带有切线多边形的三次B样条的α扩展曲线  

α extension of the cubic B-spline curve with given tangent polygon

作　　者：王成伟[1] 

机构地区：[1]北京服装学院基础教学部,北京100029

出　　处：《纺织高校基础科学学报》2011年第4期542-545,567,共5页Basic Sciences Journal of Textile Universities

基　　金：北京市教育委员会科技发展计划面上项目(KM201010012010)

摘　　要：为了使三次均匀B样条的α扩展曲线与给定多边形相切,构造了一种与给定多边形相切的三次均匀B样条曲线的α扩展的算法.在算法中,所有的三次均匀B样条的α扩展曲线的控制点可以通过对多边形的顶点简单计算产生.所构造的曲线对多边形具有保形性,曲线可以局部修改.最后给出了2个算例.In order to α expansion of the cubic uniform B-spline curve tangent to the given polygon,in this paper,an algorithm for constructing α extension of the cubic uniform B-spine curve which is tangent to the given polygon is described.The control points of α extension of the cubic uniform B-spine curve to be constructed are computed simply by the vertices of the given polygon.The constructed curve is shape-preserving to the polygon.The local modification to α extension of the cubic uniform B-spine curve can be completed by simply adjusting the corresponding control parameters.Two examples are included.

关 键 词：CAGD 样条曲线 多边形 形状参数 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] O241.3[自动化与计算机技术—计算机科学与技术]