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TW 345
E. Vanraes, J. Windmolders, A. Bultheel, P. Dierckx
Subdivision for Powell-Sabin Spline Surfaces
Abstract
In this paper we present an algorithm for calculating the B--spline representation of a Powell--Sabin spline surface on a refinement of the given triangulation. The resulting subdivision scheme is a triadic scheme; every original edge is split into three new edges. The presented rules are derived using the fact that triadic subdivision can be seen as two steps of $\sqrt 3$--subdivision. The scheme is numerically stable and generally applicable, there are no restrictions on the initial triangulation.
report.pdf / mailto: E. Vanraes