thomastanck/bezier.jl

Interpolation for arbitrary order Bézier curves in julia

Bezier

Interpolation for arbitrary order Bézier curves in julia

Linear interpolation between two points with bezier(t, P1, P2)

• P1 coordinate for one point
• P2 coordinate for second point
• 0 ≤ t ≤ 1 defines how close to P1 vs P2 to interpolate

julia> using Bezier

julia> bezier(0.25, [1. 2], [3. 4]) # This is a quarter of the way between [1 2] and [3 4]
1x2 Array{Float64,2}:
 1.5  2.5

julia> bezier(0.5, [1. 2], [3. 4]) # This finds the midpoint between [1 2] and [3 4]
1x2 Array{Float64,2}:
 2.0  3.0

julia> bezier(0.8, [1. 2], [3 4]) # This is 80% of the way from [1 2] to [3 4]
1x2 Array{Float64,2}:
 2.6  3.6

Interpolate between an Array of points using bezier(t, ::Array{Array{FloatingPoint,1},1}

julia> bezier(0.5, Vector{FloatingPoint}[[0., 0], [10, 10], [20, 0]]) # quadratic interpolation
1-element Array{Array{FloatingPoint,1},1}:
 FloatingPoint[10.0,5.0]

Or as a matrix (where each row represents a point) using bezier(t, ::Array{FloatingPoint,2}

julia> bezier(0.5, [0. 0; 5 5; 10 0; 15 5]) # cubic interpolation as a matrix
1x2 Array{Float64,2}:
 7.5  2.5