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A non-stationary binary three-point approximating subdivision scheme

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  • Tan, Jieqing
  • Sun, Jiaze
  • Tong, Guangyue

Abstract

In this paper we present a non-stationary binary three-point approximating subdivision scheme which can generate a wide variety of C3-continuous limit curves with different initial control parameter α0. The continuity of the scheme is proved by using the conclusion in Dyn and Levin, (1995) [5]. The advantage of the scheme is illustrated by a number of examples.

Suggested Citation

  • Tan, Jieqing & Sun, Jiaze & Tong, Guangyue, 2016. "A non-stationary binary three-point approximating subdivision scheme," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 37-43.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:37-43
    DOI: 10.1016/j.amc.2015.12.002
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    References listed on IDEAS

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    1. Siddiqi, Shahid S. & Salam, Wardat us & Rehan, Kashif, 2015. "Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 120-129.
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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. Baoxing Zhang & Hongchan Zheng, 2021. "A Variant Cubic Exponential B-Spline Scheme with Shape Control," Mathematics, MDPI, vol. 9(23), pages 1-11, December.
    3. Sofiane Zouaoui & Sergio Amat & Sonia Busquier & Juan Ruiz, 2022. "On a Nonlinear Three-Point Subdivision Scheme Reproducing Piecewise Constant Functions," Mathematics, MDPI, vol. 10(15), pages 1-20, August.

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