曲率分析方法在曲面求交中的应用

APPLICATION OF CURVATURE ANALYSIS IN SURFACE INTERSECTION

在曲面求交的跟踪过程中，主要存在两个问题，即确定跟踪方向和计算跟踪步长．本文给出用曲率分析精确计算跟踪方向，并估计跟踪步长的方法。用曲率分析法能够处理相切这种奇异情况。本文最后给出三个实例验证。

There exist two difficult problems in the tracing algorithm of surface intersection.Thefirst is the calculation of tracing direction,and the second is the estimation of tracing steplength.This paper exploits using curvature analysis to accurately calculate the tracing direc-tion and to estimate the tracing step length,and indicates the relation between normal curva-ture and tracing direction. The algorithms can handle the singular cases. At the end of the pa-per three samples are given.