摘要
基于弹性均匀细梁的应力能和扰动能的光顺优化,提出了一种光顺C-B样条曲线的算法。该算法的基本思想是:通过调整控制参数和控制顶点使得曲线的能量最小,得到最优的光顺逼近曲线。通过最小二乘法和非线性泛函的极小值优化计算,对平面数据点进行光顺逼近,达到了光顺的目的。最后,给出了由数据拟合的C-B样条曲线光顺的实例。实例结果表明,该算法为C-B样条曲线的光顺问题提供了一种有效的新方法。
Based on the fairing requirements of the strain energy and jerk energy of a thin elastic beam,a method of fairing C-B spline curves is given.The mean idea is：Fairing of C-B spline curves is fulfilled by adjusting the value of parameterand control points to reduce the implied energy.By using the technique of least square approximation and non-linear functional minimization,the data points of plane can be faired approximately.Finally,examples of C-B spline curve fairing show the efficiency of the method.The numerical example shows that this algorithm provides an effect and new method for the fairing of C-B spline curves.
出处
《计算机工程与应用》
CSCD
北大核心
2009年第35期205-207,共3页
Computer Engineering and Applications
基金
国家自然科学基金No.90510017
50679073
陕西省教育厅基金项目(No.08JK399)~~
关键词
光顺
逼近
C-B样条曲线
最小二乘法
极小泛函
fairing
approximation
C-B spline curves
least-squares solution
minimizing function
