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TW 472
Hendrik Speleers, Paul Dierckx, and Stefan Vandewalle
Quasi-hierarchical Powell-Sabin B-splines
Abstract
Hierarchical Powell-Sabin splines are C1-continuous piecewise quadratic polynomials defined on a hierarchical triangulation. The mesh is obtained by partitioning an initial conforming triangulation locally with a triadic split, so that it is no longer conforming. We propose a normalized quasi-hierarchical basis for this spline space. The B-spline basis functions have a local support, they form a convex partition of unity, they are stable, and they admit local subdivision. We consider two applications: data fitting and surface modelling.
report.pdf (1.2M) revised December 2006 / mailto: H. Speleers