• DocumentCode
    2811675
  • Title

    Ternary Even Symmetric 2n-Point Subdivision

  • Author

    Zheng, Hongchan ; Hu, Meigui ; Peng, Guohua

  • Author_Institution
    Dept. of Appl. Math., Northwestern Polytech. Univ., Xi´´an, China
  • fYear
    2009
  • fDate
    11-13 Dec. 2009
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, we design a ternary even symmetric 2n-point approximating subdivision scheme which generates smooth curves of high order. We illustrate the technique with a new 4-point ternary approximating subdivision scheme which is C4 and a new 6-point ternary approximating subdivision scheme which can achieve C7-continuity. The smoothness of the new schemes is proved using Laurent polynomials.
  • Keywords
    polynomial approximation; 2n-point approximating subdivision scheme; Laurent polynomials; ternary even symmetric design; Interpolation; Mathematics; Polynomials; Spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-4507-3
  • Electronic_ISBN
    978-1-4244-4507-3
  • Type

    conf

  • DOI
    10.1109/CISE.2009.5363033
  • Filename
    5363033
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2811675