SURFACE COMPRESSION WITH HIERARCHICAL POWELL–SABIN B-SPLINES

Author:

MAES JAN1,BULTHEEL ADHEMAR1

Affiliation:

1. Department of Computer Science, K. U. Leuven, Celestijnenlaan 200A, B-3001 Heverlee, Belgium

Abstract

We show how to construct a stable hierarchical basis for piecewise quadratic C1 continuous splines defined on Powell–Sabin triangulations. We prove that this hierarchical basis is well suited for compressing surfaces. Our compression method does not require the construction of wavelets which are usually expensive to compute, but instead we use a stable quasi-interpolation scheme that achieves optimal approximation order. Numerical experiments demonstrate the high compression rate of the algorithm.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

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