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.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
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)
