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双三次参数曲面求交的一种新方法

A New Method for Fast Finding the Intersection of wo Bicubic Parametric Surfaces

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【作者】 崔汉国伍晓宇胡瑞安杨叔子

【Author】 Cui Hanguoof School of Mech.Sci.and Engin.,H.U.S.T.,Wuban 430074,China. ;Wu Xiaoyu ;Hu Ruian ;Yang Shuzi

【机构】 华中理工大学机械科学与工程学院

【摘要】 针对工程上广泛应用的双三次Bezier,B样条曲面,提出一种新的曲面求交方法.这种方法基于曲面控制网格的“子”分方法,只要控制网格足够逼近曲面,便可用控制网格的小平面代替曲面本身,从而快速求出两张双三次参数曲面的交线.

【Abstract】 A new method for fast finding the intersection of two bicubic parametric sulfaces in theform of Bezier and B-spline is proposed.It is an improvement on three existing ones.Thismethod is based on the“subdivision”of control polygons of the surfaces. If two control poly-gons are sufficiently approximate to the surfaces,the latter can be replaced by the tinyplanes of the control polygons and the curve of intersection can be quickly found by a seriesof intersections of triangles and lines defined in a particular way.This method is stable andof good convergence rate and high efficiency.It has been successfully used in the investiga-tion on VISC for a 3-D computer electromagnetic radiation field and some other investiga-tions.

【关键词】 自由曲面求交计算机辅助几何设计
【Key words】 free surfaceintersectbn findingCAGD
【基金】 国防科工委八五军事预研项目资助.
  • 【文献出处】 华中理工大学学报 ,JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1994年07期
  • 【分类号】TP391.7
  • 【被引频次】5
  • 【下载频次】98
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