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Hi there!
I'd like to point you to my b-spline library vspline. Currently, it supports canonic b-splines only, but I've just opened up the evaluation code to use non-b-spline basis functions, so it may work for other types of splines as well. It's very comprehensive, and on top of the 'standard' b-spline code (prefiltering, point evaluation) it provides code for processing large raster data sets with multithreading and SIMD. Have a look! It may be the 'well-documented and FOSS implementation' you say you're missing.
With regards
Kay F. Jahnke
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