Scattered data interpolation with multilevel B-splines
Lee, S.; Wolberg, G.; Shin, S.Y.
Visualization and Computer Graphics, IEEE Transactions on
Volume 3, Issue 3, Jul-Sep 1997 Page(s):228 - 244
Digital Object Identifier   10.1109/2945.620490
Summary:The paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to compute a C² continuous surface through a set of irregularly spaced points. The algorithm makes use of a coarse to fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function. Experimental results demonstrate that high fidelity reconstruction is possible from a selected set of sparse and irregular samples

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