三次HC-Bézier曲线的分割算法和拼接条件  

Subdivision Algorithm and Connection Condition for Cabic HC-Bézier Curves

作　　者：唐桂林[1] 陈明武[1] 李转运[1] 

机构地区：[1]安徽邮电职业技术学院计算机系,安徽合肥230031

出　　处：《北华大学学报（自然科学版）》2013年第4期399-402,共4页Journal of Beihua University（Natural Science）

摘　　要：为了精确表示一类超越曲线以及拓展曲线曲面,通过引入形状参数,在双曲函数空间中构造了一类广义Bézier曲线,称其为HC-Bézier曲线,在对三次HC-Bézier基函数及曲线端点特性分析的基础上,提出了三次HC-Bézier曲线的任意分割算法,同时提出了三次HC-Bézier曲线的拼接条件,有效地增强了曲线表达复杂曲线的能力.To accurately represent some transcendental curves, aiming at extending the representation of curves and surfaces. A family of generalized Bézier curves in the space of hyperbolic functions with a shape parameter was presented, these curves are called as HC-Bézier curves. This paper presents the subdivision algorithm and connection condition of cubic HC-Bézier curves based on the analysis of HC-Bézier basis functions and terminal properties. The results are useful for the shape modification and representation of HC-Bézier curves.

关 键 词：HC—Bézier曲线 BÉZIER曲线 分割 

分 类 号：O24[理学—计算数学]