• DocumentCode
    522906
  • Title

    On Interpolation by bivariate cubic splines on a rectangular unit with C^2-continuity

  • Author

    Zhou, Tianxiang ; Zhen, Houtian

  • Author_Institution
    Dept. of Comput. Sci., Shaoxing Univ., Shaoxing, China
  • Volume
    3
  • fYear
    2010
  • fDate
    4-6 June 2010
  • Firstpage
    103
  • Lastpage
    106
  • Abstract
    In this paper, we consider the interpolation method of bivariate cubic splines on a rectangular unit with C2-continuity. By discovering the relationship between the coefficient matrix and its interpolation scheme, we obtain the existence and uniformity of the interpolating splines. At the end we also provide the graphical display of the interpolating splines to show our method.
  • Keywords
    interpolation; matrix algebra; splines (mathematics); C2-continuity; bivariate cubic splines; coefficient matrix; interpolation scheme; rectangular unit; Computer science; Displays; Finite element methods; Interpolation; Joining processes; Spline; Surface reconstruction; Bivariate cubic spline; CAGD; Interpolation; Rectangular unit; Surface reconstruction; c^2-continuity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information and Computing (ICIC), 2010 Third International Conference on
  • Conference_Location
    Wuxi, Jiang Su
  • Print_ISBN
    978-1-4244-7081-5
  • Electronic_ISBN
    978-1-4244-7082-2
  • Type

    conf

  • DOI
    10.1109/ICIC.2010.210
  • Filename
    5513932
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=522906