData,c as default};
diff --git a/previews/PR170/assets/source_methods_area.md.BdicAGZg.js b/previews/PR170/assets/source_methods_area.md.BajsIGNf.js
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rename from previews/PR170/assets/source_methods_area.md.BdicAGZg.js
rename to previews/PR170/assets/source_methods_area.md.BajsIGNf.js
index 7ca79e132..53d3383ea 100644
--- a/previews/PR170/assets/source_methods_area.md.BdicAGZg.js
+++ b/previews/PR170/assets/source_methods_area.md.BajsIGNf.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bvnppow.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR170/assets/mimdahq.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ivyiabr.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR170/assets/gpehorr.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n(`
Area and signed area ​
julia
export area, signed_area
What is area? What is signed area? ​
Area is the amount of space occupied by a two-dimensional figure. It is always a positive value. Signed area is simply the integral over the exterior path of a polygon, minus the sum of integrals over its interior holes. It is signed such that a clockwise path has a positive area, and a counterclockwise path has a negative area. The area is the absolute value of the signed area.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_area.md.BdicAGZg.lean.js b/previews/PR170/assets/source_methods_area.md.BajsIGNf.lean.js
similarity index 77%
rename from previews/PR170/assets/source_methods_area.md.BdicAGZg.lean.js
rename to previews/PR170/assets/source_methods_area.md.BajsIGNf.lean.js
index 008ecfbf7..21a614c1f 100644
--- a/previews/PR170/assets/source_methods_area.md.BdicAGZg.lean.js
+++ b/previews/PR170/assets/source_methods_area.md.BajsIGNf.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bvnppow.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR170/assets/mimdahq.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ivyiabr.Dig-DWOQ.png",t="/GeometryOps.jl/previews/PR170/assets/gpehorr.CULn5saZ.png",c=JSON.parse('{"title":"Area and signed area","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/area.md","filePath":"source/methods/area.md","lastUpdated":null}'),e={name:"source/methods/area.md"},l=n("",40),p=[l];function k(r,d,g,E,o,y){return a(),i("div",null,p)}const C=s(e,[["render",k]]);export{c as __pageData,C as default};
diff --git a/previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.js b/previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.js
similarity index 99%
rename from previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.js
rename to previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.js
index 7be618293..e22e7d218 100644
--- a/previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.js
+++ b/previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/xvjthsh.BD0hVfse.png",t="/GeometryOps.jl/previews/PR170/assets/rrmgrov.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ouinuvx.BD0hVfse.png",t="/GeometryOps.jl/previews/PR170/assets/yxswimy.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n(`
Centroid ​
julia
export centroid, centroid_and_length, centroid_and_area
What is the centroid? ​
The centroid is the geometric center of a line string or area(s). Note that the centroid does not need to be inside of a concave area.
Further note that by convention a line, or linear ring, is calculated by weighting the line segments by their length, while polygons and multipolygon centroids are calculated by weighting edge's by their 'area components'.
To provide an example, consider this concave polygon in the shape of a 'C':
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.lean.js b/previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.lean.js
similarity index 77%
rename from previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.lean.js
rename to previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.lean.js
index d800e5ce6..ff5a80f53 100644
--- a/previews/PR170/assets/source_methods_centroid.md.BkQoTxy7.lean.js
+++ b/previews/PR170/assets/source_methods_centroid.md.DD1BtxGS.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/xvjthsh.BD0hVfse.png",t="/GeometryOps.jl/previews/PR170/assets/rrmgrov.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n("",57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ouinuvx.BD0hVfse.png",t="/GeometryOps.jl/previews/PR170/assets/yxswimy.DHcwB147.png",F=JSON.parse('{"title":"Centroid","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/centroid.md","filePath":"source/methods/centroid.md","lastUpdated":null}'),k={name:"source/methods/centroid.md"},p=n("",57),l=[p];function e(r,E,d,g,y,o){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{F as __pageData,C as default};
diff --git a/previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.js b/previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.js
similarity index 99%
rename from previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.js
rename to previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.js
index 19c74790e..497b8501f 100644
--- a/previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.js
+++ b/previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/frnkzmf.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/lvdwjxf.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n(`
julia
export coverage
What is coverage? ​
Coverage is the amount of geometry area within a bounding box defined by the minimum and maximum x and y-coordiantes of that bounding box, or an Extent containing that information.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.lean.js b/previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.lean.js
similarity index 87%
rename from previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.lean.js
rename to previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.lean.js
index d117ef812..5ea8db2e2 100644
--- a/previews/PR170/assets/source_methods_clipping_coverage.md.GMOVGFzn.lean.js
+++ b/previews/PR170/assets/source_methods_clipping_coverage.md.bxbFWiet.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/frnkzmf.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/lvdwjxf.Cb0_DiYE.png",c=JSON.parse('{"title":"","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/coverage.md","filePath":"source/methods/clipping/coverage.md","lastUpdated":null}'),l={name:"source/methods/clipping/coverage.md"},k=n("",58),p=[k];function t(e,E,r,d,g,y){return a(),i("div",null,p)}const o=s(l,[["render",t]]);export{c as __pageData,o as default};
diff --git a/previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.js b/previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.js
similarity index 99%
rename from previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.js
rename to previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.js
index ba9ea8a44..db27dd3a9 100644
--- a/previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.js
+++ b/previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/udkorgu.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/iepotga.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n(`
Polygon cutting ​
julia
export cut
What is cut? ​
The cut function cuts a polygon through a line segment. This is inspired by functions such as Matlab's cutpolygon function.
To provide an example, consider the following polygon and line:
julia
import GeoInterface as GI, GeometryOps as GO
 using CairoMakie
 using Makie
 
diff --git a/previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.lean.js b/previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.lean.js
similarity index 87%
rename from previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.lean.js
rename to previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.lean.js
index 7a85be0b8..8a6422718 100644
--- a/previews/PR170/assets/source_methods_clipping_cut.md.5Kcu8m7g.lean.js
+++ b/previews/PR170/assets/source_methods_clipping_cut.md.BW7QMBqL.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/udkorgu.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/iepotga.-VpeHhXX.png",c=JSON.parse('{"title":"Polygon cutting","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/clipping/cut.md","filePath":"source/methods/clipping/cut.md","lastUpdated":null}'),t={name:"source/methods/clipping/cut.md"},l=n("",34),p=[l];function k(e,r,E,d,g,y){return a(),i("div",null,p)}const F=s(t,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_distance.md.CJLhZxjV.js b/previews/PR170/assets/source_methods_distance.md.DbeUXjZG.js
similarity index 99%
rename from previews/PR170/assets/source_methods_distance.md.CJLhZxjV.js
rename to previews/PR170/assets/source_methods_distance.md.DbeUXjZG.js
index 04d42a6cc..e0a0d482c 100644
--- a/previews/PR170/assets/source_methods_distance.md.CJLhZxjV.js
+++ b/previews/PR170/assets/source_methods_distance.md.DbeUXjZG.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ttfesim.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR170/assets/vwdkqpn.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/oqhjlbm.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR170/assets/wfnrews.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n(`
Distance and signed distance ​
julia
export distance, signed_distance
What is distance? What is signed distance? ​
Distance is the distance of a point to another geometry. This is always a positive number. If a point is inside of geometry, so on a curve or inside of a polygon, the distance will be zero. Signed distance is mainly used for polygons and multipolygons. If a point is outside of a geometry, signed distance has the same value as distance. However, points within the geometry have a negative distance representing the distance of a point to the closest boundary. Therefore, for all "non-filled" geometries, like curves, the distance will either be postitive or 0.
To provide an example, consider this rectangle:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_distance.md.CJLhZxjV.lean.js b/previews/PR170/assets/source_methods_distance.md.DbeUXjZG.lean.js
similarity index 78%
rename from previews/PR170/assets/source_methods_distance.md.CJLhZxjV.lean.js
rename to previews/PR170/assets/source_methods_distance.md.DbeUXjZG.lean.js
index e803cbfed..688d61cd2 100644
--- a/previews/PR170/assets/source_methods_distance.md.CJLhZxjV.lean.js
+++ b/previews/PR170/assets/source_methods_distance.md.DbeUXjZG.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/ttfesim.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR170/assets/vwdkqpn.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/oqhjlbm.DiwGEg2f.png",t="/GeometryOps.jl/previews/PR170/assets/wfnrews.BwdbZIFa.png",c=JSON.parse('{"title":"Distance and signed distance","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/distance.md","filePath":"source/methods/distance.md","lastUpdated":null}'),k={name:"source/methods/distance.md"},p=n("",54),l=[p];function e(d,E,r,g,y,F){return a(),i("div",null,l)}const C=s(k,[["render",e]]);export{c as __pageData,C as default};
diff --git a/previews/PR170/assets/source_methods_equals.md.CSXw6sgX.js b/previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.js
similarity index 99%
rename from previews/PR170/assets/source_methods_equals.md.CSXw6sgX.js
rename to previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.js
index af304f473..30adfe1e0 100644
--- a/previews/PR170/assets/source_methods_equals.md.CSXw6sgX.js
+++ b/previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/nxwtzqa.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/szwqgdi.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n(`
Equals ​
julia
export equals
What is equals? ​
The equals function checks if two geometries are equal. They are equal if they share the same set of points and edges to define the same shape.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_equals.md.CSXw6sgX.lean.js b/previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.lean.js
similarity index 87%
rename from previews/PR170/assets/source_methods_equals.md.CSXw6sgX.lean.js
rename to previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.lean.js
index a2857c085..f07309570 100644
--- a/previews/PR170/assets/source_methods_equals.md.CSXw6sgX.lean.js
+++ b/previews/PR170/assets/source_methods_equals.md.Y-sRzdcs.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/nxwtzqa.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/szwqgdi.CgiryX2p.png",y=JSON.parse('{"title":"Equals","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/equals.md","filePath":"source/methods/equals.md","lastUpdated":null}'),t={name:"source/methods/equals.md"},h=n("",47),p=[h];function e(k,r,d,g,E,F){return a(),i("div",null,p)}const c=s(t,[["render",e]]);export{y as __pageData,c as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.js b/previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.js
rename to previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.js
index e0cde5ab6..c1965ea85 100644
--- a/previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.js
+++ b/previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/bkgoccg._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/dyiknxw._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n(`
Contains ​
julia
export contains
What is contains? ​
The contains function checks if a given geometry completly contains another geometry, or in other words, that the second geometry is completly within the first. This requires that the two interiors intersect and that the interior and boundary of the second geometry is not in the exterior of the first geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.lean.js b/previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.lean.js
index 210946c12..fd296bd9d 100644
--- a/previews/PR170/assets/source_methods_geom_relations_contains.md.fptFvP4o.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_contains.md.CSrxM-fC.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/bkgoccg._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/dyiknxw._0R9BbFk.png",y=JSON.parse('{"title":"Contains","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/contains.md","filePath":"source/methods/geom_relations/contains.md","lastUpdated":null}'),e={name:"source/methods/geom_relations/contains.md"},h=n("",18),l=[h];function p(k,r,o,d,g,E){return a(),i("div",null,l)}const F=s(e,[["render",p]]);export{y as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.js b/previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.js
rename to previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.js
index 1d6f644a3..1922cdcfa 100644
--- a/previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.js
+++ b/previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/pmwftng.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/ijvudpu.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n(`
CoveredBy ​
julia
export coveredby
What is coveredby? ​
The coveredby function checks if one geometry is covered by another geometry. This is an extension of within that does not require the interiors of the two geometries to intersect, but still does require that the interior and boundary of the first geometry isn't outside of the second geometry.
To provide an example, consider this point and line:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.lean.js b/previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.lean.js
index c7dd78bc5..4a754f182 100644
--- a/previews/PR170/assets/source_methods_geom_relations_coveredby.md.BwfN4xiW.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_coveredby.md.DQGH4Z_V.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/pmwftng.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/ijvudpu.DC3TvBOO.png",c=JSON.parse('{"title":"CoveredBy","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/coveredby.md","filePath":"source/methods/geom_relations/coveredby.md","lastUpdated":null}'),l={name:"source/methods/geom_relations/coveredby.md"},h=n("",45),t=[h];function p(k,r,E,d,g,o){return a(),i("div",null,t)}const F=s(l,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.js b/previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.js
rename to previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.js
index 6703d35d4..df14fd8a6 100644
--- a/previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.js
+++ b/previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/pmwftng.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/ijvudpu.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e(`
Covers ​
julia
export covers
What is covers? ​
The covers function checks if a given geometry completly covers another geometry. For this to be true, the "contained" geometry's interior and boundaries must be covered by the "covering" geometry's interior and boundaries. The interiors do not need to overlap.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.lean.js b/previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.lean.js
index 491ea0fc2..b2225d5db 100644
--- a/previews/PR170/assets/source_methods_geom_relations_covers.md.3RFX6-6E.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_covers.md.B4glNt7k.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/pmwftng.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/ijvudpu.DC3TvBOO.png",y=JSON.parse('{"title":"Covers","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/covers.md","filePath":"source/methods/geom_relations/covers.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/covers.md"},p=e("",17),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const u=s(t,[["render",h]]);export{y as __pageData,u as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.js b/previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.js
rename to previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.js
index c1c260f1f..ace0e79ca 100644
--- a/previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.js
+++ b/previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/khoevfd.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/adjnqig.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n(`
Disjoint ​
julia
export disjoint
What is disjoint? ​
The disjoint function checks if one geometry is outside of another geometry, without sharing any boundaries or interiors.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.lean.js b/previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.lean.js
index c553d14e8..6eb766830 100644
--- a/previews/PR170/assets/source_methods_geom_relations_disjoint.md.E3EsB2_f.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_disjoint.md.B042KWTl.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/khoevfd.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/adjnqig.C3SxJ3x-.png",c=JSON.parse('{"title":"Disjoint","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/disjoint.md","filePath":"source/methods/geom_relations/disjoint.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/disjoint.md"},l=n("",39),p=[l];function k(e,r,E,g,d,o){return a(),i("div",null,p)}const F=s(h,[["render",k]]);export{c as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.js b/previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.js
rename to previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.js
index 1c86b0aed..b83e7a852 100644
--- a/previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.js
+++ b/previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/vckrand.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/kwuqsph.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e(`
Intersection checks ​
julia
export intersects
What is intersects? ​
The intersects function checks if a given geometry intersects with another geometry, or in other words, the either the interiors or boundaries of the two geometries intersect.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.lean.js b/previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.lean.js
index f0ac95b4a..9f0cb8da2 100644
--- a/previews/PR170/assets/source_methods_geom_relations_intersects.md.EYKaOfjo.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_intersects.md.BU3YHiVc.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/vckrand.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const n="/GeometryOps.jl/previews/PR170/assets/kwuqsph.DeeQUply.png",y=JSON.parse('{"title":"Intersection checks","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/intersects.md","filePath":"source/methods/geom_relations/intersects.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/intersects.md"},p=e("",18),l=[p];function h(k,r,o,d,c,g){return a(),i("div",null,l)}const F=s(t,[["render",h]]);export{y as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.js b/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.js
rename to previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.js
index fa8f9ae3e..8b5700281 100644
--- a/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.js
+++ b/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/nxwtzqa.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/szwqgdi.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n(`
Overlaps ​
julia
export overlaps
What is overlaps? ​
The overlaps function checks if two geometries overlap. Two geometries can only overlap if they have the same dimension, and if they overlap, but one is not contained, within, or equal to the other.
Note that this means it is impossible for a single point to overlap with a single point and a line only overlaps with another line if only a section of each line is colinear.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.lean.js b/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.lean.js
index 781b3e23b..6669ea85f 100644
--- a/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BCMGMNEL.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_overlaps.md.BbKWOCbq.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/nxwtzqa.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const l="/GeometryOps.jl/previews/PR170/assets/szwqgdi.CgiryX2p.png",y=JSON.parse('{"title":"Overlaps","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/overlaps.md","filePath":"source/methods/geom_relations/overlaps.md","lastUpdated":null}'),p={name:"source/methods/geom_relations/overlaps.md"},t=n("",37),e=[t];function h(k,r,d,g,o,F){return a(),i("div",null,e)}const c=s(p,[["render",h]]);export{y as __pageData,c as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.js b/previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.js
rename to previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.js
index 6396b7e31..5fe25b98d 100644
--- a/previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.js
+++ b/previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/ggxdkro.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/heuwczr.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n(`
Touches ​
julia
export touches
What is touches? ​
The touches function checks if one geometry touches another geometry. In other words, the interiors of the two geometries don't interact, but one of the geometries must have a boundary point that interacts with either the other geometies interior or boundary.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.lean.js b/previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.lean.js
index 4c7eee495..dd18e5098 100644
--- a/previews/PR170/assets/source_methods_geom_relations_touches.md.BTOUp7xR.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_touches.md.4kfqtXDF.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/ggxdkro.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/heuwczr.BEFUMtlf.png",c=JSON.parse('{"title":"Touches","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/touches.md","filePath":"source/methods/geom_relations/touches.md","lastUpdated":null}'),h={name:"source/methods/geom_relations/touches.md"},l=n("",41),e=[l];function p(k,r,E,g,d,o){return a(),i("div",null,e)}const F=s(h,[["render",p]]);export{c as __pageData,F as default};
diff --git a/previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.js b/previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.js
similarity index 99%
rename from previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.js
rename to previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.js
index df2dabe63..c612d5e9e 100644
--- a/previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.js
+++ b/previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bkgoccg._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/dyiknxw._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n(`
Within ​
julia
export within
What is within? ​
The within function checks if one geometry is inside another geometry. This requires that the two interiors intersect and that the interior and boundary of the first geometry is not in the exterior of the second geometry.
To provide an example, consider these two lines:
julia
import GeometryOps as GO
 import GeoInterface as GI
 using Makie
 using CairoMakie
diff --git a/previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.lean.js b/previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.lean.js
similarity index 88%
rename from previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.lean.js
rename to previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.lean.js
index c3e41e824..6be6fb2fc 100644
--- a/previews/PR170/assets/source_methods_geom_relations_within.md.DHBx4VCa.lean.js
+++ b/previews/PR170/assets/source_methods_geom_relations_within.md.SQGMvbny.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/bkgoccg._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/dyiknxw._0R9BbFk.png",c=JSON.parse('{"title":"Within","description":"","frontmatter":{},"headers":[],"relativePath":"source/methods/geom_relations/within.md","filePath":"source/methods/geom_relations/within.md","lastUpdated":null}'),t={name:"source/methods/geom_relations/within.md"},l=n("",41),p=[l];function e(k,r,E,g,d,y){return a(),i("div",null,p)}const F=s(t,[["render",e]]);export{c as __pageData,F as default};
diff --git a/previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.js b/previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.js
similarity index 99%
rename from previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.js
rename to previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.js
index 741308b3b..9e6ffc495 100644
--- a/previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.js
+++ b/previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/qleekya.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR170/assets/skyoztq.CwvGqWMy.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n(`
Segmentize ​
julia
export segmentize
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/vgabczt.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR170/assets/ksxenlh.BohaNpVA.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n(`
Segmentize ​
julia
export segmentize
 export LinearSegments, GeodesicSegments
This function "segmentizes" or "densifies" a geometry by adding extra vertices to the geometry so that no segment is longer than a given distance. This is useful for plotting geometries with a limited number of vertices, or for ensuring that a geometry is not too "coarse" for a given application.
Info
We plan to add interpolated segmentization from DataInterpolations.jl in the future, which will be available to any vector of point-like objects.
For now, this function only works on 2D geometries. We will also support 3D geometries, as well as measure interpolation, in the future.
Examples ​
julia
import GeometryOps as GO, GeoInterface as GI
 rectangle = GI.Wrappers.Polygon([[(0.0, 50.0), (7.071, 57.07), (0, 64.14), (-7.07, 57.07), (0.0, 50.0)]])
 linear = GO.segmentize(rectangle; max_distance = 5)
diff --git a/previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.lean.js b/previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.lean.js
similarity index 67%
rename from previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.lean.js
rename to previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.lean.js
index 7d74ac017..a1591893a 100644
--- a/previews/PR170/assets/source_transformations_segmentize.md.MfRz0wvU.lean.js
+++ b/previews/PR170/assets/source_transformations_segmentize.md.DunGH4uP.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/qleekya.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR170/assets/skyoztq.CwvGqWMy.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n("",34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/vgabczt.BOOG5oTW.png",t="/GeometryOps.jl/previews/PR170/assets/ksxenlh.BohaNpVA.png",c=JSON.parse('{"title":"Segmentize","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/segmentize.md","filePath":"source/transformations/segmentize.md","lastUpdated":null}'),e={name:"source/transformations/segmentize.md"},l=n("",34),k=[l];function p(r,E,d,g,y,o){return a(),i("div",null,k)}const C=s(e,[["render",p]]);export{c as __pageData,C as default};
diff --git a/previews/PR170/assets/source_transformations_simplify.md.6spVeui9.js b/previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.js
similarity index 99%
rename from previews/PR170/assets/source_transformations_simplify.md.6spVeui9.js
rename to previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.js
index 48a9def16..9df81155c 100644
--- a/previews/PR170/assets/source_transformations_simplify.md.6spVeui9.js
+++ b/previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/fcpurtm.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR170/assets/uutztun.B94PsR1K.png",k="/GeometryOps.jl/previews/PR170/assets/qgarevb.CRBcYDfZ.png",t="/GeometryOps.jl/previews/PR170/assets/ltotbyt.M8VZlAQ3.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/xqbpsup.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR170/assets/tcaozqo.B94PsR1K.png",k="/GeometryOps.jl/previews/PR170/assets/tubtupe.DCcFLi7R.png",t="/GeometryOps.jl/previews/PR170/assets/vgzusxb.BKQ3OVwl.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n(`
Geometry simplification ​
This file holds implementations for the RadialDistance, Douglas-Peucker, and Visvalingam-Whyatt algorithms for simplifying geometries (specifically for polygons and lines).
The GEOS extension also allows for GEOS's topology preserving simplification as well as Douglas-Peucker simplification implemented in GEOS. Call this by passing GEOS(; method = :TopologyPreserve) or GEOS(; method = :DouglasPeucker) to the algorithm.
Examples ​
A quick and dirty example is:
julia
using Makie, GeoInterfaceMakie
 import GeoInterface as GI
 import GeometryOps as GO
 
diff --git a/previews/PR170/assets/source_transformations_simplify.md.6spVeui9.lean.js b/previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.lean.js
similarity index 56%
rename from previews/PR170/assets/source_transformations_simplify.md.6spVeui9.lean.js
rename to previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.lean.js
index 5f2229553..a50043cd4 100644
--- a/previews/PR170/assets/source_transformations_simplify.md.6spVeui9.lean.js
+++ b/previews/PR170/assets/source_transformations_simplify.md.B7jXsBIt.lean.js
@@ -1 +1 @@
-import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/fcpurtm.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR170/assets/uutztun.B94PsR1K.png",k="/GeometryOps.jl/previews/PR170/assets/qgarevb.CRBcYDfZ.png",t="/GeometryOps.jl/previews/PR170/assets/ltotbyt.M8VZlAQ3.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
+import{_ as s,c as i,o as a,a6 as n}from"./chunks/framework.tAJTkgFA.js";const h="/GeometryOps.jl/previews/PR170/assets/xqbpsup.Bglvb-jp.png",l="/GeometryOps.jl/previews/PR170/assets/tcaozqo.B94PsR1K.png",k="/GeometryOps.jl/previews/PR170/assets/tubtupe.DCcFLi7R.png",t="/GeometryOps.jl/previews/PR170/assets/vgzusxb.BKQ3OVwl.png",u=JSON.parse('{"title":"Geometry simplification","description":"","frontmatter":{},"headers":[],"relativePath":"source/transformations/simplify.md","filePath":"source/transformations/simplify.md","lastUpdated":null}'),p={name:"source/transformations/simplify.md"},e=n("",71),E=[e];function r(d,g,y,F,o,c){return a(),i("div",null,E)}const D=s(p,[["render",r]]);export{u as __pageData,D as default};
diff --git a/previews/PR170/assets/nxwtzqa.CgiryX2p.png b/previews/PR170/assets/szwqgdi.CgiryX2p.png
similarity index 100%
rename from previews/PR170/assets/nxwtzqa.CgiryX2p.png
rename to previews/PR170/assets/szwqgdi.CgiryX2p.png
diff --git a/previews/PR170/assets/uutztun.B94PsR1K.png b/previews/PR170/assets/tcaozqo.B94PsR1K.png
similarity index 100%
rename from previews/PR170/assets/uutztun.B94PsR1K.png
rename to previews/PR170/assets/tcaozqo.B94PsR1K.png
diff --git a/previews/PR170/assets/hvsodld.yuGUdylf.png b/previews/PR170/assets/tlhuyhd.yuGUdylf.png
similarity index 100%
rename from previews/PR170/assets/hvsodld.yuGUdylf.png
rename to previews/PR170/assets/tlhuyhd.yuGUdylf.png
diff --git a/previews/PR170/assets/tubtupe.DCcFLi7R.png b/previews/PR170/assets/tubtupe.DCcFLi7R.png
new file mode 100644
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diff --git a/previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.lean.js b/previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.lean.js
deleted file mode 100644
index ea9f82c4d..000000000
--- a/previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.lean.js
+++ /dev/null
@@ -1 +0,0 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/tksjfhp.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR170/assets/gtsfnjd.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR170/assets/pmxevty.0OJvb21A.png",p="/GeometryOps.jl/previews/PR170/assets/pyucncc.DaovVbE6.png",h="/GeometryOps.jl/previews/PR170/assets/lcjokrc.BaZeu6ul.png",o="/GeometryOps.jl/previews/PR170/assets/kuuhyio.DFgr-JEI.png",k="/GeometryOps.jl/previews/PR170/assets/hvsodld.yuGUdylf.png",r="/GeometryOps.jl/previews/PR170/assets/gcdvyae.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR170/assets/gpgtkil.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR170/assets/onllxiw.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR170/assets/upkdahb.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.js b/previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.js
similarity index 99%
rename from previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.js
rename to previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.js
index 6efebdbed..d5c349569 100644
--- a/previews/PR170/assets/tutorials_creating_geometry.md.6DyjoJNi.js
+++ b/previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.js
@@ -1,4 +1,4 @@
-import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/tksjfhp.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR170/assets/gtsfnjd.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR170/assets/pmxevty.0OJvb21A.png",p="/GeometryOps.jl/previews/PR170/assets/pyucncc.DaovVbE6.png",h="/GeometryOps.jl/previews/PR170/assets/lcjokrc.BaZeu6ul.png",o="/GeometryOps.jl/previews/PR170/assets/kuuhyio.DFgr-JEI.png",k="/GeometryOps.jl/previews/PR170/assets/hvsodld.yuGUdylf.png",r="/GeometryOps.jl/previews/PR170/assets/gcdvyae.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR170/assets/gpgtkil.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR170/assets/onllxiw.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR170/assets/upkdahb.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/efatnas.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR170/assets/uhzdqot.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR170/assets/oefmkjm.0OJvb21A.png",p="/GeometryOps.jl/previews/PR170/assets/oasruoh.DaovVbE6.png",h="/GeometryOps.jl/previews/PR170/assets/mcsuqzm.BaZeu6ul.png",o="/GeometryOps.jl/previews/PR170/assets/hxckyuz.DFgr-JEI.png",k="/GeometryOps.jl/previews/PR170/assets/tlhuyhd.yuGUdylf.png",r="/GeometryOps.jl/previews/PR170/assets/wdvbfdc.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR170/assets/wbxncfa.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR170/assets/utoyiry.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR170/assets/pbzglwr.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e(`
Creating Geometry ​
In this tutorial, we're going to:
  1. Create and plot geometries
  2. Plot geometries on a map using GeoMakie and coordinate reference system (CRS)
  3. Create geospatial geometries with embedded coordinate reference system information
  4. Assign attributes to geospatial geometries
  5. Save geospatial geometries to common geospatial file formats
First, we load some required packages.
julia
# Geospatial packages from Julia
 import GeoInterface as GI
 import GeometryOps as GO
 import GeoFormatTypes as GFT
diff --git a/previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.lean.js b/previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.lean.js
new file mode 100644
index 000000000..96c651e72
--- /dev/null
+++ b/previews/PR170/assets/tutorials_creating_geometry.md.DDUjAPqz.lean.js
@@ -0,0 +1 @@
+import{_ as s,c as i,o as a,a6 as e}from"./chunks/framework.tAJTkgFA.js";const t="/GeometryOps.jl/previews/PR170/assets/efatnas.Dz86q2IX.png",n="/GeometryOps.jl/previews/PR170/assets/uhzdqot.Cx40vhB3.png",l="/GeometryOps.jl/previews/PR170/assets/oefmkjm.0OJvb21A.png",p="/GeometryOps.jl/previews/PR170/assets/oasruoh.DaovVbE6.png",h="/GeometryOps.jl/previews/PR170/assets/mcsuqzm.BaZeu6ul.png",o="/GeometryOps.jl/previews/PR170/assets/hxckyuz.DFgr-JEI.png",k="/GeometryOps.jl/previews/PR170/assets/tlhuyhd.yuGUdylf.png",r="/GeometryOps.jl/previews/PR170/assets/wdvbfdc.CXhMGpE5.png",g="/GeometryOps.jl/previews/PR170/assets/wbxncfa.lu4jwpi-.png",d="/GeometryOps.jl/previews/PR170/assets/utoyiry.DwqDxlAG.png",E="/GeometryOps.jl/previews/PR170/assets/pbzglwr.CLtpJ5Wb.png",D=JSON.parse('{"title":"Creating Geometry","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/creating_geometry.md","filePath":"tutorials/creating_geometry.md","lastUpdated":null}'),c={name:"tutorials/creating_geometry.md"},y=e("",120),F=[y];function u(f,C,m,b,v,G){return a(),i("div",null,F)}const P=s(c,[["render",u]]);export{D as __pageData,P as default};
diff --git a/previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.js b/previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.js
similarity index 99%
rename from previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.js
rename to previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.js
index 65b781de4..bea25bfda 100644
--- a/previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.js
+++ b/previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.js
@@ -1,4 +1,4 @@
-import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/vmhwytx.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR170/assets/rbhtzvc.Csv1tzdB.png",p="/GeometryOps.jl/previews/PR170/assets/wyflpff.DoVI3w7E.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
+import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/ctcmkrr.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR170/assets/dcezaav.COB7RfFG.png",p="/GeometryOps.jl/previews/PR170/assets/ehisebf.CfOOSIYs.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n('',1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n(`
Spatial joins can be done between any geometry types (from geometrycollections to points), just as geometrical predicates can be evaluated on any geometries.
In this tutorial, we will show how to perform a spatial join on first a toy dataset and then two Natural Earth datasets, to show how this can be used in the real world.
In order to perform the spatial join, we use FlexiJoins.jl to perform the join, specifically using its by_pred joining method. This allows the user to specify a predicate in the following manner:
julia
[inner/left/right/outer/...]join((table1, table1),
     by_pred(:table1_column, predicate_function, :table2_column) # & add other conditions here
 )
We have enabled the use of all of GeometryOps' boolean comparisons here. These are:
julia
GO.contains, GO.within, GO.intersects, GO.touches, GO.crosses, GO.disjoint, GO.overlaps, GO.covers, GO.coveredby, GO.equals
Tip
Always place the dataframe with more complex geometries second, as that is the one which will be sorted into a tree.
Simple example ​
This example demonstrates how to perform a spatial join between two datasets: a set of polygons and a set of randomly generated points.
The polygons are represented as a DataFrame with geometries and colors, while the points are stored in a separate DataFrame.
The spatial join is performed using the contains predicate from GeometryOps, which checks if each point is contained within any of the polygons. The resulting joined DataFrame is then used to plot the points, colored according to the containing polygon.
First, we generate our data. We create two triangle polygons which, together, span the rectangle (0, 0, 1, 1), and a set of points which are randomly distributed within this rectangle.
julia
import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames
@@ -39,4 +39,4 @@ import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.tAJTkg
     ::FlexiJoins.Mode.NestedLoopFast, 
     ::FlexiJoins.ByPred{typeof(my_predicate_function)}, 
     datas
-) = true
This will enable FlexiJoins to support your custom function, when it's passed to by_pred(:geometry, my_predicate_function, :geometry).
`,37);function T(_,b,f,D,w,Q){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
+) = true
This will enable FlexiJoins to support your custom function, when it's passed to by_pred(:geometry, my_predicate_function, :geometry).
`,37);function T(_,b,f,D,Q,w){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
diff --git a/previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.lean.js b/previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.lean.js
similarity index 89%
rename from previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.lean.js
rename to previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.lean.js
index 222a24b28..7f603ef67 100644
--- a/previews/PR170/assets/tutorials_spatial_joins.md.COzV79O0.lean.js
+++ b/previews/PR170/assets/tutorials_spatial_joins.md.DgTYz-bG.lean.js
@@ -1 +1 @@
-import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/vmhwytx.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR170/assets/rbhtzvc.Csv1tzdB.png",p="/GeometryOps.jl/previews/PR170/assets/wyflpff.DoVI3w7E.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n("",1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n("",37);function T(_,b,f,D,w,Q){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
+import{_ as h,c as a,j as s,a as i,a6 as n,o as t}from"./chunks/framework.tAJTkgFA.js";const e="/GeometryOps.jl/previews/PR170/assets/ctcmkrr.3UVIT8DR.png",l="/GeometryOps.jl/previews/PR170/assets/dcezaav.COB7RfFG.png",p="/GeometryOps.jl/previews/PR170/assets/ehisebf.CfOOSIYs.png",B=JSON.parse('{"title":"Spatial joins","description":"","frontmatter":{},"headers":[],"relativePath":"tutorials/spatial_joins.md","filePath":"tutorials/spatial_joins.md","lastUpdated":null}'),k={name:"tutorials/spatial_joins.md"},r=s("h1",{id:"Spatial-joins",tabindex:"-1"},[i("Spatial joins "),s("a",{class:"header-anchor",href:"#Spatial-joins","aria-label":'Permalink to "Spatial joins {#Spatial-joins}"'},"​")],-1),E=s("a",{href:"https://www.geeksforgeeks.org/sql-join-set-1-inner-left-right-and-full-joins/",target:"_blank",rel:"noreferrer"},"table joins",-1),d={class:"MathJax",jax:"SVG",style:{direction:"ltr",position:"relative"}},o={style:{overflow:"visible","min-height":"1px","min-width":"1px","vertical-align":"-0.566ex"},xmlns:"http://www.w3.org/2000/svg",width:"6.307ex",height:"2.262ex",role:"img",focusable:"false",viewBox:"0 -750 2787.7 1000","aria-hidden":"true"},g=n("",1),y=[g],c=s("mjx-assistive-mml",{unselectable:"on",display:"inline",style:{top:"0px",left:"0px",clip:"rect(1px, 1px, 1px, 1px)","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none",position:"absolute",padding:"1px 0px 0px 0px",border:"0px",display:"block",width:"auto",overflow:"hidden"}},[s("math",{xmlns:"http://www.w3.org/1998/Math/MathML"},[s("mi",null,"p"),s("mo",{stretchy:"false"},"("),s("mi",null,"x"),s("mo",null,","),s("mi",null,"y"),s("mo",{stretchy:"false"},")")])],-1),F=s("code",null,"true",-1),u=s("code",null,"false",-1),m=s("a",{href:"https://en.wikipedia.org/wiki/DE-9IM",target:"_blank",rel:"noreferrer"},[s("code",null,"DE-9IM")],-1),C=n("",37);function T(_,b,f,D,Q,w){return t(),a("div",null,[r,s("p",null,[i("Spatial joins are "),E,i(" which are based not on equality, but on some predicate "),s("mjx-container",d,[(t(),a("svg",o,y)),c]),i(", which takes two geometries, and returns a value of either "),F,i(" or "),u,i(". For geometries, the "),m,i(" spatial relationship model is used to determine the spatial relationship between two geometries.")]),C])}const v=h(k,[["render",T]]);export{B as __pageData,v as default};
diff --git a/previews/PR170/assets/gtsfnjd.Cx40vhB3.png b/previews/PR170/assets/uhzdqot.Cx40vhB3.png
similarity index 100%
rename from previews/PR170/assets/gtsfnjd.Cx40vhB3.png
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diff --git a/previews/PR170/assets/onllxiw.DwqDxlAG.png b/previews/PR170/assets/utoyiry.DwqDxlAG.png
similarity index 100%
rename from previews/PR170/assets/onllxiw.DwqDxlAG.png
rename to previews/PR170/assets/utoyiry.DwqDxlAG.png
diff --git a/previews/PR170/assets/qleekya.BOOG5oTW.png b/previews/PR170/assets/vgabczt.BOOG5oTW.png
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rename from previews/PR170/assets/qleekya.BOOG5oTW.png
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similarity index 100%
rename from previews/PR170/assets/gpgtkil.lu4jwpi-.png
rename to previews/PR170/assets/wbxncfa.lu4jwpi-.png
diff --git a/previews/PR170/assets/gcdvyae.CXhMGpE5.png b/previews/PR170/assets/wdvbfdc.CXhMGpE5.png
similarity index 100%
rename from previews/PR170/assets/gcdvyae.CXhMGpE5.png
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diff --git a/previews/PR170/call_notes.html b/previews/PR170/call_notes.html
index 84ab96a1e..925d425d4 100644
--- a/previews/PR170/call_notes.html
+++ b/previews/PR170/call_notes.html
@@ -8,10 +8,10 @@
     
     
     
-    
+    
     
     
-    
+    
     
     
     
@@ -19,7 +19,7 @@
   
   
     
GeometryOps.jl
Appearance
20th April, 2024 ​
See GeometryOps#114.
  • [ ] Exact predicates can be defined for lower-level, more atomic predicates within GeometryOps.
  • [ ] Add Shewchuck's adaptive math as a stage for exact predicates.
  • [x] @skygering to write docstrings for the predicates
29th Feb, 2024 ​
To do ​
  • [ ] Finish clipping degeneracies
  • [ ] Fix cross & overlap functions
  • [x] Benchmarks to show why things you couldn't concieve of in R are doable in Julia
  • [x] profile functions for exponential improvements
  • [ ] A list of projects people can work on...the beauty here is that each function is kind of self-contained so it's an undergrad level project
  • [ ] Doc improvements
    • more
    • benchmarks page
  • Methods to validate and fix geometry
    • [ ] Polygons and LinearRings:
      • [ ] self-intersection
      • [ ] holes are actually within the polygon
      • [ ] Polygon exteriors must be counterclockwise, holes clockwise.
      • [ ] length of all rings > 4
      • [ ] repeated last point
    • [ ] LineStrings: NaN/Inf points
    • [x] Fix linear rings at some point to make sure the ring is closed, i.e., points[end] == points[begin]
  • Tests
    • [x] Simplify functions
    • [x] Polygonize
    • Barycentric tests for n_vertices > 4
Done ​
  • Rename bools.jl to something more relevant to the actual code -> orientation.jl
  • Doc improvements:
    • organise sections

-    
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\ No newline at end of file
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index 97b5e51e4..123e80969 100644
--- a/previews/PR170/experiments/accurate_accumulators.html
+++ b/previews/PR170/experiments/accurate_accumulators.html
@@ -8,10 +8,10 @@
     
     
     
-    
+    
     
     
-    
+    
     
     
     
@@ -24,7 +24,7 @@
 using NaturalEarth
 
 all_adm0 = naturalearth("admin_0_countries", 10)
FeatureCollection with 258 Features
julia
GO.area(all_adm0)
21427.909318372607
julia
AccurateArithmetic.sum_oro(GO.area.(all_adm0.geometry))
21427.909318372607
julia
AccurateArithmetic.sum_kbn(GO.area.(all_adm0.geometry))
21427.909318372607
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum
-21427.90063612163
julia
GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_oro
-21427.90063612163
@example accurate GI.Polygon.(GO.flatten(Union{GI.LineStringTrait, GI.LinearRingTrait}, all_adm0) |> collect .|> x -> [x]) .|> GO.signed_area |> sum_kbn ```
- + \ No newline at end of file diff --git a/previews/PR170/experiments/predicates.html b/previews/PR170/experiments/predicates.html index ba21696b7..eda6fff6d 100644 --- a/previews/PR170/experiments/predicates.html +++ b/previews/PR170/experiments/predicates.html @@ -8,11 +8,11 @@ - + - - + + @@ -59,7 +59,7 @@ display(fig) end resize!(fig, 1000, 450) -fig

Dashboard ​

julia
using WGLMakie
+fig

Dashboard ​

julia
using WGLMakie
 import GeometryOps as GO, GeoInterface as GI, LibGEOS as LG
 import ExactPredicates
 using MultiFloats
@@ -116,7 +116,7 @@
 
 GO.intersection(p1_m, p2_m; target = GI.PolygonTrait(), fix_multipoly = nothing)
 LG.intersection(p1_m, p2_m)

Incircle ​

- + \ No newline at end of file diff --git a/previews/PR170/explanations/crs.html b/previews/PR170/explanations/crs.html index a28585a49..3140463b8 100644 --- a/previews/PR170/explanations/crs.html +++ b/previews/PR170/explanations/crs.html @@ -8,18 +8,18 @@ - + - - + + -
GeometryOps.jl

Appearance

Coordinate Reference Systems ​

Coordinate Reference Systems are simply descriptions of what some set of coordinates really mean in reference to some standard.

In a mathematical sense, coordinate reference systems can be thought of defining a space, with associated transformations from and to latitude-longitude space (plate-carree, long-lat, WGS84) which is the default CRS we assume.

Geographic CRS ​

If a CRS is geographic, that means that it refers to coordinates on a sphere. Such coordinates should ideally be handled using a spherical geometry library like Google's s2. GeometryOps does not currently handle spherical geometry computations except in special cases (perimeter, GeodesicSegments in segmentize, GeodesicDistance).

A non-geographic CRS is assumed to be in Cartesian space.

Projected CRS ​

Projected CRS are generally treated as Cartesian.

Ways to describe CRS ​

Completely separate from the meaning of the CRS is the way you describe or define it. There are a dizzying array of ways to do this, but two easy ones are Proj strings and Well Known Text.

The geographic community seems to be standardizing on Well Known Text as the "best" CRS identifier. This is quite verbose, but is unambiguous and easy enough to read once you get the hang of it.

To indicate the type of CRS definition you're using, you can wrap a string in its corresponding GeoFormatTypes type.

CRS format table ​

<!– TODO: convert this to a Markdown table–>

  • Proj-strings: a brief but powerful way to describe a set of known CRS + some transformations to them. Really useful when plotting and interactively adjusting CRS. See the Proj docs.

  • EPSG codes: a short way to refer to a known coordinate system in the database of the European Petroleum Survey Group. Example: EPSG:4236.

  • ESRI codes: similar to EPSG codes, but referring to CRS known to ESRI instead. Example: ESRI:12345

  • ProjJSON: a more structured way to express Proj-strings using JSON.

  • KML: key-markup language, an XML extension, used in web feature services

  • Mapinfo CoordSys:

- +
GeometryOps.jl

Appearance

Coordinate Reference Systems ​

Coordinate Reference Systems are simply descriptions of what some set of coordinates really mean in reference to some standard.

In a mathematical sense, coordinate reference systems can be thought of defining a space, with associated transformations from and to latitude-longitude space (plate-carree, long-lat, WGS84) which is the default CRS we assume.

Geographic CRS ​

If a CRS is geographic, that means that it refers to coordinates on a sphere. Such coordinates should ideally be handled using a spherical geometry library like Google's s2. GeometryOps does not currently handle spherical geometry computations except in special cases (perimeter, GeodesicSegments in segmentize, GeodesicDistance).

A non-geographic CRS is assumed to be in Cartesian space.

Projected CRS ​

Projected CRS are generally treated as Cartesian.

Ways to describe CRS ​

Completely separate from the meaning of the CRS is the way you describe or define it. There are a dizzying array of ways to do this, but two easy ones are Proj strings and Well Known Text.

The geographic community seems to be standardizing on Well Known Text as the "best" CRS identifier. This is quite verbose, but is unambiguous and easy enough to read once you get the hang of it.

To indicate the type of CRS definition you're using, you can wrap a string in its corresponding GeoFormatTypes type.

CRS format table ​

<!– TODO: convert this to a Markdown table–>

  • Proj-strings: a brief but powerful way to describe a set of known CRS + some transformations to them. Really useful when plotting and interactively adjusting CRS. See the Proj docs.

  • EPSG codes: a short way to refer to a known coordinate system in the database of the European Petroleum Survey Group. Example: EPSG:4236.

  • ESRI codes: similar to EPSG codes, but referring to CRS known to ESRI instead. Example: ESRI:12345

  • ProjJSON: a more structured way to express Proj-strings using JSON.

  • KML: key-markup language, an XML extension, used in web feature services

  • Mapinfo CoordSys:

+ \ No newline at end of file diff --git a/previews/PR170/explanations/paradigms.html b/previews/PR170/explanations/paradigms.html index 2506e648e..d222bf92a 100644 --- a/previews/PR170/explanations/paradigms.html +++ b/previews/PR170/explanations/paradigms.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

Paradigms ​

GeometryOps exposes functions like apply and applyreduce, as well as the fix and prepare APIs, that represent paradigms of programming, by which we mean the ability to program in a certain way, and in so doing, fit neatly into the tools we've built without needing to re-implement the wheel.

Below, we'll describe some of the foundational paradigms of GeometryOps, and why you should care!

apply ​

The apply function allows you to decompose a given collection of geometries down to a certain level, operate on it, and reconstruct it back to the same nested form as the original. In general, its invocation is:

julia
apply(f, trait::Trait, geom)

Functionally, it's similar to map in the way you apply it to geometries - except that you tell it at which level it should stop, by passing a trait to it.

apply will start by decomposing the geometry, feature, featurecollection, iterable, or table that you pass to it, and stop when it encounters a geometry for which GI.trait(geom) isa Trait. This encompasses unions of traits especially, but beware that any geometry which is not explicitly handled, and hits GI.PointTrait, will cause an error.

apply is unlike map in that it returns reconstructed geometries, instead of the raw output of the function. If you want a purely map-like behaviour, like calculating the length of each linestring in your feature collection, then call GO.flatten(f, trait, geom), which will decompose each geometry to the given trait and apply f to it, returning the decomposition as a flattened vector.

applyreduce ​

applyreduce is like the previous map-based approach that we mentioned, except that it reduces the result of f by op. Note that applyreduce does not guarantee associativity, so it's best to have typeof(init) == returntype(op).

fix and prepare ​

The fix and prepare paradigms are different from apply, though they are built on top of it. They involve the use of structs as "actions", where a constructed object indicates an action that should be taken. A trait like interface prescribes the level (polygon, linestring, point, etc) at which each action should be applied.

In general, the idea here is to be able to invoke several actions efficiently and simultaneously, for example when correcting invalid geometries, or instantiating a Prepared geometry with several preparations (sorted edge lists, rtrees, monotone chains, etc.)

- + \ No newline at end of file diff --git a/previews/PR170/explanations/peculiarities.html b/previews/PR170/explanations/peculiarities.html index ac3fc7974..279ca3b50 100644 --- a/previews/PR170/explanations/peculiarities.html +++ b/previews/PR170/explanations/peculiarities.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

Peculiarities ​

What does apply return and why? ​

apply returns the target geometries returned by f, whatever type/package they are from, but geometries, features or feature collections that wrapped the target are replaced with GeoInterace.jl wrappers with matching GeoInterface.trait to the originals. All non-geointerface iterables become Arrays. Tables.jl compatible tables are converted either back to the original type if a Tables.materializer is defined, and if not then returned as generic NamedTuple column tables (i.e., a NamedTuple of vectors).

It is recommended for consistency that f returns GeoInterface geometries unless there is a performance/conversion overhead to doing that.

Why do you want me to provide a target in set operations? ​

In polygon set operations like intersection, difference, and union, many different geometry types may be obtained - depending on the relationship between the polygons. For example, when performing an union on two nonintersecting polygons, one would technically have two disjoint polygons as an output.

We use the target keyword to allow the user to control which kinds of geometry they want back. For example, setting target to PolygonTrait will cause a vector of polygons to be returned (this is the only currently supported behaviour). In future, we may implement MultiPolygonTrait or GeometryCollectionTrait targets which will return a single geometry, as LibGEOS and ArchGDAL do.

This also allows for a lot more type stability - when you ask for polygons, we won't return a geometrycollection with line segments. Especially in simulation workflows, this is excellent for simplified data processing.

_True and _False (or BoolsAsTypes) ​

Warning

These are internals and explicitly not public API, meaning they may change at any time!

When dispatch can be controlled by the value of a boolean variable, this introduces type instability. Instead of introducing type instability, we chose to encode our boolean decision variables, like threaded and calc_extent in apply, as types. This allows the compiler to reason about what will happen, and call the correct compiled method, in a stable way without worrying about

- + \ No newline at end of file diff --git a/previews/PR170/explanations/winding_order.html b/previews/PR170/explanations/winding_order.html index 1bf4967a0..86eb08606 100644 --- a/previews/PR170/explanations/winding_order.html +++ b/previews/PR170/explanations/winding_order.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

Winding order ​

Winding order refers specifically to the "direction" that a polygon's rings go in. This has several different and conflicting definitions, which you can find some discussion of in the following articles:

GeometryOps assumes that polygon exteriors are clockwise and interiors are counterclockwise. However, most algorithms are agnostic to winding order, and instead rely on the GeoInterface getexterior and gethole functions to distinguish holes from exteriors. Notably, most GIS implementations agree that polygons can have only one exterior but several holes.

What other libraries do ​

TODO: Markdown table with a bunch of libraries/standards, their winding orders, and references.

- + \ No newline at end of file diff --git a/previews/PR170/hashmap.json b/previews/PR170/hashmap.json index f60761286..a7759925f 100644 --- a/previews/PR170/hashmap.json +++ b/previews/PR170/hashmap.json @@ -1 +1 @@ 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diff --git a/previews/PR170/index.html b/previews/PR170/index.html index f232507fe..0a0ba58fa 100644 --- a/previews/PR170/index.html +++ b/previews/PR170/index.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

GeometryOps.jl

Blazing fast geometry operations in pure Julia

Introduction
View on Github
API Reference
GeometryOps
Julia code

Pure Julia code

Fast, understandable, extensible functions

Literate programming

Documented source code with examples!

Full integration with GeoInterface

Use any GeoInterface.jl-compatible geometry

What is GeometryOps.jl?

GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.

The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.

Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.

We welcome contributions, either as pull requests or discussion on issues!

- + \ No newline at end of file diff --git a/previews/PR170/introduction.html b/previews/PR170/introduction.html index 8190eb1c9..4d0c39653 100644 --- a/previews/PR170/introduction.html +++ b/previews/PR170/introduction.html @@ -8,10 +8,10 @@ - + - + @@ -19,7 +19,7 @@
GeometryOps.jl

Appearance

Introduction ​

GeometryOps.jl is a package for geometric calculations on (primarily 2D) geometries.

The driving idea behind this package is to unify all the disparate packages for geometric calculations in Julia, and make them GeoInterface.jl-compatible. We seem to be focusing primarily on 2/2.5D geometries for now.

Most of the usecases are driven by GIS and similar Earth data workflows, so this might be a bit specialized towards that, but methods should always be general to any coordinate space.

We welcome contributions, either as pull requests or discussion on issues!

Main concepts ​

The apply paradigm ​

Note

See the Primitive Functions page for more information on this.

The apply function allows you to decompose a given collection of geometries down to a certain level, and then operate on it.

Functionally, it's similar to map in the way you apply it to geometries.

apply and applyreduce take any geometry, vector of geometries, collection of geometries, or table (like Shapefile.Table, DataFrame, or GeoTable)!

What's this GeoInterface.Wrapper thing? ​

Write a comment about GeoInterface.Wrapper and why it helps in type stability to guarantee a particular return type.

- + \ No newline at end of file diff --git a/previews/PR170/source/GeometryOps.html b/previews/PR170/source/GeometryOps.html index c540f3d99..956a82d06 100644 --- a/previews/PR170/source/GeometryOps.html +++ b/previews/PR170/source/GeometryOps.html @@ -8,10 +8,10 @@ - + - + @@ -90,7 +90,7 @@ end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/angles.html b/previews/PR170/source/methods/angles.html index 259d92e4d..dac2c6019 100644 --- a/previews/PR170/source/methods/angles.html +++ b/previews/PR170/source/methods/angles.html @@ -8,11 +8,11 @@ - + - - + + @@ -23,7 +23,7 @@ using Makie, CairoMakie rect = GI.Polygon([[(0.0, 0.0), (0.0, 1.0), (1.0, 1.0), (1.0, 0.0), (0.0, 0.0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

This is clearly a rectangle, with angles of 90 degrees.

julia
GO.angles(rect)  # [90, 90, 90, 90]
4-element Vector{Float64}:
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

This is clearly a rectangle, with angles of 90 degrees.

julia
GO.angles(rect)  # [90, 90, 90, 90]
4-element Vector{Float64}:
  90.0
  90.0
  90.0
@@ -142,7 +142,7 @@
     angle = real(acos(val) * 180 / π)
     return angle * (cross_prod < 0 ? -1 : 1)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/area.html b/previews/PR170/source/methods/area.html index dc6510149..d3efe4696 100644 --- a/previews/PR170/source/methods/area.html +++ b/previews/PR170/source/methods/area.html @@ -8,11 +8,11 @@ - + - - + + @@ -24,10 +24,10 @@ using CairoMakie rect = GI.Polygon([[(0,0), (0,1), (1,1), (1,0), (0, 0)]]) -f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

This is clearly a rectangle, etc. But now let's look at how the points look:

julia
lines!(
+f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect()))

This is clearly a rectangle, etc. But now let's look at how the points look:

julia
lines!(
     collect(GI.getpoint(rect));
     color = 1:GI.npoint(rect), linewidth = 10.0)
-f

The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a postive area.

julia
GO.signed_area(rect)  # -1.0
-1.0

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.

Targets for applys functions

julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
+f

The points are ordered in a counterclockwise fashion, which means that the signed area is negative. If we reverse the order of the points, we get a postive area.

julia
GO.signed_area(rect)  # -1.0
-1.0

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that area and signed area are zero for all points and curves, even if the curves are closed like with a linear ring. Also note that signed area really only makes sense for polygons, given with a multipolygon can have several polygons each with a different orientation and thus the absolute value of the signed area might not be the area. This is why signed area is only implemented for polygons.

Targets for applys functions

julia
const _AREA_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()
 
 """
     area(geom, [T = Float64])::T
@@ -105,7 +105,7 @@
     area += _area_component(p1, p2)
     return T(area / 2)
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/barycentric.html b/previews/PR170/source/methods/barycentric.html index 7f8ff841d..de9260706 100644 --- a/previews/PR170/source/methods/barycentric.html +++ b/previews/PR170/source/methods/barycentric.html @@ -8,10 +8,10 @@ - + - + @@ -433,7 +433,7 @@ struct Wachspress <: AbstractBarycentricCoordinateMethod end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/buffer.html b/previews/PR170/source/methods/buffer.html index edc5d20ad..3dfa30206 100644 --- a/previews/PR170/source/methods/buffer.html +++ b/previews/PR170/source/methods/buffer.html @@ -8,10 +8,10 @@ - + - + @@ -29,7 +29,7 @@ println(io, " in your REPL, \nor otherwise loading LibGEOS.jl via using or import.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/centroid.html b/previews/PR170/source/methods/centroid.html index 0f87c40a8..21b3175e4 100644 --- a/previews/PR170/source/methods/centroid.html +++ b/previews/PR170/source/methods/centroid.html @@ -8,11 +8,11 @@ - + - - + + @@ -24,9 +24,9 @@ using CairoMakie cshape = GI.Polygon([[(0,0), (0,3), (3,3), (3,2), (1,2), (1,1), (3,1), (3,0), (0,0)]]) -f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

Let's see what the centroid looks like (plotted in red):

julia
cent = GO.centroid(cshape)
+f, a, p = poly(collect(GI.getpoint(cshape)); axis = (; aspect = DataAspect()))

Let's see what the centroid looks like (plotted in red):

julia
cent = GO.centroid(cshape)
 scatter!(GI.x(cent), GI.y(cent), color = :red)
-f

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.

The helper functions centroid_and_length and centroid_and_area are made availible just in case the user also needs the area or length to decrease repeat computation.

julia
"""
+f

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that if you call centroid on a LineString or LinearRing, the centroid_and_length function will be called due to the weighting scheme described above, while centroid_and_area is called for polygons and multipolygons. However, centroid_and_area can still be called on a LineString or LinearRing when they are closed, for example as the interior hole of a polygon.

The helper functions centroid_and_length and centroid_and_area are made availible just in case the user also needs the area or length to decrease repeat computation.

julia
"""
     centroid(geom, [T=Float64])::Tuple{T, T}
 
 Returns the centroid of a given line segment, linear ring, polygon, or
@@ -111,7 +111,7 @@
     y = (y1 * area1 + y2 * area2) / area
     return (x, y), area
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/clipping_processor.html b/previews/PR170/source/methods/clipping/clipping_processor.html index e394a1556..3c00f88e8 100644 --- a/previews/PR170/source/methods/clipping/clipping_processor.html +++ b/previews/PR170/source/methods/clipping/clipping_processor.html @@ -8,10 +8,10 @@ - + - + @@ -525,7 +525,7 @@ end return end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/coverage.html b/previews/PR170/source/methods/clipping/coverage.html index 375245c8c..5a9c8eb0a 100644 --- a/previews/PR170/source/methods/clipping/coverage.html +++ b/previews/PR170/source/methods/clipping/coverage.html @@ -8,11 +8,11 @@ - + - - + + @@ -28,7 +28,7 @@ xmin, xmax, ymin, ymax = 0, 2, 0, 2 f, a, p = poly(collect(GI.getpoint(cell)); axis = (; aspect = DataAspect())) poly!(collect(GI.getpoint(rect))) -f

It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.

julia
GO.coverage(rect, xmin, xmax, ymin, ymax)
1.0

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.

Targets for applys functions

julia
const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()

Wall types for coverage

julia
const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
+f

It is clear that half of the polygon is within the cell, so the coverage should be 1.0, half of the area of the rectangle.

julia
GO.coverage(rect, xmin, xmax, ymin, ymax)
1.0

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that the coverage is zero for all points and curves, even if the curves are closed like with a linear ring.

Targets for applys functions

julia
const _COVERAGE_TARGETS = TraitTarget{Union{GI.PolygonTrait,GI.AbstractCurveTrait,GI.MultiPointTrait,GI.PointTrait}}()

Wall types for coverage

julia
const UNKNOWN, NORTH, EAST, SOUTH, WEST = 0:4
 
 """
     coverage(geom, xmin, xmax, ymin, ymax, [T = Float64])::T
@@ -241,7 +241,7 @@
     y_wall = (wall == NORTH || wall == WEST) ? ymax : ymin
     return x1 * y_wall - x_wall * y1
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/cut.html b/previews/PR170/source/methods/clipping/cut.html index edb6fe49f..4a9c0c733 100644 --- a/previews/PR170/source/methods/clipping/cut.html +++ b/previews/PR170/source/methods/clipping/cut.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ f, a, p1 = Makie.poly(collect(GI.getpoint(cut_polys[1])); color = (:blue, 0.5)) Makie.poly!(collect(GI.getpoint(cut_polys[2])); color = (:orange, 0.5)) Makie.lines!(GI.getpoint(line); color = :black) -f

Implementation ​

This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.

julia
"""
+f

Implementation ​

This function depends on polygon clipping helper function and is inspired by the Greiner-Hormann clipping algorithm used elsewhere in this library. The inspiration came from this Stack Overflow discussion.

julia
"""
     cut(geom, line, [T::Type])
 
 Return given geom cut by given line as a list of geometries of the same type as the input
@@ -105,7 +105,7 @@
     end
     return return_coords
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/difference.html b/previews/PR170/source/methods/clipping/difference.html index 48120cf78..1c99e694b 100644 --- a/previews/PR170/source/methods/clipping/difference.html +++ b/previews/PR170/source/methods/clipping/difference.html @@ -8,10 +8,10 @@ - + - + @@ -184,7 +184,7 @@ ) return nothing end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/intersection.html b/previews/PR170/source/methods/clipping/intersection.html index 55422c2e1..6a48b72d2 100644 --- a/previews/PR170/source/methods/clipping/intersection.html +++ b/previews/PR170/source/methods/clipping/intersection.html @@ -8,10 +8,10 @@ - + - + @@ -401,7 +401,7 @@ α, β = _clamped_frac(distance(min_pt, a2, T), a_dist, eps(T)), one(T) - eps(T) end

Return point with smallest distance

julia
    return _tuple_point(min_pt, T), α, β
 end

Return value of x/y clamped between ϵ and 1 - ϵ

julia
_clamped_frac(x::T, y::T, ϵ = zero(T)) where T = clamp(x / y, ϵ, one(T) - ϵ)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/predicates.html b/previews/PR170/source/methods/clipping/predicates.html index ace551d4c..c8f5f9566 100644 --- a/previews/PR170/source/methods/clipping/predicates.html +++ b/previews/PR170/source/methods/clipping/predicates.html @@ -8,10 +8,10 @@ - + - + @@ -62,7 +62,7 @@ end import .Predicates

If we want to inject adaptivity, we would do something like: ​

function cross(a, b, c) # try Predicates._cross_naive(a, b, c) # check the error bound there # then try Predicates._cross_adaptive(a, b, c) # then try Predicates._cross_exact end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/clipping/union.html b/previews/PR170/source/methods/clipping/union.html index 6bd0186a0..87e086ba7 100644 --- a/previews/PR170/source/methods/clipping/union.html +++ b/previews/PR170/source/methods/clipping/union.html @@ -8,10 +8,10 @@ - + - + @@ -268,7 +268,7 @@ throw(ArgumentError("Union between $trait_a and $trait_b with target $Target isn't implemented yet.")) return nothing end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/distance.html b/previews/PR170/source/methods/distance.html index 0a91a7a7c..6633217e7 100644 --- a/previews/PR170/source/methods/distance.html +++ b/previews/PR170/source/methods/distance.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,13 +29,13 @@ f, a, p = poly(collect(GI.getpoint(rect)); axis = (; aspect = DataAspect())) scatter!(GI.x(point_in), GI.y(point_in); color = :red) scatter!(GI.x(point_out), GI.y(point_out); color = :orange) -f

This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to point_in is negative while the distance to point_out is positive.

julia
(
+f

This is clearly a rectangle with one point inside and one point outside. The points are both an equal distance to the polygon. The distance to point_in is negative while the distance to point_out is positive.

julia
(
 GO.distance(point_in, rect),  # == 0
 GO.signed_distance(point_in, rect),  # < 0
 GO.signed_distance(point_out, rect)  # > 0
 )
(0.0, -0.5, 0.5)

Consider also a heatmap of signed distances around this object:

julia
xrange = yrange = LinRange(-0.5, 1.5, 300)
 f, a, p = heatmap(xrange, yrange, GO.signed_distance.(Point2f.(xrange, yrange'), Ref(rect)); colormap = :RdBu, colorrange = (-0.75, 0.75))
-a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.

The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.

julia
const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
+a.aspect = DataAspect(); Colorbar(f[1, 2], p, label = "Signed distance"); lines!(a, GI.convert(GO.GeometryBasics, rect)); f

Implementation ​

This is the GeoInterface-compatible implementation. First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Distance and signed distance are only implemented for points to other geometries right now. This could be extended to include distance from other geometries in the future.

The distance calculated is the Euclidean distance using the Pythagorean theorem. Also note that singed_distance only makes sense for "filled-in" shapes, like polygons, so it isn't implemented for curves.

julia
const _DISTANCE_TARGETS = TraitTarget{Union{GI.AbstractPolygonTrait,GI.LineStringTrait,GI.LinearRingTrait,GI.LineTrait,GI.PointTrait}}()
 
 """
     distance(point, geom, ::Type{T} = Float64)::T
@@ -199,7 +199,7 @@
     end
     return min_dist
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/equals.html b/previews/PR170/source/methods/equals.html index 95b588315..59c188f78 100644 --- a/previews/PR170/source/methods/equals.html +++ b/previews/PR170/source/methods/equals.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that the two lines do not share a commen set of points and edges in the plot, so they are not equal:

julia
GO.equals(l1, l2)  # returns false
false

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicity written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.

julia
"""
+f

We can see that the two lines do not share a commen set of points and edges in the plot, so they are not equal:

julia
GO.equals(l1, l2)  # returns false
false

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that while we need the same set of points and edges, they don't need to be provided in the same order for polygons. For for example, we need the same set points for two multipoints to be equal, but they don't have to be saved in the same order. The winding order also doesn't have to be the same to represent the same geometry. This requires checking every point against every other point in the two geometries we are comparing. Also, some geometries must be "closed" like polygons and linear rings. These will be assumed to be closed, even if they don't have a repeated last point explicity written in the coordinates. Additionally, geometries and multi-geometries can be equal if the multi-geometry only includes that single geometry.

julia
"""
     equals(geom1, geom2)::Bool
 
 Compare two Geometries return true if they are the same geometry.
@@ -283,7 +283,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/contains.html b/previews/PR170/source/methods/geom_relations/contains.html index b65e3a46a..9b3c952fd 100644 --- a/previews/PR170/source/methods/geom_relations/contains.html +++ b/previews/PR170/source/methods/geom_relations/contains.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.

julia
GO.contains(l1, l2)  # returns true
+f

We can see that all of the points and edges of l2 are within l1, so l1 contains l2. However, l2 does not contain l1.

julia
GO.contains(l1, l2)  # returns true
 GO.contains(l2, l1)  # returns false
false

Implementation ​

This is the GeoInterface-compatible implementation.

Given that contains is the exact opposite of within, we simply pass the two inputs variables, swapped in order, to within.

julia
"""
     contains(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 contains(g1, g2) = GeometryOps.within(g2, g1)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/coveredby.html b/previews/PR170/source/methods/geom_relations/coveredby.html index 4b1d3792a..5354b4a1b 100644 --- a/previews/PR170/source/methods/geom_relations/coveredby.html +++ b/previews/PR170/source/methods/geom_relations/coveredby.html @@ -8,11 +8,11 @@ - + - - + + @@ -27,7 +27,7 @@ l1 = GI.Line([p1, (1.0, 1.0)]) f, a, p = lines(GI.getpoint(l1)) scatter!(p1, color = :red) -f

As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.

julia
GO.coveredby(p1, l1)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
+f

As we can see, p1 is on the endpoint of l1. This means it is not within, but it does meet the definition of coveredby.

julia
GO.coveredby(p1, l1)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the coveredby function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const COVEREDBY_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const COVEREDBY_CURVE_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const COVEREDBY_POLYGON_REQUIRES = (in_require = true, on_require = false, out_require = false,)
@@ -201,7 +201,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/covers.html b/previews/PR170/source/methods/geom_relations/covers.html index eb91e12a7..7b62ae9ea 100644 --- a/previews/PR170/source/methods/geom_relations/covers.html +++ b/previews/PR170/source/methods/geom_relations/covers.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ f, a, p = lines(GI.getpoint(l1)) scatter!(p1, color = :red) -f

julia
GO.covers(l1, p1)  # returns true
+f

julia
GO.covers(l1, p1)  # returns true
 GO.covers(p1, l1)  # returns false
false

Implementation ​

This is the GeoInterface-compatible implementation.

Given that covers is the exact opposite of coveredby, we simply pass the two inputs variables, swapped in order, to coveredby.

julia
"""
     covers(g1::AbstractGeometry, g2::AbstractGeometry)::Bool
 
@@ -51,7 +51,7 @@
 ```
 """
 covers(g1, g2)::Bool = GeometryOps.coveredby(g2, g1)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/crosses.html b/previews/PR170/source/methods/geom_relations/crosses.html index e366d59db..a1d7fac80 100644 --- a/previews/PR170/source/methods/geom_relations/crosses.html +++ b/previews/PR170/source/methods/geom_relations/crosses.html @@ -8,10 +8,10 @@ - + - + @@ -138,7 +138,7 @@ end return false end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/disjoint.html b/previews/PR170/source/methods/geom_relations/disjoint.html index bc118804f..d96990272 100644 --- a/previews/PR170/source/methods/geom_relations/disjoint.html +++ b/previews/PR170/source/methods/geom_relations/disjoint.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.

julia
GO.disjoint(l1, l2)  # returns true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
+f

We can see that none of the edges or vertices of l1 interact with l2 so they are disjoint.

julia
GO.disjoint(l1, l2)  # returns true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the disjoint function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are not allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const DISJOINT_ALLOWS = (in_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_CURVE_ALLOWS = (over_allow = false, cross_allow = false, on_allow = false, out_allow = true)
 const DISJOINT_REQUIRES = (in_require = false, on_require = false, out_require = false)
 const DISJOINT_EXACT = (exact = _False(),)
@@ -196,7 +196,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/geom_geom_processors.html b/previews/PR170/source/methods/geom_relations/geom_geom_processors.html index b0dc0484a..6baece419 100644 --- a/previews/PR170/source/methods/geom_relations/geom_geom_processors.html +++ b/previews/PR170/source/methods/geom_relations/geom_geom_processors.html @@ -8,10 +8,10 @@ - + - + @@ -455,7 +455,7 @@ end return skip, returnval end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/intersects.html b/previews/PR170/source/methods/geom_relations/intersects.html index fda7700aa..854b224af 100644 --- a/previews/PR170/source/methods/geom_relations/intersects.html +++ b/previews/PR170/source/methods/geom_relations/intersects.html @@ -8,11 +8,11 @@ - + - - + + @@ -27,7 +27,7 @@ line2 = GI.Line([(123.354492,-15.961329), (127.22168,-14.008696)]) f, a, p = lines(GI.getpoint(line1)) lines!(GI.getpoint(line2)) -f

We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.

julia
GO.intersects(line1, line2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.

julia
"""
+f

We can see that they intersect, so we expect intersects to return true, and we can visualize the intersection point in red.

julia
GO.intersects(line1, line2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

Given that intersects is the exact opposite of disjoint, we simply pass the two inputs variables, swapped in order, to disjoint.

julia
"""
     intersects(geom1, geom2)::Bool
 
 Return true if the interiors or boundaries of the two geometries interact.
@@ -45,7 +45,7 @@
 ```
 """
 intersects(geom1, geom2) = !disjoint(geom1, geom2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/overlaps.html b/previews/PR170/source/methods/geom_relations/overlaps.html index a21b3be23..253602f9b 100644 --- a/previews/PR170/source/methods/geom_relations/overlaps.html +++ b/previews/PR170/source/methods/geom_relations/overlaps.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that the two lines overlap in the plot:

julia
GO.overlaps(l1, l2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions autmoatically can return false.

For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectivly, without being contained.

julia
"""
+f

We can see that the two lines overlap in the plot:

julia
GO.overlaps(l1, l2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait. This is also used in the implementation, since it's a lot less work!

Note that that since only elements of the same dimension can overlap, any two geometries with traits that are of different dimensions autmoatically can return false.

For geometries with the same trait dimension, we must make sure that they share a point, an edge, or area for points, lines, and polygons/multipolygons respectivly, without being contained.

julia
"""
     overlaps(geom1, geom2)::Bool
 
 Compare two Geometries of the same dimension and return true if their
@@ -230,7 +230,7 @@
     seg_val, _, _ = _intersection_point(Float64, edge_a, edge_b; exact = _False())
     return seg_val != line_out
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/touches.html b/previews/PR170/source/methods/geom_relations/touches.html index d7f9fdae8..1b875ebc2 100644 --- a/previews/PR170/source/methods/geom_relations/touches.html +++ b/previews/PR170/source/methods/geom_relations/touches.html @@ -8,11 +8,11 @@ - + - - + + @@ -28,7 +28,7 @@ f, a, p = lines(GI.getpoint(l1)) lines!(GI.getpoint(l2)) -f

We can see that these two lines touch only at their endpoints.

julia
GO.touches(l1, l2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
+f

We can see that these two lines touch only at their endpoints.

julia
GO.touches(l1, l2)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the touches function and arguments g1 and g2, this criteria is as follows: - points of g1 are not allowed to be in the interior of g2 - points of g1 are allowed to be on the boundary of g2 - points of g1 are allowed to be in the exterior of g2 - no points of g1 are required to be in the interior of g2 - at least one point of g1 is required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const TOUCHES_POINT_ALLOWED = (in_allow = false, on_allow = true, out_allow = false)
 const TOUCHES_CURVE_ALLOWED = (over_allow = false, cross_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_POLYGON_ALLOWS = (in_allow = false, on_allow = true, out_allow = true)
 const TOUCHES_REQUIRES = (in_require = false, on_require = true, out_require = false)
@@ -192,7 +192,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/geom_relations/within.html b/previews/PR170/source/methods/geom_relations/within.html index 316df3ab2..67dd8dd53 100644 --- a/previews/PR170/source/methods/geom_relations/within.html +++ b/previews/PR170/source/methods/geom_relations/within.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ scatter!(GI.getpoint(l1), color = :blue) lines!(GI.getpoint(l2), color = :orange) scatter!(GI.getpoint(l2), color = :orange) -f

We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2

julia
GO.within(l1, l2)  # false
+f

We can see that all of the points and edges of l2 are within l1, so l2 is within l1, but l1 is not within l2

julia
GO.within(l1, l2)  # false
 GO.within(l2, l1)  # true
true

Implementation ​

This is the GeoInterface-compatible implementation.

First, we implement a wrapper method that dispatches to the correct implementation based on the geometry trait.

Each of these calls a method in the geom_geom_processors file. The methods in this file determine if the given geometries meet a set of criteria. For the within function and arguments g1 and g2, this criteria is as follows: - points of g1 are allowed to be in the interior of g2 (either through overlap or crossing for lines) - points of g1 are allowed to be on the boundary of g2 - points of g1 are not allowed to be in the exterior of g2 - at least one point of g1 is required to be in the interior of g2 - no points of g1 are required to be on the boundary of g2 - no points of g1 are required to be in the exterior of g2

The code for the specific implementations is in the geom_geom_processors file.

julia
const WITHIN_POINT_ALLOWS = (in_allow = true, on_allow = false, out_allow = false)
 const WITHIN_CURVE_ALLOWS = (over_allow = true, cross_allow = true, on_allow = true, out_allow = false)
 const WITHIN_POLYGON_ALLOWS = (in_allow = true, on_allow = true, out_allow = false)
@@ -211,7 +211,7 @@
     end
     return true
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/orientation.html b/previews/PR170/source/methods/orientation.html index 8583f363e..be4cb3119 100644 --- a/previews/PR170/source/methods/orientation.html +++ b/previews/PR170/source/methods/orientation.html @@ -8,10 +8,10 @@ - + - + @@ -118,7 +118,7 @@ _isparallel(bx - ax, by - ay, dx - cx, dy - cy) _isparallel(Δx1, Δy1, Δx2, Δy2) = (Δx1 * Δy2 == Δy1 * Δx2)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/methods/polygonize.html b/previews/PR170/source/methods/polygonize.html index c8f5248a5..ae0e33120 100644 --- a/previews/PR170/source/methods/polygonize.html +++ b/previews/PR170/source/methods/polygonize.html @@ -8,10 +8,10 @@ - + - + @@ -307,7 +307,7 @@ end return edges end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/not_implemented_yet.html b/previews/PR170/source/not_implemented_yet.html index c7d2971ac..c562d7e67 100644 --- a/previews/PR170/source/not_implemented_yet.html +++ b/previews/PR170/source/not_implemented_yet.html @@ -8,10 +8,10 @@ - + - + @@ -22,7 +22,7 @@ function buffer end function convexhull end function concavehull end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/primitives.html b/previews/PR170/source/primitives.html index 55e3a8fe4..f6596cd94 100644 --- a/previews/PR170/source/primitives.html +++ b/previews/PR170/source/primitives.html @@ -8,10 +8,10 @@ - + - + @@ -323,7 +323,7 @@ Base.@assume_effects :foldable function _mapreducetasks(f::F, op, taskrange, threaded::_False; init) where F mapreduce(f, op, taskrange; init) end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/correction/closed_ring.html b/previews/PR170/source/transformations/correction/closed_ring.html index 225d51869..9d8224454 100644 --- a/previews/PR170/source/transformations/correction/closed_ring.html +++ b/previews/PR170/source/transformations/correction/closed_ring.html @@ -8,10 +8,10 @@ - + - + @@ -48,7 +48,7 @@ else

Assemble the ring as a vector

julia
        tups = tuples.(GI.getpoint(ring))

Close the ring

julia
        push!(tups, tups[1])

Return an actual ring

julia
        return GI.LinearRing(tups)
     end
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/correction/geometry_correction.html b/previews/PR170/source/transformations/correction/geometry_correction.html index e11c1fd98..3aae2bdcd 100644 --- a/previews/PR170/source/transformations/correction/geometry_correction.html +++ b/previews/PR170/source/transformations/correction/geometry_correction.html @@ -8,10 +8,10 @@ - + - + @@ -49,7 +49,7 @@ end return final_geometry end

Available corrections ​

# GeometryOps.ClosedRing — Type.
julia
ClosedRing() <: GeometryCorrection

This correction ensures that a polygon's exterior and interior rings are closed.

It can be called on any geometry correction as usual.

See also GeometryCorrection.

source


# GeometryOps.DiffIntersectingPolygons — Type.
julia
DiffIntersectingPolygons() <: GeometryCorrection

This correction ensures that the polygons included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be made nonintersecting through the difference operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area. See also GeometryCorrection, UnionIntersectingPolygons.

source


# GeometryOps.GeometryCorrection — Type.
julia
abstract type GeometryCorrection

This abstract type represents a geometry correction.

Interface

Any GeometryCorrection must implement two functions: * application_level(::GeometryCorrection)::AbstractGeometryTrait: This function should return the GeoInterface trait that the correction is intended to be applied to, like PointTrait or LineStringTrait or PolygonTrait. * (::GeometryCorrection)(::AbstractGeometryTrait, geometry)::(some_geometry): This function should apply the correction to the given geometry, and return a new geometry.

source


# GeometryOps.UnionIntersectingPolygons — Type.
julia
UnionIntersectingPolygons() <: GeometryCorrection

This correction ensures that the polygon's included in a multipolygon aren't intersecting. If any polygon's are intersecting, they will be combined through the union operation to create a unique set of disjoint (other than potentially connections by a single point) polygons covering the same area.

See also GeometryCorrection.

source


This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/correction/intersecting_polygons.html b/previews/PR170/source/transformations/correction/intersecting_polygons.html index 0b7461e00..f9bd73cfb 100644 --- a/previews/PR170/source/transformations/correction/intersecting_polygons.html +++ b/previews/PR170/source/transformations/correction/intersecting_polygons.html @@ -8,10 +8,10 @@ - + - + @@ -115,7 +115,7 @@ end return diff_multipoly end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/extent.html b/previews/PR170/source/transformations/extent.html index 1c9af80ac..0cd3ab55d 100644 --- a/previews/PR170/source/transformations/extent.html +++ b/previews/PR170/source/transformations/extent.html @@ -8,10 +8,10 @@ - + - + @@ -31,7 +31,7 @@ """ embed_extent(x; threaded=false, crs=nothing) = apply(identity, GI.PointTrait(), x; calc_extent=true, threaded, crs)

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/flip.html b/previews/PR170/source/transformations/flip.html index 1cd6b35fe..1771c0f83 100644 --- a/previews/PR170/source/transformations/flip.html +++ b/previews/PR170/source/transformations/flip.html @@ -8,10 +8,10 @@ - + - + @@ -40,7 +40,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/reproject.html b/previews/PR170/source/transformations/reproject.html index 6b7a6be37..3b48556e1 100644 --- a/previews/PR170/source/transformations/reproject.html +++ b/previews/PR170/source/transformations/reproject.html @@ -8,10 +8,10 @@ - + - + @@ -59,7 +59,7 @@ nothing end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/segmentize.html b/previews/PR170/source/transformations/segmentize.html index 22ec9b26a..063b0eb9e 100644 --- a/previews/PR170/source/transformations/segmentize.html +++ b/previews/PR170/source/transformations/segmentize.html @@ -8,11 +8,11 @@ - + - - + + @@ -39,7 +39,7 @@ f, a, p = poly(collect(GI.getpoint(linear)); label = "Linear", axis = (; aspect = DataAspect())) p2 = poly!(collect(GI.getpoint(geodesic)); label = "Geodesic") axislegend(a; position = :lt) -f

There are two methods available for segmentizing geometries at the moment:

Missing docstring.

Missing docstring for LinearSegments. Check Documenter's build log for details.

Missing docstring.

Missing docstring for GeodesicSegments. Check Documenter's build log for details.

Benchmark ​

We benchmark our method against LibGEOS's GEOSDensify method, which is a similar method for densifying geometries.

julia
using BenchmarkTools: BenchmarkGroup
+f

There are two methods available for segmentizing geometries at the moment:

Missing docstring.

Missing docstring for LinearSegments. Check Documenter's build log for details.

Missing docstring.

Missing docstring for GeodesicSegments. Check Documenter's build log for details.

Benchmark ​

We benchmark our method against LibGEOS's GEOSDensify method, which is a similar method for densifying geometries.

julia
using BenchmarkTools: BenchmarkGroup
 using Chairmarks: @be
 using Main: plot_trials
 using CairoMakie
@@ -77,7 +77,7 @@
 
 end
 
-plot_trials(segmentize_suite)

julia
abstract type SegmentizeMethod end
+plot_trials(segmentize_suite)

julia
abstract type SegmentizeMethod end
 """
     LinearSegments(; max_distance::Real)
 
@@ -172,7 +172,7 @@
     end

End the line with the original coordinate, to avoid any multiplication errors.

julia
    push!(new_coords, (x2, y2))
     return nothing
 end

Note

The _fill_linear_kernel definition for GeodesicSegments is in the GeometryOpsProjExt extension module, in the segmentize.jl file.

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/simplify.html b/previews/PR170/source/transformations/simplify.html index fe54d0a83..330d5043e 100644 --- a/previews/PR170/source/transformations/simplify.html +++ b/previews/PR170/source/transformations/simplify.html @@ -8,11 +8,11 @@ - + - - + + @@ -29,7 +29,7 @@ f, a, p = poly(original; label = "Original") poly!(simple; label = "Simplified") axislegend(a) -f

Benchmark ​

We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
+f

Benchmark ​

We benchmark these methods against LibGEOS's simplify implementation, which uses the Douglas-Peucker algorithm.

julia
using BenchmarkTools, Chairmarks, GeoJSON, CairoMakie
 import GeometryOps as GO, LibGEOS as LG, GeoInterface as GI
 using CoordinateTransformations
 lg_and_go(geometry) = (GI.convert(LG, geometry), GO.tuples(geometry))
@@ -41,7 +41,7 @@
 usa_poly = GI.getgeom(usa_multipoly, findmax(GO.area.(GI.getgeom(usa_multipoly)))[2]) # isolate the poly with the most area
 usa_centroid = GO.centroid(usa_poly)
 usa_reflected = GO.transform(Translation(usa_centroid...) ∘ LinearMap(Makie.rotmatrix2d(π)) ∘ Translation((-).(usa_centroid)...), usa_poly)
-f, a, p = plot(usa_poly; label = "Original", axis = (; aspect = DataAspect()))#; plot!(usa_reflected; label = "Reflected")

This is the complex polygon we'll be benchmarking.

julia
simplify_suite = BenchmarkGroup(["Simplify"])
+f, a, p = plot(usa_poly; label = "Original", axis = (; aspect = DataAspect()))#; plot!(usa_reflected; label = "Reflected")

This is the complex polygon we'll be benchmarking.

julia
simplify_suite = BenchmarkGroup(["Simplify"])
 singlepoly_suite = BenchmarkGroup(["Polygon", "title:Polygon simplify", "subtitle:Random blob"])
 
 include(joinpath(dirname(dirname(pathof(GO))), "test", "data", "polygon_generation.jl"))
@@ -55,7 +55,7 @@
     singlepoly_suite["LibGEOS"][GI.npoint(geom)] = @be LG.simplify($geom_lg, 0.1) seconds=1
 end
 
-plot_trials(singlepoly_suite; legend_position=(1, 1, TopRight()), legend_valign = -2, legend_halign = 1.2, legend_orientation = :horizontal)

julia
multipoly_suite = BenchmarkGroup(["MultiPolygon", "title:Multipolygon simplify", "subtitle:USA multipolygon"])
+plot_trials(singlepoly_suite; legend_position=(1, 1, TopRight()), legend_valign = -2, legend_halign = 1.2, legend_orientation = :horizontal)

julia
multipoly_suite = BenchmarkGroup(["MultiPolygon", "title:Multipolygon simplify", "subtitle:USA multipolygon"])
 
 for frac in exp10.(LinRange(log10(0.3), log10(1), 6)) # TODO: this example isn't the best.  How can we get this better?
     geom = GO.simplify(usa_multipoly; ratio = frac)
@@ -74,7 +74,7 @@
     # GO-VW : $(GI.npoint( GO.simplify((GO.VisvalingamWhyatt(; tol = _tol)), geom_go)))
     println()
 end
-plot_trials(multipoly_suite)

julia
export simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance
+plot_trials(multipoly_suite)

julia
export simplify, VisvalingamWhyatt, DouglasPeucker, RadialDistance
 
 const _SIMPLIFY_TARGET = TraitTarget{Union{GI.PolygonTrait, GI.AbstractCurveTrait, GI.MultiPointTrait, GI.PointTrait}}()
 const MIN_POINTS = 3
@@ -507,7 +507,7 @@
     end
     return nothing
 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/transform.html b/previews/PR170/source/transformations/transform.html index a36a40e69..924110cd4 100644 --- a/previews/PR170/source/transformations/transform.html +++ b/previews/PR170/source/transformations/transform.html @@ -8,10 +8,10 @@ - + - + @@ -73,7 +73,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/transformations/tuples.html b/previews/PR170/source/transformations/tuples.html index 69ad70665..34692e50d 100644 --- a/previews/PR170/source/transformations/tuples.html +++ b/previews/PR170/source/transformations/tuples.html @@ -8,10 +8,10 @@ - + - + @@ -37,7 +37,7 @@ end end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/types.html b/previews/PR170/source/types.html index c9b8bb44e..10aa48459 100644 --- a/previews/PR170/source/types.html +++ b/previews/PR170/source/types.html @@ -8,10 +8,10 @@ - + - + @@ -85,7 +85,7 @@ error("$(f) requires a `$(kw)` keyword argument to the `GEOS` algorithm, which was not provided.") end end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/source/utils.html b/previews/PR170/source/utils.html index a4575a96d..2a6776ea0 100644 --- a/previews/PR170/source/utils.html +++ b/previews/PR170/source/utils.html @@ -8,10 +8,10 @@ - + - + @@ -138,7 +138,7 @@ (x1, x2), (y1, y2) = extent.X, extent.Y return x1 ≤ GI.x(p) ≤ x2 && y1 ≤ GI.y(p) ≤ y2 end

This page was generated using Literate.jl.

- + \ No newline at end of file diff --git a/previews/PR170/tutorials/creating_geometry.html b/previews/PR170/tutorials/creating_geometry.html index f5e8f11ad..7cfa5dc08 100644 --- a/previews/PR170/tutorials/creating_geometry.html +++ b/previews/PR170/tutorials/creating_geometry.html @@ -8,11 +8,11 @@ - + - - + + @@ -28,37 +28,37 @@ import Proj # Plotting using CairoMakie -using GeoMakie

Creating and plotting geometries ​

Let's start by making a single Point.

julia
point = GI.Point(0, 0)
GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)

Now, let's plot our point.

julia
fig, ax, plt = plot(point)

Let's create a set of points, and have a bit more fun with plotting.

julia
x = [-5, 0, 5, 0];
+using GeoMakie

Creating and plotting geometries ​

Let's start by making a single Point.

julia
point = GI.Point(0, 0)
GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((0, 0), nothing)

Now, let's plot our point.

julia
fig, ax, plt = plot(point)

Let's create a set of points, and have a bit more fun with plotting.

julia
x = [-5, 0, 5, 0];
 y = [0, -5, 0, 5];
 points = GI.Point.(zip(x,y));
 plot!(ax, points; marker = '✈', markersize = 30)
-fig

Points can be combined into a single MultiPoint geometry.

julia
x = [-5, -5, 5, 5];
+fig

Points can be combined into a single MultiPoint geometry.

julia
x = [-5, -5, 5, 5];
 y = [-5, 5, 5, -5];
 multipoint = GI.MultiPoint(GI.Point.(zip(x, y)));
 plot!(ax, multipoint; marker = '☁', markersize = 30)
-fig

Let's create a LineString connecting two points.

julia
p1 = GI.Point.(-5, 0);
+fig

Let's create a LineString connecting two points.

julia
p1 = GI.Point.(-5, 0);
 p2 = GI.Point.(5, 0);
 line = GI.LineString([p1,p2])
 plot!(ax, line; color = :red)
-fig

Now, let's create a line connecting multiple points (i.e. a LineString). This time we get a bit more fancy with point creation.

julia
r = 2;
+fig

Now, let's create a line connecting multiple points (i.e. a LineString). This time we get a bit more fancy with point creation.

julia
r = 2;
 k = 10;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
 y = r .* (k + 1) .* sin.(ϴ) .- r .* sin.((k + 1) .* ϴ);
 lines = GI.LineString(GI.Point.(zip(x,y)));
 plot!(ax, lines; linewidth = 5)
-fig

We can also create a single LinearRing trait, the building block of a polygon. A LinearRing is simply a LineString with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.

A LinearRing is composed of a series of points.

julia
ring1 = GI.LinearRing(GI.getpoint(lines));
GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)

Now, let's make the LinearRing into a Polygon.

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)

Now, we can use GeometryOps and CoordinateTransformations to shift polygon1 up, to avoid plotting over our earlier results. This is done through the GeometryOps.transform function.

julia
xoffset = 0.;
+fig

We can also create a single LinearRing trait, the building block of a polygon. A LinearRing is simply a LineString with the same beginning and endpoint, i.e., an arbitrary closed shape composed of point pairs.

A LinearRing is composed of a series of points.

julia
ring1 = GI.LinearRing(GI.getpoint(lines));
GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)

Now, let's make the LinearRing into a Polygon.

julia
polygon1 = GI.Polygon([ring1]);
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing)], nothing, nothing)

Now, we can use GeometryOps and CoordinateTransformations to shift polygon1 up, to avoid plotting over our earlier results. This is done through the GeometryOps.transform function.

julia
xoffset = 0.;
 yoffset = 50.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 polygon1 = GO.transform(f, polygon1);
 plot!(polygon1)
-fig

Polygons can contain "holes". The first LinearRing in a polygon is the exterior, and all subsequent LinearRings are treated as holes in the leading LinearRing.

GeoInterface offers the GI.getexterior(poly) and GI.gethole(poly) methods to get the exterior ring and an iterable of holes, respectively.

julia
hole = GI.LinearRing(GI.getpoint(multipoint))
+fig

Polygons can contain "holes". The first LinearRing in a polygon is the exterior, and all subsequent LinearRings are treated as holes in the leading LinearRing.

GeoInterface offers the GI.getexterior(poly) and GI.gethole(poly) methods to get the exterior ring and an iterable of holes, respectively.

julia
hole = GI.LinearRing(GI.getpoint(multipoint))
 polygon2 = GI.Polygon([ring1, hole])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, T, Nothing, Nothing} where T[GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.0, 0.0), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.010987813253244, 0.0004397316773170068), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.043805248003498, 0.0035114210915891397), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.098016055420953, 0.011814947665167774), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.172899020101585, 0.027886421973952302), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.267456684570245, 0.05416726609360478), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.380427415579764, 0.09297443860091348), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.51030066635026, 0.1464721641710074), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.655335250260467, 0.21664550952386064), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.813580405100698, 0.30527612515520186), nothing)  …  GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.866418416586406, -0.3376428491230612), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.704405820024185, -0.24279488312757858), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.55494217175954, -0.16692537029320365), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.420040147662014, -0.10832215707812454), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.30151010318639, -0.0650624499034016), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.200938172182195, -0.03503632062070827), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.119667078681967, -0.01597247419241532), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.058779893613323, -0.005465967083412071), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.019086932781654, -0.0010075412835199304), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Float64, Float64}, Nothing}((20.001115954499138, -1.4219350464667047e-5), nothing)], nothing, nothing), GeoInterface.Wrappers.LinearRing{false, false, Vector{GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}[GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, -5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((-5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, 5), nothing), GeoInterface.Wrappers.Point{false, false, Tuple{Int64, Int64}, Nothing}((5, -5), nothing)], nothing, nothing)], nothing, nothing)

Shift polygon2 to the right, to avoid plotting over our earlier results.

julia
xoffset = 50.;
 yoffset = 0.;
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 polygon2 = GO.transform(f, polygon2);
 plot!(polygon2)
-fig

Polygons can also be grouped together as a MultiPolygon.

julia
r = 5;
+fig

Polygons can also be grouped together as a MultiPolygon.

julia
r = 5;
 x = cos.(reverse(ϴ)) .* r .+ xoffset;
 y = sin.(reverse(ϴ)) .* r .+ yoffset;
 ring2 =  GI.LinearRing(GI.Point.(zip(x,y)));
@@ -68,7 +68,7 @@
 f = CoordinateTransformations.Translation(xoffset, yoffset);
 multipolygon = GO.transform(f, multipolygon);
 plot!(multipolygon)
-fig

Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].

Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​

In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.

Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.

julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))

Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.

julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"

Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.

julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/DxLbe/assets/ne_110m_land.geojson"

Note

Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

julia
land_geo = GeoJSON.read(land_path)
FeatureCollection with 127 Features

We then need to create a figure with a GeoAxis that can handle the projection between source and destinaton CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.

julia
fig = Figure(size=(1000, 500));
+fig

Great, now we can make Points, MultiPoints, Lines, LineStrings, Polygons (with holes), and MultiPolygons and modify them using [CoordinateTransformations] and [GeometryOps].

Plot geometries on a map using GeoMakie and coordinate reference system (CRS) ​

In geospatial sciences we often have data in one Coordinate Reference System (CRS) (source) and would like to display it in different (destination) CRS. GeoMakie allows us to do this by automatically projecting from source to destination CRS.

Here, our source CRS is common geographic (i.e. coordinates of latitude and longitude), WGS84.

julia
source_crs1 = GFT.EPSG(4326)
GeoFormatTypes.EPSG{1}((4326,))

Now let's pick a destination CRS for displaying our map. Here we'll pick natearth2.

julia
destination_crs = "+proj=natearth2"
"+proj=natearth2"

Let's add land area for context. First, download and open the Natural Earth global land polygons at 110 m resolution.GeoMakie ships with this particular dataset, so we will access it from there.

julia
land_path = GeoMakie.assetpath("ne_110m_land.geojson")
"/home/runner/.julia/packages/GeoMakie/DxLbe/assets/ne_110m_land.geojson"

Note

Natural Earth has lots of other datasets, and there is a Julia package that provides an interface to it called NaturalEarth.jl.

Read the land MultiPolygons as a GeoJSON.FeatureCollection.

julia
land_geo = GeoJSON.read(land_path)
FeatureCollection with 127 Features

We then need to create a figure with a GeoAxis that can handle the projection between source and destinaton CRS. For GeoMakie, source is the CRS of the input and dest is the CRS you want to visualize in.

julia
fig = Figure(size=(1000, 500));
 ga = GeoAxis(
     fig[1, 1];
     source = source_crs1,
@@ -76,8 +76,8 @@
     xticklabelsvisible = false,
     yticklabelsvisible = false,
 );

Plot land for context.

julia
poly!(ga, land_geo, color=:black)
-fig

Now let's plot a Polygon like before, but this time with a CRS that differs from our source data

julia
plot!(multipolygon; color = :green)
-fig

But what if we want to plot geometries with a different source CRS on the same figure?

To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.

julia
source_crs2 = GFT.EPSG(32610)
GeoFormatTypes.EPSG{1}((32610,))

Create a polygon (we're working in meters now, not latitude and longitude)

julia
r = 1000000;
+fig

Now let's plot a Polygon like before, but this time with a CRS that differs from our source data

julia
plot!(multipolygon; color = :green)
+fig

But what if we want to plot geometries with a different source CRS on the same figure?

To show how to do this let's create a geometry with coordinates in UTM (Universal Transverse Mercator) zone 10N EPSG:32610.

julia
source_crs2 = GFT.EPSG(32610)
GeoFormatTypes.EPSG{1}((32610,))

Create a polygon (we're working in meters now, not latitude and longitude)

julia
r = 1000000;
 ϴ = 0:0.01:2pi;
 x = r .* cos.(ϴ).^3 .+ 500000;
 y = r .* sin.(ϴ) .^ 3 .+5000000;
629-element Vector{Float64}:
@@ -87,7 +87,7 @@
  ⋮
  5.0e6
  5.0e6

Now create a LinearRing from Points

julia
ring3 = GI.LinearRing(Point.(zip(x, y)))
GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)

Now create a Polygon from the LineRing

julia
polygon3 = GI.Polygon([ring3])
GeoInterface.Wrappers.Polygon{false, false, Vector{GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}}, Nothing, Nothing}(GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}[GeoInterface.Wrappers.LinearRing{false, false, Vector{Point{2, Float64}}, Nothing, Nothing}(Point{2, Float64}[[1.5e6, 5.0e6], [1.4998500087497458e6, 5.000000999950001e6], [1.4994001399837343e6, 5.000007998400139e6], [1.4986507085647392e6, 5.000026987852369e6], [1.4976022389592e6, 5.000063948817746e6], [1.4962554647802354e6, 5.000124843834609e6], [1.4946113281484335e6, 5.000215611503127e6], [1.4926709788709967e6, 5.000342160541625e6], [1.4904357734399722e6, 5.000510363870095e6], [1.4879072738504685e6, 5.0007260527263e6]  …  [1.4870405593989636e6, 4.999194331880103e6], [1.4896621210021754e6, 4.999426363321033e6], [1.491990928929295e6, 4.999609061508909e6], [1.4940253560034204e6, 4.999748243174828e6], [1.4957639801366436e6, 4.999849768598615e6], [1.497205585568957e6, 4.999919535736425e6], [1.4983491639274692e6, 4.999963474314044e6], [1.4991939151049731e6, 4.999987539891298e6], [1.4997392479570867e6, 4.999997707902938e6], [1.499984780817334e6, 4.999999967681458e6]], nothing, nothing)], nothing, nothing)

Now plot on the existing GeoAxis.

Note

The keyword argument source is used to specify the source CRS of that particular plot, when plotting on an existing GeoAxis.

julia
plot!(ga,polygon3; color=:red, source = source_crs2)
-fig

Create geospatial geometries with embedded coordinate reference system information ​

Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.

Let's do this for a new Polygon

julia
r = 3;
+fig

Create geospatial geometries with embedded coordinate reference system information ​

Great, we can make geometries and plot them on a map... now let's export the data to common geospatial data formats. To do this we now need to create geometries with embedded CRS information, making it a geospatial geometry. All that's needed is to include ; crs = crs as a keyword argument when constructing the geometry.

Let's do this for a new Polygon

julia
r = 3;
 k = 7;
 ϴ = 0:0.01:2pi;
 x = r .* (k + 1) .* cos.(ϴ) .- r .* cos.((k + 1) .* ϴ);
@@ -107,7 +107,7 @@
 GeoParquet.write(fn, df, (:geometry,))
"shapes.parquet"

Finally, if there's no Julia-native package that can write data to your desired format (e.g. .gpkg, .gml, etc), you can use GeoDataFrames. This package uses the GDAL library under the hood which supports writing to nearly all geospatial formats.

julia
import GeoDataFrames
 fn = "shapes.gpkg"
 GeoDataFrames.write(fn, df)
"shapes.gpkg"

And there we go, you can now create mapped geometries from scratch, manipulate them, plot them on a map, and save them in multiple geospatial data formats.

- + \ No newline at end of file diff --git a/previews/PR170/tutorials/spatial_joins.html b/previews/PR170/tutorials/spatial_joins.html index 8370bb130..65d5bd2f6 100644 --- a/previews/PR170/tutorials/spatial_joins.html +++ b/previews/PR170/tutorials/spatial_joins.html @@ -8,11 +8,11 @@ - + - - + + @@ -28,14 +28,14 @@ pl = GI.Polygon([GI.LinearRing([(0, 0), (1, 0), (1, 1), (0, 0)])]) pu = GI.Polygon([GI.LinearRing([(0, 0), (0, 1), (1, 1), (0, 0)])]) poly_df = DataFrame(geometry = [pl, pu], color = [:red, :blue]) -f, a, p = poly(poly_df.geometry; color = tuple.(poly_df.color, 0.3))

Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!

Now, we generate the points.

julia
points = tuple.(rand(1000), rand(1000))
+f, a, p = poly(poly_df.geometry; color = tuple.(poly_df.color, 0.3))

Here, the upper polygon is blue, and the lower polygon is red. Keep this in mind!

Now, we generate the points.

julia
points = tuple.(rand(1000), rand(1000))
 points_df = DataFrame(geometry = points)
 scatter!(points_df.geometry)
-f

You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?

We have to join the two dataframes based on which polygon (if any) each point lies within.

Now, we can perform the "spatial join" using FlexiJoins. We are performing an outer join here

julia
@time joined_df = FlexiJoins.innerjoin(
+f

You can see that they are evenly distributed around the box. But how do we know which points are in which polygons?

We have to join the two dataframes based on which polygon (if any) each point lies within.

Now, we can perform the "spatial join" using FlexiJoins. We are performing an outer join here

julia
@time joined_df = FlexiJoins.innerjoin(
     (points_df, poly_df),
     by_pred(:geometry, GO.within, :geometry)
 )
julia
scatter!(a, joined_df.geometry; color = joined_df.color)
-f

Here, you can see that the colors were assigned appropriately to the scattered points!

Real-world example ​

Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.

julia
import GeoInterface as GI, GeometryOps as GO
+f

Here, you can see that the colors were assigned appropriately to the scattered points!

Real-world example ​

Suppose I have a list of polygons representing administrative regions (or mining sites, or what have you), and I have a list of polygons for each country. I want to find the country each region is in.

julia
import GeoInterface as GI, GeometryOps as GO
 using FlexiJoins, DataFrames, GADM # GADM gives us country and sublevel geometry
 
 using CairoMakie, GeoInterfaceMakie
@@ -60,7 +60,7 @@
     ::FlexiJoins.ByPred{typeof(my_predicate_function)}, 
     datas
 ) = true

This will enable FlexiJoins to support your custom function, when it's passed to by_pred(:geometry, my_predicate_function, :geometry).

- + \ No newline at end of file