MBA - Multilevel B-Spline Approximation Library

Multiresolution methods based on B-spline refinement for approximating scattered data. The methods are extremely fast compared to many other methods and produce fair results. Given scattered data as input, tensor product B-spline surfaces are produced. The algorithms run in a multiresolutional setting over uniform partitions such that the final surface is composed of a sequence of surfaces at dyadic scales:

f = f_{0} + f_{1} + ... + f_{h,}

where f_{i} is a subset of S_{i} for i = 0, ..., h, and S_{0}, ..., S_{h} is a nested sequence of subspaces of S_{h}.

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Published November 16, 2009

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