摘要
本文针对曲面造型中,“由参数样条曲面上点的笛卡尔坐标,反求其对应参数”的反解问题,提出了一种通过曲面快速分割来逼近最终解的快速、简单、可靠的反解算法;并以B样条参数曲面为例,介绍了算法的实现过程。
A fast subdivision algorithm for finding the (u,w) parameters of a giren point P(x,y,z) on spline surface is proposed. It uses two planes α and β,parallel to xoz and yoz coordinale planes respectively, to cut the bounding edges of the surface patch recursively until the frimmed central subpatch converges to the given point P. This approoch is simple, reliable and efficient.
出处
《工程图学学报》
CSCD
1997年第2期59-63,共5页
Journal of Engineering Graphics