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A combined ternary 4-point subdivision scheme

Author

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  • Rehan, Kashif
  • Sabri, Muhammad Athar

Abstract

A new combined ternary 4-point subdivision scheme is introduced that generates interpolating C1 limiting curves and approximating C1, C2, C3 limiting curves. Laurent polynomial method is used to investigate the derivative continuity of the proposed subdivision scheme. The role of the tension parameters in the scheme are demonstrated using a few examples.

Suggested Citation

  • Rehan, Kashif & Sabri, Muhammad Athar, 2016. "A combined ternary 4-point subdivision scheme," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 278-283.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:278-283
    DOI: 10.1016/j.amc.2015.12.016
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    Cited by:

    1. 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.
    2. Sardar Muhammad Hussain & Aziz Ur Rehman & Dumitru Baleanu & Kottakkaran Sooppy Nisar & Abdul Ghaffar & Samsul Ariffin Abdul Karim, 2020. "Generalized 5-Point Approximating Subdivision Scheme of Varying Arity," Mathematics, MDPI, vol. 8(4), pages 1-25, March.

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