Trilinear interpolation in Julia?

General Usage
1

I need a package for graphics applications. Which package contains spatial mappings such as trilinear interpolation?

2

Seems like Dierckx.jl has 2D splines for unstructured points, if that suits your needs.

1 Like
3

Are you asking for ternary plots?

1 Like
4

I need 3d trilinear interpolation for spatial data.

5

We don’t have trilinear interpolation specifically, but it should be quite straightforward to write such solver in the GeoStats.jl ecosystem, which already supports 3D unstructured grids: Built-in · GeoStats.jl

The unstructured grids are coming from the Meshes.jl package, which is another package I am actively working on: https://github.com/JuliaGeometry/Meshes.jl

We’ve designed these interpolation methods in GeoStats.jl in a way that they work with any Hilbert space. This means that you can interpolate any Julia type with well-defined scalar product, vector addition and inner product.

2 Likes
6

For trilinear interpolation, I think you can use Interpolations.jl:

using Interpolations
f(x,y,z) = 2x + 3y + 5z
x = y = z = -10:5.0:10
v = [f(x,y,z) for x in x, y in y, z in z]
itp = interpolate((x,y,z),v, Gridded(Linear()))
itp(1.,1.,1.) ≈ f(1.,1.,1.)     # true  (= 10.0)

See also interesting github discussion here.

1 Like