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A new non-stationary binary 6-point subdivision scheme

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  • Siddiqi, Shahid S.
  • Salam, Wardat us
  • Rehan, Kashif

Abstract

In this paper, the hyperbolic form of binary 6-point interpolating non-stationary subdivision scheme has been constructed using the hyperbolic function. Some of the important properties of the proposed scheme has been discussed. The comparison of the proposed scheme with the trigonometric form of binary 6-point interpolatory non-stationary scheme is depicted through examples which indicate that the proposed scheme not only accommodates and is more consistent with the control polygon, but also generates pleasing curves corresponding to the larger parametric values in and outside the parametric interval as compared to the trigonometric form of binary 6-point scheme developed by Daniel et al. Comparison with some other interpolating non-stationary subdivision schemes has also been demonstrated.

Suggested Citation

  • Siddiqi, Shahid S. & Salam, Wardat us & Rehan, Kashif, 2015. "A new non-stationary binary 6-point subdivision scheme," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1227-1239.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:1227-1239
    DOI: 10.1016/j.amc.2015.07.031
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    References listed on IDEAS

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    1. Zheng, Hongchan & Ye, Zhenglin & Lei, Youming & Liu, Xiaodong, 2007. "Fractal properties of interpolatory subdivision schemes and their application in fractal generation," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 113-123.
    2. Siddiqi, Shahid S. & us Salam, Wardat & Butt, Nadeem Ahmad, 2015. "Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 148-158.
    3. 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. Abdellah Lamnii & Mohamed Yassir Nour & Ahmed Zidna, 2021. "A Reverse Non-Stationary Generalized B-Splines Subdivision Scheme," Mathematics, MDPI, vol. 9(20), pages 1-16, October.
    2. Siddiqi, Shahid S. & Salam, Wardat us & Rehan, Kashif, 2016. "Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 30-38.

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