Flatness and finiteness in the Mumford-Shah problem

DOI10.1016/S0021-7824(99)00019-7zbMath0942.49030OpenAlexW2043884372MaRDI QIDQ1305113

Jean-Christophe Léger

Publication date: 17 August 2000

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(99)00019-7

zbMATH Keywords

regularity of minimizersimage segmentationMumford-Shah problem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10)

Related Items

Higher integrability for the gradient of Mumford-Shah almost-minimizers ⋮ Some remarks on the analyticity of minimizers of free discontinuity problems. ⋮ A rigidity result for global Mumford-Shah minimizers in dimension three ⋮ Monotonicity and separation for the Mumford-Shah problem ⋮ A free boundary problem related to thermal insulation ⋮ Flatness and finiteness in the Mumford-Shah problem ⋮ A selective review on Mumford-Shah minimizers

Cites Work

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• Flatness and finiteness in the Mumford-Shah problem
• On the singular sets of minimizers of the Mumford-Shah functional
• On the regularity of edges in image segmentation
• Optimal approximations by piecewise smooth functions and associated variational problems
• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional

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