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Scattered data interpolation with multilevel B-splines

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3 Author(s)
Seungyong Lee ; Dept. of Comput. Sci., Pohang Inst. of Sci. & Technol., South Korea ; Wolberg, G. ; Sung Yong Shin

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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Visualization and Computer Graphics, IEEE Transactions on  (Volume:3 ,  Issue: 3 )