Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme

Xiangjun Zhao, Xiaoyang Liu and Mei Lu

Abstract and Applied Analysis, 2012, vol. 2012, 1-23

Abstract:

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 and 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:264137

DOI: 10.1155/2012/264137

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