• DocumentCode
    2192848
  • Title

    Chapter 1: Three Point Stationary and Non-stationary Subdivision Schemes

  • Author

    Daniel, Sunita ; Shunmugaraj, P.

  • Author_Institution
    Dept. of Math. & Stat., Indian Inst. of Technol., Kanpur
  • fYear
    2008
  • fDate
    9-11 July 2008
  • Firstpage
    3
  • Lastpage
    8
  • Abstract
    We present a family of 3-point binary approximating C-1 stationary subdivision schemes. The Chaikin 2-point scheme and a known 3-point scheme belong to this family of schemes. We also present a 3-point C-1 non-stationary subdivision scheme. This non-stationary scheme reproduces functions spanned by {1, sin(alphax), cos(alphax)}, 0 < alpha < pi/2 and, in particular, circles, ellipses and so on.
  • Keywords
    approximation theory; computational geometry; binary approximating stationary subdivision schemes; nonstationary subdivision schemes; three point stationary subdivision schemes; Computer graphics; Interpolation; Lagrangian functions; Mathematical model; Mathematics; Polynomials; Solid modeling; Statistics; curves; non-stationary scheme; stationary scheme; subdivision;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Imaging, 2008. GMAI 2008. 3rd International Conference on
  • Conference_Location
    London
  • Print_ISBN
    978-0-7695-3270-7
  • Type

    conf

  • DOI
    10.1109/GMAI.2008.13
  • Filename
    4568598
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2192848