摘要
借鉴offset曲线去除自相交的方法提出了一种去除sweep曲面自相交的方法.首先根据sweep曲面上的点到脊线的距离来判断是否产生自相交;然后确定自相交候选区间集,并去除自相交点集.该方法可以推广到一般曲面与sweep曲面的求交,也可以推广到sweep曲面的offset操作中.在北京大学自主开发的几何造型系统PUM2.0中,通过大量的实例验证了该方法的稳定性和有效性.
The trimming of sweep surfaces, referring to the estimation of points ostensibly on the boundaries that actually lie in the sweep surface interior, is an important problem for geometric modeling. Inspired by the trimming techniques developed for offset surface, efficient methods for both local and global trimming of sweep surfaces are proposed in this paper. The methods can also be used to compute the intersection between a freeform surface and a general sweep surface, or between offset of sweep surfaces. The efficiency and advantages are verified by examples obtained by geometric modeling software PUM 2.0 developed by Peking University.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2007年第7期817-821,共5页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"九七三"重点基础研究发展规划项目(2004CB719403)
国家自然科学基金(60573151
60473100)
国家"八六三"高技术研究发展计划(2006AA01Z334)
中国近海海洋综合调查与评价专项(908-03-01-10)
