The deduction of coefficient matrix for cubic non-uniform B-Spline curves
Files
(Published version)
Date
2009
Authors
Yang, H.
He, Y.
Huang, H.
Yue, W.L.
Xia, H.
Editors
Hu, H.
Zhengbing, Z.
Zhengbing, Z.
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Conference paper
Citation
Proceedings of the first international workshop on education technology and computer science, 2009 / Hu, H., Zhengbing, Z. (ed./s), vol.2, pp.607-609
Statement of Responsibility
Conference Name
First International Workshop on Education Technology and Computer Science (ETCS 2009) (7 Mar 2009 - 8 Mar 2009 : Wuhan, Hubei, China)
Abstract
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. 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.
School/Discipline
Dissertation Note
Provenance
Description
Access Status
Rights
Copyright 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.