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Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme

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  • Xiangjun Zhao
  • Xiaoyang Liu
  • Mei Lu

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.

Suggested Citation

  • Xiangjun Zhao & Xiaoyang Liu & Mei Lu, 2012. "Convergence Analysis of Regular Dynamic Loop-Like Subdivision Scheme," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-23, December.
    • Handle: RePEc:hin:jnlaaa:264137
    DOI: 10.1155/2012/264137
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