Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme | Zendy

Xiangjun Zhao | Zendy; Xiao-Yang Liu | Zendy; Mei Lu | Zendy

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Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme

Author(s) -

Xiangjun Zhao,

Xiao-Yang Liu,

Mei Lu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/264137

Subject(s) - mathematics , subdivision , convergence (economics) , scheme (mathematics) , loop (graph theory) , mathematical analysis , combinatorics , archaeology , economics , history , economic growth

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

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