Bezier.jl

a minimal implementation of nth-degree-Bezier curves in julia

Implementation

This module generates Bezier curves of arbitrary degree (in theory). The nth-Degree bezier curve is generated with Bernstein-Polynomials. Since julia has a efficient binomial function, this generation, The maximum number of control points is 67. For larger numbers, a buffer overflow occurs in the binomial function.

The degree of the Bezier curve is inferred from the number of control points.

The idea was taken from "A Primer on Bézier Curves".

Examples

Return two lists with the x and y values for the quadratic bezier curve that spans from (0,0) to (1,1) with the controll point (0,1);

  bezier([0,1,0],[0,1,1])

Return a cubic bezier curve with an added controll point at (0,1):

  bezier([0,0,0,1],[0,1,1,1])

Plotting

The number of coordinates is 100 by default, but can be modified with the range keyword.

  using Plots, Bezier

  plot(bezier([0,0.5,1],[0,1.8,0]))
  plot!(bezier([0,0,1,1],[0,1,-1,0.5]))
  plot!(bezier([0,0,1,1],[0,1,-1,0.5], 0:0.2:1))

  using Plots, Bezier

  m = [4 7 5 4 6 5 3; 3 4 -2 4 5 6 0]
  plot(bezier(m))
  scatter!(m[1,:],m[2,:])