带有给定切线多边形的C^2连续的C-B样条曲线  

C^2 Continuous C-B-spline Curves with Given Tangent Polygons

作　　者：王成伟[1] 

机构地区：[1]北京服装学院基础课部,北京100029

出　　处：《计算机辅助设计与图形学学报》2001年第12期1133-1136,共4页Journal of Computer-Aided Design & Computer Graphics

摘　　要：描述了一种与给定切线多边形相切的 C- B样条曲线的算法 .在算法中 ,所有的 C- B样条曲线的控制点可以通过对切线多边形的顶点简单计算产生 .所构造的曲线对切线多边形具有保形性 ,曲线可以局部修改 .最后给出了三个算例 .In this paper, an algorithm for constructing C-B-spline curve which is tangent to the given polygon is described. The control points of the C-B-spline to be constructed are computed simply by the vertices of the given tangent polygon. The constructed curves are shape-preserving to the tangent polygons. The local modification to the C-B-spline curve can be completed by simply adjusting the corresponding control parameters. Three examples are included.

关 键 词：CAGD 切线多边形 C-B样条曲线 计算机辅助设计 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]