Open Access
2012 Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme
Xiangjun Zhao, Xiaoyang Liu, Mei Lu
Abstr. Appl. Anal. 2012(SI10): 1-23 (2012). DOI: 10.1155/2012/264137


This paper is concerned with the regular dynamic loop-like subdivision scheme based on the extension of Box-Spline method. The purpose of the addressed problem is to prove the convergence of the subdivision scheme and verify the C0 and C1 continuity by calculating the eigenvalues of the 2-neighbor subdivision matrix. Compared with the loop subdivision scheme in previous references, the designed scheme can generate exact revolving surfaces and hold a stronger modeling capability because the subdivision matrix can update regularly with the iteration procedure. Finally, some examples are given to illustrate the effectiveness of the proposed method.


Download Citation

Xiangjun Zhao. Xiaoyang Liu. Mei Lu. "Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme." Abstr. Appl. Anal. 2012 (SI10) 1 - 23, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1259.65033
MathSciNet: MR3004898
Digital Object Identifier: 10.1155/2012/264137

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI10 • 2012
Back to Top