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Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines

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

Abstract

Binary non-stationary four and five point subdivision schemes have been developed using hyperbolic B-spline basis functions. The proposed subdivision schemes generate pleasing curves near the control polygon as compared to the existing non-stationary subdivision schemes developed using trigonometric B-splines basis functions. The main speciality of the hyperbolic subdivision schemes is that they can regenerate hyperbolas and parabolas quite efficiently.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:280:y:2016:i:c:p:30-38
    DOI: 10.1016/j.amc.2016.01.020
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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. & 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.
    3. 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.
    4. 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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