I want to do 2D interpolation on an irregular grid. In particular, I have a function f:\mathbb R^2 \rightarrow \mathbb R, (x, y) \mapsto z. I have an irregular grid D = (x_i, y_i)_i as well as the corresponding values F = (f_i)_i. I would like to interpolate D, F to obtain f. I have tried Dierckx,…

Have you tried Interpolations.jl. This is a link to the irregular grid interpolation feature: https://juliamath.github.io/Interpolations.jl/latest/control/#Gridded-interpolation In any case, giving more info about the irregular grid (how big, dense, regular it is? How many dimensions?) would help…

It sounds like the OP needs scattered interpolation of some kind so perhaps ScatteredInterpolation.jl will work. https://eljungsk.github.io/ScatteredInterpolation.jl/dev/ The idea is that you’re going to use some kind of radial basis function convolved with the points that you have sampled to inte…

You can also try GitHub - gher-uliege/DIVAnd.jl: DIVAnd performs an n-dimensional variational analysis of arbitrarily located observations , which allows smoother interpolation from scattered points, where multiple data at the same position can be dealt with.

Another suggestion is the pure Julia version of the Clough-Tocher 2d interpolation that I ported from scipy: [image] GitHub - fatteneder/CloughTocher2DInterpolation.jl: Shameless and direct... Shameless and direct clone of scipy's CloughTocher2DInterpolator for Julia - GitHub - fattenede…

[image] rafael.guerra: One more suggestion: try GMT.jl’s splines in tension and see a simple example here . And if one wants the choice of the full pack of GMT + GDAL interpolation methods see gridit

Another native Julia option: [image] GitHub - JuliaEarth/GeoStats.jl: An extensible framework for geospatial data... An extensible framework for geospatial data science and geostatistical modeling fully written in Julia - GitHub - JuliaEarth/GeoStats.jl: An extensible framework for geos…

I am currently using the “NaturalNeighbours” package in Julia to do the interpolation, and I have also used “Kriging”, but both are extremely slow. Just curious: What was slow for NaturalNeighbours.jl? Are you computing it in batches? What method are you using? It should be very performant, so I’…

2D Interpolation on an irregular grid

General Usage Performance

rafael.guerra October 20, 2023, 8:38pm 5

One more suggestion: try GMT.jl’s splines in tension and see a simple example here.

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2D Interpolation on an irregular grid

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