Generalized Subdivision of Bézier Surfaces

Abstract

In this paper, subdivision methods for rectangular Bézier surfaces are generalized to subdivide a rectangular Bézier surface patch of degreen×minto two rectangular Bézier surface patches of degreen× (m+n), while the parameter domain of the Bézier surface is decomposed into two trapezoids. As an application, a conversion from rectangular Bézier surfaces to triangular Bézier surfaces is presented.