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Family of -Ary Univariate Subdivision Schemes Generated by Laurent Polynomial

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  • Muhammad Asghar
  • Ghulam Mustafa

Abstract

The generalized symbols of the family of -ary univariate stationary and nonstationary parametric subdivision schemes have been presented. These schemes are the new version of Lane-Riesenfeld algorithms. Comparison shows that our proposed family has higher continuity and generation degree comparative to the existing subdivision schemes. It is observed that many existing binary and ternary schemes are the special cases of our schemes. The analysis of proposed family of subdivision schemes is also presented in this paper.

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  • Muhammad Asghar & Ghulam Mustafa, 2018. "Family of -Ary Univariate Subdivision Schemes Generated by Laurent Polynomial," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-11, May.
    • Handle: RePEc:hin:jnlmpe:7824279
    DOI: 10.1155/2018/7824279
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