• DocumentCode
    3359160
  • Title

    A rational cubic spline for the visualization of convex data

  • Author

    Habib, Zulfiqar ; Sarfraz, Muhammad

  • Author_Institution
    Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    744
  • Lastpage
    748
  • Abstract
    This paper discusses the distribution of inflection points and singularities on a piecewise parametric rational cubic spline. Necessary and sufficient conditions for a convex data have been presented. A high degree of smoothness is obtained with automatic estimation of two families of shape preserving parameters for local convexity
  • Keywords
    computational geometry; data visualisation; splines (mathematics); convex data visualization; inflection points; local convexity; necessary and sufficient conditions; piecewise parametric rational cubic spline; rational cubic spline; shape preserving parameters; singularities; smoothness; Computer science; Data visualization; Equations; Interpolation; Linear systems; Mathematics; Minerals; Petroleum; Shape control; Spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Visualisation, 2001. Proceedings. Fifth International Conference on
  • Conference_Location
    London
  • Print_ISBN
    0-7695-1195-3
  • Type

    conf

  • DOI
    10.1109/IV.2001.942139
  • Filename
    942139