三次有理Bézier曲线与HC-Bézier曲线的拼接  

Research on Smooth Connections Between Cubic Rational Bézier Curves and HC-Bézier Curves

作　　者：张丹丹[1] 吴欢欢[1] 

机构地区：[1]安徽广播电视大学安庆分校,安徽安庆246001

出　　处：《成都大学学报（自然科学版）》2016年第1期41-43,共3页Journal of Chengdu University（Natural Science Edition）

摘　　要：讨论了三次有理Bézier曲线与带一个形状参数的HC-Bézier曲线的光滑拼接问题,并给出了三次有理Bézier曲线与HC-Bézier曲线的G^0、G^1和G^2光滑拼接的几何条件.Research has been done on Bézier curves and surfaces with shape parameters and the smooth connections between them in computer aided geometric design（ CAGD）. This paper studies the technique of smooth connections between cubic rational Bézier curves and cubic HC-Bézier curves with a shape parameter and finally puts forward the geometrical conditions for the smooth connections between the cubic rational Bézier curves and cubic HC-Bézier.

关 键 词：有理BÉZIER曲线 HC-Bézier曲线 形状参数 拼接条件 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]