摘要
在几何造型系统中，复杂形体往往由Ｔｒｉｍｍｅｄ曲面拼合而成，因此Ｔｒｉｍｍｅｄ曲面的表示与处理在计算机辅助设计中非常重要．本文应用Ｂéｚｉｅｒ曲面的广义离散算法，研究了ｔｒｉｍｍｅｄＢéｚｉｅｒ曲面的表示问题．分别利用约束优化方法和图形学中的扫描线思想，给出了ｔｒｉｍｍｉｎｇ线的Ｂéｚｉｅｒ函数逼近和ｔｒｉｍｍｅｄ曲面参数域的分解算法．通过分解参数域，将ｔｒｉｍｍｅｄ曲面表示为多张完整的Ｂéｚｉｅｒ矩形片．
Since most complex objects are generated by some sort of trimming process in geometric modeling system, the representation and processing of trimmed surfaces are very important in CAD.This paper investigates representations of trimmed Bézier surfaces by using generalized subdivision of rectangular Bézier surfaces. Applying constrained optimization methods and idea of scan line of computer graphics respectively,methods for approximating trimming curves by Bézier functions and algorithms for decomposing parameter domain of trimmed surfaces are developed. A trimmed Bézier is represented as a union of some integral Bézier surfaces by decomposing its domain.
出处
《计算机学报》
EI
CSCD
北大核心
1999年第3期296-301,共6页
Chinese Journal of Computers
基金
国家自然科学基金
