摘要
Ｂéｚｉｅｒ曲面是计算机辅助几何设计（ＣＡＧＤ）中最常用的参数曲面之一，通过引进一些符号和Ｂéｚｉｅｒ曲面的算子表示，并利用参数化技巧，本文推广了张量积Ｂéｚｉｅｒ曲面的离散算法，讨论了Ｂéｚｉｅｒ矩形片沿定义域内一条ｋ次多项式曲线的离散，给出了两种显式的广义离散格式．另外，文中还介绍了广义离散方法在Ｂéｚｉｅｒ曲面几何连续拼接和ｔｒｉｍｍｅｄ曲面参数表示中的应用．
Bézier 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 Bézier surfaces, and using reparametrization, subdivision methods for rectangular Bézier surfaces are generalized to subdivide a rectangular Bézier surface along a polynomial curve of degree k(k1)) 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 Bézier surfaces and representation of trimmed surfaces.
出处
《计算机学报》
EI
CSCD
北大核心
1999年第3期290-295,共6页
Chinese Journal of Computers
基金
国家自然科学基金
