摘要
利用三角Ｂèｚｉｅｒ曲面片的保凸性和可分割性，解决了初始交点计算、迭代收敛等问题；通过求近曲面点、边界点跨越等过程，由一个初始交点出发跟踪计算跨越许多曲面片的整条交线；将各交点作为型值点插入曲面中，对三角网格进行局域三角化，以交线为界限进行分离，重新生成两张复合曲面，实现了裁剪的目的；基于次边界环和重新分布边界点的计算，改善了狭长三角形对整张曲面的性态影响．测试显示，上述方法简单可靠。
The initial intersection point between surfaces is found by using the convexity property and subdivision method of triangular Bèzier patches, then it is refined by iteration. The whole intersection line is traced out from the initial point and cuts the original surface into two parts. Local area along the trimming border is retriangulated to improve the mesh quality. Tests show that this method is simple, robust and suitable for CAD modeling in reverse engineering.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2000年第1期65-69,共5页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"八六三"高技术资助!(863-511-922-018)
关键词
BEZIER曲面
求交
裁剪
CAD
工程设计
composite triangular Bèzier surface, triangular Bèzier patch, intersection, trimming
