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How can I interpolate different dimension array on a common grid?

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Hi everybody,
I find myself with spatialized data coming from different sources that I'd like to compare by interpolating them on a common grid, but I still don't understand how.
I have two sets of data of Longitude, Latitude, Altitude and a scalar value: in the first set all of these variables are vectors (1 row * n columns), while in the second set they are n-dimensional matrixes (for Longitude I have a matrix of m rows * n column * p layers having a longitude value for each [m,n,p] point in this "cube", the same goes for Latitude, ...).
I would like to use the minima and maxima of values of Longitude, Latitude and Altitude to create a common 3D grid on which to interpolate the scalar values.
Is that possible?

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