摘要
对有理C-Bézier曲线进行了形状分析,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,并讨论了权因子变化对曲线形状图的影响.
In this paper the authors analyze the shape features like singularities, inflection points and local or global convexity of rational C-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. The authors also discuss the influences of weight coefficients on the shape diagram of this curve.
出处
《计算机学报》
EI
CSCD
北大核心
2007年第11期2055-2059,共5页
Chinese Journal of Computers
基金
陕西省自然科学基金(2004A12)
陕西省教育厅专项科研项目(05JK289)资助.~~
关键词
有理C-Bezier曲线
奇点
拐点
局部凸
全局凸
rational C-Bezier curve
singular points
inflection points
local convexity
global convexity
