Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals

preprint2016arXivOpen access

Abstract

We present an asymptotic description of local minimization problems, and of quasi-static and dynamic evolutions of scaled Perona-Malik functionals. The scaling is chosen such that these energies ΓΓ-converge to the Mumford-Shah functional by a result by Morini and Negri.

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