带有给定切线多边形的三次Bézier闭曲线  

Closed Bézier Curve With Given Tangent Polygon

作　　者：王成伟[1] 姚云[1] 

机构地区：[1]北京服装学院基础课部,北京100029

出　　处：《北京服装学院学报（自然科学版）》2001年第1期79-82,共4页Journal of Beijing Institute of Fashion Technology：Natural Science Edition

摘　　要：讨论与给定切线多边形相切的分段三次Ｂéｚｉｅｒ曲线，所构造的曲线是Ｃ～１连续的，且对切线多边形是保形的；所有三次Ｂéｚｉｅｒ曲线段的控制点由切线多边形的顶点直接计算产生．最后以实例表明，本文的方法是有效的．Propose an approach of constructing planar piecewise Bezier curve with all edges tangent to a given control polygon and the curve segments are joined together with C^1 continuity. The segmented Bézier curves all shape preserving to their tangent polygon. The all control points of the Bézier curve segments can be calculated simply by the vertices of the given tangent polygon. Finally a few numerical examples illustrate that the method given in this paper is effective.

关 键 词：计算机辅助几何设计 BEZIER曲线 切线多边形 保形曲线 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构] O241.3[自动化与计算机技术—计算机科学与技术]