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An approach to the minimization of the Mumford-Shah functional using \(\varGamma\)-convergence and topological asymptotic expansion

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Publication:384169
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DOI10.4171/IFB/298zbMath1277.35347arXiv1103.4722MaRDI QIDQ384169

Markus Grasmair, Otmar Scherzer, Monika Muszkieta

Publication date: 26 November 2013

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4722

zbMATH Keywords

image segmentationMumford-Shah functional\(\varGamma\)-convergencetopological asymptotic expansion


Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Free boundary problems for PDEs (35R35) Discrete approximations in optimal control (49M25)


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