摘要
本文对平面三次H-Bézier曲线的形状进行分析,讨论其诸如奇点、拐点、局部凸和全局凸的几何特征,得出曲线上含有奇点、拐点和曲线为局部凸或全局凸的用控制多边形边向量相对位置表示的充分必要条件.
In this paper the author analyze the shape features like singularities, inflection points and local or global convexity of planar cubic H-Bezier curve, then give the necessary and sufficient conditions for this curve having one or two inflection points, or a loop, or a cusp, or being local or global convex in terms of the relative position of its control polygons＇ side vectors.
出处
《应用数学学报》
CSCD
北大核心
2007年第5期816-821,共6页
Acta Mathematicae Applicatae Sinica
基金
陕西省自然科学基金(2004A12
2007A21)
西安邮电学院科技项目(105-0419)的资助.
关键词
H-Bézier曲线
奇点
拐点
局部凸
全局凸
H-Bezier curve
singular global convexity points
inflection points
local convexity
