One Fairing Method of Cubic B-spline Curves Based on Weighted Progressive Iterative Approximation  

作　　者：ZHANG Li YANG Yan LI Yuan-yuan TAN Jieqing 

机构地区：[1]College of Mathematics,Hefei University of Technology [2]College of Computer and Information,Hefei University of Technology

出　　处：《Computer Aided Drafting,Design and Manufacturing》2014年第1期36-41,共6页计算机辅助绘图设计与制造（英文版）

基　　金：Supported by National Natural Science Foundation of China(No.U1135003 and No.61100126);Ph.D.Programs Foundation of Ministry of Education of China for Young Scholars(No.20100111120023,No.20110111120026);Anhui Provincial Natural Science Foundation(No.11040606Q42)

摘　　要：A new method to the problem of fairing planar cubic B-spline curves is introduced in this paper. The method is based on weighted progressive iterative approximation （WPIA for short） and consists of following steps： finding the bad point which needs to fair, deleting the bad point, re-inserting a new data point to keep the structm-e of the curve and applying WPIA method with the new set of the data points to obtain the faired curve. The new set of the data points is formed by the rest of the original data points and the new inserted point. The method can be used for shape design and data processing. Numerical examples are provided to demonstrate the effectiveness of the method.A new method to the problem of fairing planar cubic B-spline curves is introduced in this paper. The method is based on weighted progressive iterative approximation （WPIA for short） and consists of following steps： finding the bad point which needs to fair, deleting the bad point, re-inserting a new data point to keep the structm-e of the curve and applying WPIA method with the new set of the data points to obtain the faired curve. The new set of the data points is formed by the rest of the original data points and the new inserted point. The method can be used for shape design and data processing. Numerical examples are provided to demonstrate the effectiveness of the method.

关 键 词：B-spline curves FAIRING WPIA 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O177.91[自动化与计算机技术—计算机科学与技术]