IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/9281006.html
   My bibliography  Save this article

A Family of Integer-Point Ternary Parametric Subdivision Schemes

Author

Listed:
  • Ghulam Mustafa
  • Muhammad Asghar
  • Shafqat Ali
  • Ayesha Afzal
  • Jia-Bao Liu
  • M. M. Bhatti

Abstract

New subdivision schemes are always required for the generation of smooth curves and surfaces. The purpose of this paper is to present a general formula for family of parametric ternary subdivision schemes based on the Laurent polynomial method. The different complexity subdivision schemes are obtained by substituting the different values of the parameter. The important properties of the proposed family of subdivision schemes are also presented. The continuity of the proposed family is C2m. Comparison shows that the proposed family of subdivision schemes has higher degree of polynomial generation, degree of polynomial reproduction, and continuity compared with the exiting subdivision schemes. Maple software is used for mathematical calculations and plotting of graphs.

Suggested Citation

  • Ghulam Mustafa & Muhammad Asghar & Shafqat Ali & Ayesha Afzal & Jia-Bao Liu & M. M. Bhatti, 2021. "A Family of Integer-Point Ternary Parametric Subdivision Schemes," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, October.
    • Handle: RePEc:hin:jjmath:9281006
    DOI: 10.1155/2021/9281006
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/9281006.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2021/9281006.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/9281006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jjmath:9281006. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.