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The Family of Multiparameter Quaternary Subdivision Schemes

Author

Listed:
  • Ghulam Mustafa
  • Muhammad Asghar
  • Shafqat Ali
  • Arzoo Qamar
  • Jia-Bao Liu
  • Efthymios G. Tsionas

Abstract

In the field of subdivision, the smoothness increases as the arity of schemes increases. The family of high arity schemes gives high smoothness comparative to low arity schemes. In this paper, we propose a simple and generalized formula for a family of multiparameter quaternary subdivision schemes. The conditions for convergence of subdivision schemes are also presented. Moreover, we derive subdivision schemes after substituting the different values of parameters. We also analyzed the important properties of the proposed family of subdivision schemes. After comparison with existing schemes, we analyze that the proposed family of subdivision schemes gives better smoothness and approximation compared with the existing subdivision schemes.

Suggested Citation

  • Ghulam Mustafa & Muhammad Asghar & Shafqat Ali & Arzoo Qamar & Jia-Bao Liu & Efthymios G. Tsionas, 2021. "The Family of Multiparameter Quaternary Subdivision Schemes," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, December.
    • Handle: RePEc:hin:jjmath:4732464
    DOI: 10.1155/2021/4732464
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