Interpolation on curvilinear grid

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How could someone interpolate spatial data on a curvilinear grid, like the one in the picture shown?

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In Matlab, you can use scatter interpolation. However, once I asked ChatGPT to write a code for me, but it was using some functions from the libraries come with "Numerical recipe" book. You can also use griddata in Matlab, but I think, scatter interpolation is faster for repetitive interpolation. If you are interested in Python, take a look at this (N-D curver or N-D scatter).