Monotonicity and separation for the Mumford-Shah problem
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Publication:697666
DOI10.1016/S0294-1449(02)00097-5zbMath1038.49022MaRDI QIDQ697666
Jean-Christophe Léger, Guy David
Publication date: 17 September 2002
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_5_631_0
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (5)
Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy ⋮ Endpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and Mikayelyan ⋮ A rigidity result for global Mumford-Shah minimizers in dimension three ⋮ A free boundary problem related to thermal insulation ⋮ A selective review on Mumford-Shah minimizers
Cites Work
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- A variational method in image segmentation: Existence and approximation results
- Flatness and finiteness in the Mumford-Shah problem
- Problems with free discontinuities
- Existence theorem for a minimum problem with free discontinuity set
- On the singular sets of minimizers of the Mumford-Shah functional
- On the regularity of edges in image segmentation
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- Optimal approximations by piecewise smooth functions and associated variational problems
- Modern Mathematics and the School Curriculum
- $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
- Hölder continuity conditions for the solvability of Dirichlet problems involving functionals with free discontinuities
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