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
收藏
页码：607 / +
页数：2
相关论文
共 12 条
  • [1] ASAHI T, 2003, IMAGE SIGNAL PROCESS, V1, P208
  • [2] COX MG, 1972, J I MATHS APPL
  • [3] DEBOOR C, 1972, J APPOX THEORY
  • [4] JAFARI A, 2005, ENG MED BIOL SOC, P1634
  • [5] MARGOLIS E, 2004, ACOUSTICS SPEECH SIG, V2, P577
  • [6] Pan Ri-Jing, 2001, Chinese Journal of Computers, V24, P358
  • [7] QIN KH, 1998, COMPUTER GRAPHICS AP, V10, P37
  • [8] Matern B-splines and the optimal reconstruction of signals
    Ramani, S
    Unser, M
    [J]. IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (07) : 437 - 440
  • [9] SHI FZ, 2001, COMPUT AIDED GEOM D, P227
  • [10] ZHANG AH, 2002, J NANJING U POSTS TE
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