• DocumentCode
    496259
  • Title

    Local Lagrange Interpolation by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations

  • Author

    Yu, Jinhong ; Liu, Huan-Wen

  • Author_Institution
    Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
  • Volume
    1
  • fYear
    2009
  • fDate
    24-26 April 2009
  • Firstpage
    140
  • Lastpage
    144
  • Abstract
    In this paper, by using the coloring method, the Bezier-net method and the technique of minimal determining set, a kind of Lagrange interpolation schemes by bivariate C1 cubic splines with boundary conditions on nonuniform type-2 triangulations is constructed and a locally supported dual basis of bivariate C1 cubic splines space with boundary conditions on nonuniform type-2 triangulations is given.
  • Keywords
    computational geometry; interpolation; splines (mathematics); Bezier-net method; bivariate cubic splines; boundary condition; local Lagrange interpolation; nonuniform type-2 triangulation; Boundary conditions; Computer science; Interpolation; Lagrangian functions; Mathematics; Polynomials; Lagrange interpolation schemes; Lagrange minimal determing set; bivariate cubic splines; nonuniform type-2 triangulations;
  • 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.2009.440
  • Filename
    5193661