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一种选点法和能量法相结合的曲线光顺方法
引用本文:穆国旺,宋秀琴,臧婷.一种选点法和能量法相结合的曲线光顺方法[J].工程图学学报,2005,26(6):118-121.
作者姓名:穆国旺  宋秀琴  臧婷
作者单位:1. 河北工业大学理学院,天津,300130
2. 内蒙古科技大学计算中心,包头,014010
摘    要:将选点修改法和能量法相结合,提出了一种新的曲线光顺方法。和传统的选点修改法以及能量法的区别是:选点修改法每次只修改一个坏点,能量法一次性地修改所有控制顶点,而本文的方法则是用能量法一次性地修改所有对坏点有影响的控制顶点。数值实例表明,这是一种有效的曲线光顺方法。

关 键 词:计算机辅助几何设计  曲线光顺  能量法  B样条
文章编号:1003-0158(2005)06-0118-04
收稿时间:2004-10-27
修稿时间:2004年10月27

A Curve Fairing Method Mixing Bad Points Selection with Energy Minimization
MU Guo-wang,SONG Xiu-qing,ZANG Ting.A Curve Fairing Method Mixing Bad Points Selection with Energy Minimization[J].Journal of Engineering Graphics,2005,26(6):118-121.
Authors:MU Guo-wang  SONG Xiu-qing  ZANG Ting
Affiliation:1. School of Science, Hebei University of Technology, Tianjin 300130, China; 2. Computing Center, Inner Mongolia University of Science and Technology, Baotou 014010, China
Abstract:A new fairing method for B-spline curves is presented. Our new approach differs trom me traditional way of selecting and modifying bad points in that we modify all the control vertices of a B-spline curve which have influence to the bad points through energy minimization. There is a difference between our approach and the traditional energy method that we only modified those vertices which affect the bad points rather than all control vertices. Numerical experiments show that this is a very practical fairing approach for curves.
Keywords:CAGD  curve fairing  energy minimization method  B-spline
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