与给定多边形相切的C^1连续广义Ball闭曲线  

C^1 Continuous Closed Generalized Ball 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）》2002年第1期71-74,共4页Journal of Beijing Institute of Fashion Technology：Natural Science Edition

摘　　要：讨论了与给定多边形相切的分段三次广义Ｂａｌｌ闭曲线,所构造的曲线是Ｃ１连续,且对给定的多边形是保形的．曲线上的所有广义Ｂａｌｌ曲线段的控制点由给定的多边形的顶点直接产生．最后给出了一个算例．This paper proposes an approach of constructing planar piecewise closed generalized Ball curve of 3th degree with all edges tangent to a given control polygon and the curve segments are joined together with C2 and C3 continuity. The segmented generalized Ball curve is shape-preserving to its tangent polygon. Finally, one numerical example is given.

关 键 词：C^1连续 广义BALL曲线 多边形 保形曲线 算法 

分 类 号：O241.3[理学—计算数学]