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Fractal And Convexity Analysis Of The Quaternary Four-Point Scheme And Its Applications

Author

Listed:
  • SHAO-WEN YAO

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P. R. China)

  • PAKEEZA ASHRAF

    (Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, Pakistan)

  • ABDUL GHAFFAR

    (Department of Mathematics, Ghazi University, Dera Ghazi Khan 32200, Pakistan)

  • MISBAH KOUSAR

    (Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, Pakistan)

  • MUSTAFA INC

    (Department of Mathematics, Firat University, ElaziÄŸ 23119, Turkey6Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • NIAT NIGAR

    (School of Mathematics, Minhaj University Lahore, Lahore 54000, Pakistan)

Abstract

The main objective of this research is to analyze some geometrical properties of a quaternary four-point interpolatory subdivision scheme (Q4-scheme) with a shape parameter and then find the precise range of the shape parameter of the Q4-scheme to generate fractal and convexity of limit curves. That allows the curve to change easily and be more flexible without altering its control points. Therefore, by taking the various values of tension parameters, the curve still preserves its characteristics and geometrical configuration. These geometric modeling examples show that our techniques can be easily performed, and they can also provide us with an alternative strong strategy for the modeling of complex figures.

Suggested Citation

  • Shao-Wen Yao & Pakeeza Ashraf & Abdul Ghaffar & Misbah Kousar & Mustafa Inc & Niat Nigar, 2023. "Fractal And Convexity Analysis Of The Quaternary Four-Point Scheme And Its Applications," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23400881
    DOI: 10.1142/S0218348X23400881
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