与给定切线多边形相切的扩展的四次Bézier闭曲线  

An extension of the close quartic Bézier curves 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》2010年第1期59-61,71,共4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：描述了一种与给定多边形相切的四次Bézier闭曲线的算法.在算法中,所有的扩展的四次Bézier闭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,最后给出了一个算例.An algorithm for constructing an extension of the close quartic Bezier curves which are tangent to the given polygon is described. The control points of an extension of the close quartic Bezier curves to be constructed are computed easily by the vertices of the given polygon. The constructed curves are shape-preserving to the polygon. The local modification to the extension of the close quartic Bezier curves can be completed by simply adjusting the corresponding control parameters. One example is given.

关 键 词：CAGD BÉZIER曲线 切线多边形 

分 类 号：O241.3[理学—计算数学] TP391[理学—数学]