• DocumentCode
    496260
  • Title

    Dimensions of Bivariate Sextic C^2 Spline Spaces over Generalized Type-II Triangulations

  • Author

    Liu, Huan-Wen ; Xiong, Juxia

  • Author_Institution
    Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
  • Volume
    1
  • fYear
    2009
  • fDate
    24-26 April 2009
  • Firstpage
    145
  • Lastpage
    148
  • Abstract
    It is well-known that, the algebraic structure of bivariate spline spaces over arbitrary regular triangulations is an extremely complicated problem. Therefore, people turned to study bivariate spline spaces over some special triangulations. In this paper, by using the Bezier-net method and the technique of minimal determining sets,the dimension of bivariate sextic C2 spline space over a kind of generalized type-II triangulations is studied.
  • Keywords
    polynomial approximation; splines (mathematics); Bezier-net method; algebraic structure; arbitrary regular triangulations; bivariate sextic C2 spline space; generalized type-II triangulations; minimal determining sets technique; Computer science; Function approximation; Mathematics; Polynomials; Research and development; Spline; Virtual manufacturing; B-net method; dimension; minimal determining sets; spline spaces;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
  • Conference_Location
    Sanya, Hainan
  • Print_ISBN
    978-0-7695-3605-7
  • Type

    conf

  • DOI
    10.1109/CSO.2009.363
  • Filename
    5193662
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=496260