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Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter

Author

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  • Siddiqi, Shahid S.
  • us Salam, Wardat
  • Butt, Nadeem Ahmad

Abstract

In this paper, the fractal curves and surfaces of ternary 4-point interpolatory subdivision scheme are developed and analyzed. The fractal range of the tension parameter has also been determined. The behavior of fractal curves and surfaces corresponding to different values of parameter has been depicted through six examples which offers direct means for an effective generation of subdivision fractals. The real life applications of the proposed fractal subdivision scheme has also been demonstrated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:148-158
    DOI: 10.1016/j.amc.2015.03.047
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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. Zheng, Hongchan & Ye, Zhenglin & Chen, Zuoping & Zhao, Hongxing, 2007. "Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1838-1845.
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    Cited by:

    1. 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.
    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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    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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