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平面向量场与曲率分析在曲面求交中的应用
引用本文:宁涛,马德昌,王亚平,唐荣锡.平面向量场与曲率分析在曲面求交中的应用[J].计算机学报,1997(12).
作者姓名:宁涛  马德昌  王亚平  唐荣锡
作者单位:北京航空航天大学制造工程系
摘    要:在曲面求交算法中,初始跟踪点的确定和交线分支的跟踪是最关键的两个问题.本文总结了用平面向量场确定初始跟踪点的算法,给出了使用曲率分析精确计算跟踪方向,并估计跟踪步长的方法.应用平面向量场和曲率分析,作者实现了高效可靠的NURBS曲面求交算法.

关 键 词:曲面求交,平面向量场,跟踪方向,跟踪步长

APPLICATION OF PLANE VECTOR FIELD AND CURVATURE ANALYSIS IN SURFACE INTERSECTION
NING Tao, MA Dechang, WANG Yaping, TANG Rongxi.APPLICATION OF PLANE VECTOR FIELD AND CURVATURE ANALYSIS IN SURFACE INTERSECTION[J].Chinese Journal of Computers,1997(12).
Authors:NING Tao  MA Dechang  WANG Yaping  TANG Rongxi
Abstract:The techniques for obtaining initial tracing points and tracing intersection branches are the most important issues in surface intersection algorithm. This paper reviews the plane vector field method which is exploited to get initial tracing points,and gives the relation between normal curvature and tracing direction. Based on the plane vector field method and curvature analysis, a robust algorithm of surface intersection is implemented.
Keywords:Surface intersection  plane vector field  tracing direction  tracing step    
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