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Convexity preservation of six point C2 interpolating subdivision scheme

Author

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  • Siddiqi, Shahid S.
  • Noreen, Tayyaba

Abstract

In this paper, the convexity preserving property of six-point ternary interpolating subdivision scheme with the tension parameter ω has been analyzed’. It should be noted that the condition on the tension parameter is determined when initial data is strictly convex. The condition has been determined when 7972<ω<111215, the range of C2 continuous limit curve. Significance of derived condition is elaborated through curvature plots. Some Properties of the scheme have also been explored. Conclusively the whole discussion is followed by examples.

Suggested Citation

  • Siddiqi, Shahid S. & Noreen, Tayyaba, 2015. "Convexity preservation of six point C2 interpolating subdivision scheme," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 936-944.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:936-944
    DOI: 10.1016/j.amc.2015.04.024
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    Cited by:

    1. Pakeeza Ashraf & Bushra Nawaz & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Abdul Ghaffar & Muhammad Aqeel Ahmed Khan & Saima Akram, 2020. "Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme," Mathematics, MDPI, vol. 8(3), pages 1-19, March.
    2. Pakeeza Ashraf & Abdul Ghaffar & Dumitru Baleanu & Irem Sehar & Kottakkaran Sooppy Nisar & Faheem Khan, 2020. "Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme," Mathematics, MDPI, vol. 8(5), pages 1-14, May.

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