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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
61/2002

Mumford-Shah functional as $\Gamma$-limit of discrete Perona-Malik energies

Massimiliano Morini and Matteo Negri

Abstract

We prove that a suitable rescaling of biased Perona-Malik energies, defined in the discrete setting, $\Gamma$-converges to an anisotropic version of the Mumford-Shah functional. Numerical results are discussed.

Received:
22.07.02
Published:
22.07.02

Related publications

inJournal
2003 Repository Open Access
Massimiliano Morini and Matteo Negri

Mumford-Shah functional as gamma-limit of discrete Perona-Malik energies

In: Mathematical models and methods in applied sciences, 13 (2003) 6, pp. 785-805