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

Massimiliano Morini and Matteo Negri

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Submission date: 22. Jul. 2002
Pages: 22
published in: Mathematical models and methods in applied sciences, 13 (2003) 6, p. 785-805 
DOI number (of the published article): 10.1142/S0218202503002726
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Abstract:
We prove that a suitable rescaling of biased Perona-Malik energies, defined in the discrete setting, -converges to an anisotropic version of the Mumford-Shah functional. Numerical results are discussed.