有理三次Ball参数曲线G^2光滑拼接条件  

G^2 Continuity Conditions for Assembling of Two Cubic Rational Ball Parameter Curves

作　　者：彭爱清[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《佳木斯大学学报（自然科学版）》2011年第2期280-281,284,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：在CAGD中,曲线、曲面的设计是计算机辅助几何设计的重要课题.本文根据有理Ball参数曲线理论给出了两条有理三次Ball参数曲线间G2光滑拼接充要条件,并对其进行证明.The design of curves and curved surface is important in CAGD.In this paper,the construction of cubic rational ball parameter curves was introduced first.Then the necessary and sufficient condition of G2 continuity for blending between two cubic rational Ball parameter curves were given and proved according to the theory of rational Ball parameter curves.

关 键 词：有理Ball参数曲线 曲率连续 G2光滑 充要条件 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]