Numerical algorithms implemented in Julia

Algorithms

Currently implemented:

• Fitting a straight line in 2 dimensions using the method of least squares
• Fitting a plane in 3 dimensions using the method of least squares
• Savitzky-Golay filter for 2 dimensional values
• Approximation of parametric curves using differential equation solvers
  • Chase (Chase.jl): An object is constantly moving in the direction of another object with a constant speed value.
  • Pull (Pull.jl): An object is being pulled or pushed by another moving object through a solid, inflexible beam with $d$ length that is attached to the pulled/pushed object in question.
• Bézier-curves:
  • Custom generation with optional noise
  • Visualization
  • Degree elevation
  • Curve splitting
• Bezier-surfaces
  • Custom generation with optional noise
  • Visualization

TODO:

• Prey-Predator model
• Perpendicular and parallel plane/line fitting
• Implement Bezier-splines, and interactive Bezier-spline manipulation
• Implement NURBS

Gallery

Chase.jl: "Dog chasing runner"

Bézier-curves

Bézier-curve in 2D space

Bézier-curve in 3D space

Parametric surface defined through Bézier-curves