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3

Looks like a potential application for blue noise also known as Poisson disk sampling, which is random placement of samples but with a guaranteed minimum distance between sample locations. I think that would give more accurate transform results than independently located random samples. Various spherical harmonic transform algorithms with specific sampling ...


3

I'm a little confused about what you are asking and how it relates to the set of spherical basis functions. Those are the same one that electron orbitals are based on, right? I have never understood them to be constrained to the surface of a sphere. Then again, that is not my usual stomping grounds. Nevertheless, I think I can generalize your question ...


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