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Gradient Schemes for Image Processing

  • Robert EymardEmail author
  • Angela Handlovičová
  • Raphaèle Herbin
  • Karol Mikula
  • Olga Stašová
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 4)

Abstract

We present a gradient scheme (which happens to be similar to the MPFA finite volume O-scheme) for the approximation to the solution of the Perona-Malik model regularized by a time delay and to the solution of the nonlinear tensor anisotropic diffusion equation. Numerical examples showing properties of the method and applications in image filtering are discussed.

Keywords

advection equation semi-implicit scheme finite volume method 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Robert Eymard
    • 1
    Email author
  • Angela Handlovičová
    • 3
  • Raphaèle Herbin
    • 2
  • Karol Mikula
    • 3
  • Olga Stašová
    • 3
  1. 1.Université Paris-EstMarne la ValléeFrance
  2. 2.Centre de Mathmatiques et InformatiqueUniversité de ProvenceMarseille 13France
  3. 3.Department of MathematicsSlovak University of TechnologyBratislavaSlovakia

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