GENERALIZED SUBDIVISION OF BE'ZIER SURFACES AND ITS APPLICATIONS

Bezier surfaces are one of the most commonly used parametric surface in Computer Aided Geometric Design(CAGD). By introducing some operator symbols and symbolical representations of Bezier surfaces, and using reparametrization, subdivision methods for rectangular Bezier surfaces are generalized to subdivide a rectangular Bezier surface along a polynomial curve of degree k(k1)) lying within its domain rectangle. Two explicit generalized subdivision schemes are presented. This paper also introduces applications of generalized subdivision in geometric continuity joining of Bezier surfaces and representation of trimmed surfaces.