关键词: 三向四次箱样条曲面, Bé, zier曲面, 光滑拼接

Abstract: Using bivariate quartic polynomial’s Blossom over triangular and rectangular domains, when a 3-direction quartic box spline surface is given, in order to make triangular or rectangular Bézier surface  to be [C0、][C1、][C2]connected with it , one kind of explicit sufficient condition of the Bézier surface’s control points which should be subjected is discussed. When geometric modeling with 3-direction quartic box spline surface or Loop subdivision surface, this conclusion is valuable for making Bézier surface to be smooth connected with the modeling surface or to fill holes.

Key words: 3-direction quartic box spline surface, Bézier surface, smooth connection