The deduction of coefficient matrix for cubic non-uniform B-Spline curves

被引：3

作者：

Yang, Huixian ^{[1
,2
]}

Yue, WenLong ^{[3
]}

He, Yabin ^{[2
]}

Huang, Huixian ^{[2
]}

Xia, Haixia ^{[1
]}

机构：

[1] Qiongzhou Univ, Wuzhishan, Hainan Province, Peoples R China

[2] Xiangtan Univ, Xiangtan, Peoples R China

[3] Univ South Australia, Transport Syst Ctr, Adelaide, SA, Australia

来源：

PROCEEDINGS OF THE FIRST INTERNATIONAL WORKSHOP ON EDUCATION TECHNOLOGY AND COMPUTER SCIENCE, VOL II | 2009年

基金：

海南省自然科学基金;

关键词：

coefficient matrix; B-Spline; deduction;

D O I：

10.1109/ETCS.2009.396

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The cubic B-Spline curves have many engineering applications, such as graphic matching, materials cutting and layout arrangement. The existing mathematical representations, usually defined as polynomial function, its coefficient matrix of non-uniform B-Spline curves are complicated, difficult to understand, and require sophisticated algorithm in programming implementation. This paper aims at presenting a procedure based on the de Boor-Cox recursion formula, the coefficient matrixes of non-uniform B-Spline curves could be deducted. The application of this approach has been successfully used in shoe manufacturing process for material cutting control system.

引用

页码：607 / +

页数：2