DUAL FUNCTIONALS OF SAID-BZIER TYPE GENERALIZED BALL BASES OVER TRIANGLE DOMAIN AND THEIR APPLICATION

摘要

. A family of Said-Bézier type generalized Ball(SBGB) bases and surfaces with a parameter H over triangular domain is introduced,which unifies Bézier surface and Said-Ball surface and includes several intermediate surfaces.To convert different bases and surfaces,the dual functionals of bases are presented.As an application of dual functionals,the subdivision formulas for surfaces are established.