Inserted: 25 oct 2016
Last Updated: 20 jan 2018
Journal: Acta Applicandae Mathematicae
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 $\Gamma$-converge to the Mumford-Shah functional by a result by Morini and Negri.