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参数曲面与平面求交的一种新方法
引用本文:张和明,柯映林.参数曲面与平面求交的一种新方法[J].工程图学学报,1995(2):31-37.
作者姓名:张和明  柯映林
作者单位:浙江大学
摘    要:本文提出了一种新的参数曲面与平面求交算法,基于平面的半空间性质,通过参数域平面的二向线性插值,将求交问题转化为一系列简单的离散、判断、比较、排序等运算,能较好的解决曲面片内的交线不连续和交线丢失问题,算法简便,可靠性好,计算精度高,在NC自动编程中具有广泛的应用场合。

关 键 词:参数曲面  平面  计算机图形学  CAD  CAM

A new method for finding the intersection of parametric surface and plane
Zhang Heming,Ke YingLin,Chen Yaodong.A new method for finding the intersection of parametric surface and plane[J].Journal of Engineering Graphics,1995(2):31-37.
Authors:Zhang Heming  Ke YingLin  Chen Yaodong
Affiliation:Zhejiang University
Abstract:A new algorithm for calculating the intersection curves between a parametric surface anda plane is presented in this paper, Based on the half-space properties of the outhors studiedthe intersection problem with two directional linear interpolation within parametric domain,by which some simple processes,such as scattering,judgement,comparison and sorting,areapplied. This algorithm can efficiently solve the uncontinuity and loss of intersection curves.the Results show that algorithm is reliable,precise and applicable in automatic NC program-ming.
Keywords:half-space properties  two directional linear interpolation  parametric sur-face plane  
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