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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
【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.
- 【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