A selective review on Mumford-Shah minimizers
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Publication:263306
DOI10.1007/s40574-016-0056-2zbMath1335.49002OpenAlexW2289242876MaRDI QIDQ263306
Publication date: 4 April 2016
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40574-016-0056-2
Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)
Related Items (8)
Constrained energy variation for change point detection ⋮ Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition ⋮ Discrete stochastic approximations of the Mumford-Shah functional ⋮ Stationarity of the crack-front for the Mumford-Shah problem in 3D ⋮ Regularity for the Optimal Compliance Problem with Length Penalization ⋮ A stability result for nonlinear Neumann problems in Reifenberg flat domains in \(\mathbb R^N\) ⋮ A Ginzburg-Landau model with topologically induced free discontinuities ⋮ Existence of strong solutions to the Dirichlet problem for the Griffith energy
Cites Work
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- The stress intensity factor for non-smooth fractures in antiplane elasticity
- Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy
- Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy
- A note on the Hausdorff dimension of the singular set for minimizers of the Mumford-Shah energy
- Energy release rate for non-smooth cracks in planar elasticity
- Energy release rate and stress intensity factor in antiplane elasticity
- \(C^{1+\alpha}\)-regularity for two-dimensional almost-minimal sets in \(\mathbb R^n\)
- On the boundedness of first derivatives for solutions to the Neumann-Laplace problem in a convex domain
- On the topological derivative due to kink of a crack with non-penetration. Anti-plane model
- Revisiting energy release rates in brittle fracture
- Monotonicity and separation for the Mumford-Shah problem
- Higher integrability for minimizers of the Mumford-Shah functional
- Crack initiation in brittle materials
- Asymptotical compliance optimization for connected networks
- When and how do cracks propagate?
- A generalization of Reifenberg's theorem in \({\mathbb{R}}^3\)
- Neumann and mixed problems on curvilinear polyhedra
- A variational method in image segmentation: Existence and approximation results
- The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
- Flatness and finiteness in the Mumford-Shah problem
- Variational methods in image segmentation with 7 image processing experiments
- Simplified excision techniques for free discontinuity problems in several variables
- A density result in two-dimensional linearized elasticity, and applications
- Ahlfors-regularity of Mumford-Shah quasi-minima
- Higher integrability of the gradient and dimension of the singular set for minimisers of the Mumford-Shah functional
- Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
- Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
- A model for the quasi-static growth of brittle fractures: Existence and approximation results
- A rigidity result for global Mumford-Shah minimizers in dimension three
- Singular sets of minimizers for the Mumford-Shah functional
- Quasistatic crack growth in nonlinear elasticity
- Existence theorem for a minimum problem with free discontinuity set
- The calibration method for the Mumford-Shah functional and free-discontinuity problems
- A remark on the regularity of a segmented image
- On the singular sets of minimizers of the Mumford-Shah functional
- Uniform rectifiability and singular sets
- On the regularity of edges in image segmentation
- Compliance estimates for two-dimensional problems with Dirichlet region of prescribed length
- Revisiting brittle fracture as an energy minimization problem
- Monotonicity formula and regularity for general free discontinuity problems
- An overview of the Mumford-Shah problem
- On the homogeneity of global minimizers for the Mumford-Shah functional when \(K\) is a smooth cone
- Optimal approximations by piecewise smooth functions and associated variational problems
- Existence theorem for a Dirichlet problem with free discontinuity set
- Regularity of the singular set for Mumford-Shah minimizers in R3 near a minimal cone
- Image segmentation with a finite element method
- Variational problems with two phases and their free boundaries
- Discrete approximation of a free discontinuity problem
- Existence and convergence for quasi-static evolution in brittle fracture
- LOCAL CALIBRATIONS FOR MINIMIZERS OF THE MUMFORD–SHAH FUNCTIONAL WITH A TRIPLE JUNCTION
- Discrete approximation of the Mumford-Shah functional in dimension two
- $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
- Fracture and plastic models as Γ-limits of damage models under different regimes
- Energy improvement for energy minimizing functions in the complement of generalized Reifenberg-flat sets
- ON EXPLICIT SOLUTIONS FOR THE PROBLEM OF MUMFORD AND SHAH
- Existence of strong solutions for quasi-static evolution in brittle fracture
- Approximation of Length Minimization Problems Among Compact Connected Sets
- Open Questions on the Mumford-Shah Functional
- Numerical study of a new global minimizer for the Mumford-Shah functional in R3
- On optimal regularity of free boundary problems and a conjecture of De Giorgi
- Regularity for the Optimal Compliance Problem with Length Penalization
- Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set.
- Regularity properties of free discontinuity sets
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