Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data

DOI10.1007/s10231-011-0228-8zbMath1266.49071OpenAlexW2042900376MaRDI QIDQ1954221

Riccardo March, Francesco Solombrino, Massimo Fornasier

Publication date: 20 June 2013

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-011-0228-8

zbMATH Keywords

inverse problemsMumford-Shah functionalimage restorationdeblurringinpainting

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Computing methodologies for image processing (68U10) Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60) Numerical solution to inverse problems in abstract spaces (65J22) Existence theories in calculus of variations and optimal control (49J99)

Related Items (7)

Mumford-Shah and Potts regularization for manifold-valued data ⋮ An algorithmic framework for Mumford–Shah regularization of inverse problems in imaging ⋮ An Algorithm for Second Order Mumford--Shah Models Based on a Taylor Jet Formulation ⋮ Non-smooth Variational Regularization for Processing Manifold-Valued Data ⋮ Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case ⋮ Smoothing for signals with discontinuities using higher order Mumford-Shah models ⋮ Multi-channel Potts-based reconstruction for multi-spectral computed tomography

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