BasicInterpolators.jl

Interpolation methods with a simple interface

contributions welcome

Documentation	Status

Use Julia's package manager to install

julia> ]add BasicInterpolators

Interpolation Methods

One Dimension

• [x] linear
• [x] piecewise cubic
• [x] cubic spline (natural or clamped)
• [x] Chebyshev
• [x] arbitrary order polynomials (Neville's method)
• [x] polynomial coefficients (efficient Vandermonde solver)
• [x] end-point cubic Hermite

Two Dimensions, Regular Grid

• [x] linear
• [x] piecewise cubic
• [x] Chebyshev

N-Dimensions, Scattered Points

• [x] radial basis functions (any choice of function)
• [x] Shepard

Basic Usage

See the tutorial for more complete examples.

using BasicInterpolators, ForwardDiff

#some data to interpolate
x = [-1, 0.5, 2, 3]
y = [1, 3, -0.5, 0]

#a linear interpolation struct
p = LinearInterpolator(x, y)

#interpolate at one point
p(2.5)

#interpolate at lots of points
p.(LinRange(-1, 3, 100))

#compute the derivative dy/dx
ForwardDiff.derivative(p, 1.0)

#make an interpolator that doesn't check boundaries (allows extrapolation)
p = LinearInterpolator(x, y, NoBoundaries())

Other packages

Some notable packages with other/advanced methods:

1. Interpolations.jl
2. Dierckx.jl
3. GridInterpolations.jl
4. ApproXD.jl
5. FastChebInterp.jl
6. ApproxFun.jl

For a longer list, look here.