计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (35): 205-207.DOI: 10.3778/j.issn.1002-8331.2009.35.062

• 图形、图像、模式识别 • 上一篇    下一篇

C-B样条曲线的光顺逼近算法研究

杨雅迪,秦新强,胡 钢,党发宁,刘 飞   

  1. 西安理工大学 理学院,西安 710054
  • 收稿日期:2008-07-10 修回日期:2008-10-13 出版日期:2009-12-11 发布日期:2009-12-11
  • 通讯作者: 杨雅迪

Research on fairing and approximation algorithm of C-B spline curves

YANG Ya-di,QIN Xin-qiang,HU Gang,DANG Fa-ning,LIU Fei   

  1. School of Science,Xi’an University of Technology,Xi’an 710054,China
  • Received:2008-07-10 Revised:2008-10-13 Online:2009-12-11 Published:2009-12-11
  • Contact: YANG Ya-di

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。

Abstract: 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.

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