C-曲线定义区间的扩展  

Extension of Definition Interval for C-Curves

作　　者：林上华[1] 汪国昭[1] 

机构地区：[1]浙江大学数学系计算机图象图形研究所,杭州310027

出　　处：《计算机辅助设计与图形学学报》2005年第10期2281-2285,共5页Journal of Computer-Aided Design & Computer Graphics

基　　金：国家自然科学基金(10371110);国家重点基础研究发展规划项目(2002CB12101)

摘　　要：基于对C-曲线基函数高阶导数的分析,将C-Bézier曲线参数α的取值区间从[0,π]拓展到[0,2π],将均匀C-B样条曲线参数α的取值范围逐阶扩大,并论证了基的正性.所得结果将提高C-曲线的造型能力.By analyzing the properties of higher degree derivatives of C-curve basis, we extend a from [0,π] to [0,2π] in C-Bézier curves, and show α can be larger while elevating the order of C-B-spline curves. Moreover, the positivity of C-Bézier basis and C-B-spline basis is also discussed. The results obtained can enhance the modeling power of C-curves.

关 键 词：C-BÉZIER曲线 C-B样条曲线 C-Bézier基 C-B样条基 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]