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Family of a-point b-ary subdivision schemes with bell-shaped mask

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  • Hameed, Rabia
  • Mustafa, Ghulam

Abstract

In this paper, we present a generalized Refine-Smooth algorithm to design a family of a-point b-ary approximating subdivision schemes with bell-shaped mask, where a ≥ 3 and b ≥ 2. We use the combination of corner cutting b-ary subdivision scheme and weighted average of (b+1)-points to construct the proposed family. We demonstrate that the proposed family has smaller complexity and support width and higher continuity than the existing Refine-Smooth subdivision schemes. We also study the shape preserving properties of the proposed family. In addition, it is observed that the proposed family is suitable for fitting the locally noisy, oscillatory, and irregular data.

Suggested Citation

  • Hameed, Rabia & Mustafa, Ghulam, 2017. "Family of a-point b-ary subdivision schemes with bell-shaped mask," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 289-302.
    • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:289-302
    DOI: 10.1016/j.amc.2017.04.013
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    References listed on IDEAS

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    1. Tan, Jieqing & Tong, Guangyue & Zhang, Li & Xie, Jin, 2015. "Four point interpolatory-corner cutting subdivision," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 819-825.
    2. Pitolli, Francesca, 2014. "Ternary shape-preserving subdivision schemes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 185-194.
    3. Si, X. & Baccou, J. & Liandrat, J., 2016. "On four-point penalized Lagrange subdivision schemes," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 278-299.
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    Cited by:

    1. Abdul Ghaffar & Mehwish Bari & Zafar Ullah & Mudassar Iqbal & Kottakkaran Sooppy Nisar & Dumitru Baleanu, 2019. "A New Class of 2 q -Point Nonstationary Subdivision Schemes and Their Applications," Mathematics, MDPI, vol. 7(7), pages 1-21, July.
    2. Mustafa, Ghulam & Hameed, Rabia, 2019. "Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 214-240.

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