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三次均匀有理B样条曲线的权因子优化光顺算法
引用本文:李安平 蒋大为. 三次均匀有理B样条曲线的权因子优化光顺算法[J]. 计算机辅助设计与图形学学报, 1997, 9(6): 562-567
作者姓名:李安平 蒋大为
作者单位:[1]空军导弹学院 [2]西北工业大学
摘    要:给出了一种使三次均匀有理B样条曲线光顺的权因子优化算法,通过优化计算,得到了光顺曲线的权因子。本文采用了非线性优化技术光顺曲线的权因子。

关 键 词:有理B样曲线 权因子 光顺 算法 CAD CAM

WEIGHTS OPTIMIZATION FOR FAIRING CUBIC UNIFORM RATIONAL B SPLINE CURVES
Li Anping. WEIGHTS OPTIMIZATION FOR FAIRING CUBIC UNIFORM RATIONAL B SPLINE CURVES[J]. Journal of Computer-Aided Design & Computer Graphics, 1997, 9(6): 562-567
Authors:Li Anping
Abstract:This paper introduces a weights optimization method which makes uniform rational B spline curves fairness. The trapezoid integration is used to approximatly calculate the second derivative norm and the third derivative norm and the weights of fairing curves are obtained through calculation of optimization. Nonlinear optimization techniques are used in this paper.
Keywords:rational B spline   weights   fairness.  
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