• DocumentCode
    538655
  • Title

    A Rational Cubic Spline Interpolation and Its Application

  • Author

    Tian, Meng ; Bian, Qiuju

  • Author_Institution
    Sch. of Sci., Shandong Univ. of Technol., Zibo, China
  • Volume
    1
  • fYear
    2010
  • fDate
    18-20 Dec. 2010
  • Firstpage
    96
  • Lastpage
    99
  • Abstract
    In this paper, a rational cubic spline interpolation has been constructed using the rational cubic spline with quadratic denominator and the rational cubic spline based on function values. The spline can preserve monotonicity and convexity of the data set. The explicit representation is easily constructed, and numerical experiments indicate that the method produces visually pleasing curves. Also, error analysis of the spline is studied.
  • Keywords
    interpolation; splines (mathematics); function values; quadratic denominator; rational cubic spline interpolation; convex; error; monotonic; rational spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Digital Manufacturing and Automation (ICDMA), 2010 International Conference on
  • Conference_Location
    ChangSha
  • Print_ISBN
    978-0-7695-4286-7
  • Type

    conf

  • DOI
    10.1109/ICDMA.2010.90
  • Filename
    5701108