[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica

magnani at dm.unipi.it magnani at dm.unipi.it
Fri Mar 25 09:32:52 CET 2011

A new forward-backward regularization of the Perona-Malik equation
Speaker: Patrick Guidotti (University of California, Irvine)
Seminari di Calcolo delle Variazioni e Analisi Geometrica
30 Mar 2011

   Dipartimento di Matematica - Sala Riunioni - ore 17:00

   ABSTRACT: The Perona-Malik equation (PME) is a forward-backward
   nonlinear diffusion which was proposed in the context of image
   processing as an image enhancement tool capable of preserving sharp
   features such as edges. To this day its mathematical nature has not
   been fully understood in spite of many attempts. After a brief
   historical overview of the mathematical results available for the
   equation and its many regularizations/relaxations, the talk will
   introduce and analyze a novel, rather natural, regularization which
   will shed light on the nature of PME. The regularization is quite mild
   in that PME is regularized by a family of forward-backward equations,
   the solutions of which are, however, better behaved.

You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110330/

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