Computing and Visualization in Science

, Volume 1, Issue 1, pp 53–61 | Cite as

A coarsening finite element strategy in image selective smoothing

  • Eberhard Bänsch
  • Karol Mikula


We introduce the coarsening of finite element computational grid strategy into the method proposed by Kačur and Mikula in [11] for the numerical solution of the Perona–Malik model modified in the sense of Catté, Lions, Morel and Coll. It improves the efficiency of the method, while the solution tends to be more flat during the selective smoothing process applied to the image. The numerical approximation consists of Rothe's method in time and linear finite elements on unstructured adaptively coarsened meshes in space.


Numerical Approximation Computational Grid Element Strategy Smoothing Process Finite Element Strategy 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Eberhard Bänsch
    • 1
  • Karol Mikula
    • 2
  1. 1. Institut für Angewandte Mathematik, Universität Freiburg, Herrmann-Herder-Strasse 10, D-79104 Freiburg, Germany DE
  2. 2. Department of Mathematics, Slovak Technical University, Radlinskeho 11, SK-81368 Bratislava, Slovakia SK

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