• DocumentCode
    1965818
  • Title

    Multivariate variation diminishing approximation

  • Author

    Yanilmaz, Mehmet

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
  • fYear
    1989
  • fDate
    14-16 Aug 1989
  • Firstpage
    458
  • Abstract
    Algorithms to generate shape-preserving polynomial interpolants to multivariate data are presented. Multivariate variation diminishing splines over rectangular partitions are considered first. Bernstein-Bezier interpolants over triangulations is the second approach considered. The methods are evaluated in terms of the computational effort required to construct the interpolants
  • Keywords
    approximation theory; interpolation; splines (mathematics); Bernstein-Bezier interpolants; computational effort; multivariate data; rectangular partitions; shape-preserving polynomial interpolants; splines; triangulations; variation diminishing approximation; Approximation algorithms; Computer science; Finite element methods; Hypercubes; Partitioning algorithms; Polynomials; Shape; Spline; Tensile stress;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
  • Conference_Location
    Champaign, IL
  • Type

    conf

  • DOI
    10.1109/MWSCAS.1989.101890
  • Filename
    101890