Singular sets of minimizers for the Mumford-Shah functional

From MaRDI portal
Publication:1769967

zbMath1086.49030MaRDI QIDQ1769967

Guy David

Publication date: 5 April 2005

Published in: Progress in Mathematics (Search for Journal in Brave)




Related Items (50)

Partial regularity for the crack set minimizing the two-dimensional griffith energyA local description of 2-dimensional almost minimal sets bounded by a curveExistence of minimizers for the \(2d\) stationary Griffith fracture modelTopological minimal sets and existence resultsThe stress intensity factor for non-smooth fractures in antiplane elasticityOn the homogeneity of global minimizers for the Mumford-Shah functional when \(K\) is a smooth coneDensity lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy\(C^{1+\alpha}\)-regularity for two-dimensional almost-minimal sets in \(\mathbb R^n\)Wasserstein distance and the rectifiability of doubling measures. IIHigher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energyContinuity Equation and Characteristic Flow for Scalar Hencky PlasticityFree boundary regularity for almost-minimizersHigher integrability for the gradient of Mumford-Shah almost-minimizersA survey on the Blake-Zisserman functionalOn an obstacle to the converse of Dahlberg's theorem in high codimensionsRegularity improvement for the minimizers of the two-dimensional Griffith energyAhlfors-regularity of Mumford-Shah quasi-minimaExistence of strong minimizers for the Griffith static fracture model in dimension twoGlobal regularity for minimal sets near a \(\mathbb{T}\)-set and counterexamplesOn some properties of three-dimensional minimal sets in \(\mathbb R^{ 4 }\)Crack initiation in brittle materialsA free boundary problem related to thermal insulation: flat implies smoothRegularity of almost minimizers with free boundaryCharacterization of isoperimetric sets inside almost-convex conesGlobal regularity for minimal sets near a union of two planesStationarity of the crack-front for the Mumford-Shah problem in 3DEndpoint regularity for \(2d\) Mumford-Shah minimizers: on a theorem of Andersson and MikayelyanA rigidity result for global Mumford-Shah minimizers in dimension threeRegularity for the Optimal Compliance Problem with Length PenalizationNumerical study of a new global minimizer for the Mumford-Shah functional in R3Strict interior approximation of sets of finite perimeter and functions of bounded variationMumford-Shah minimizers on thin platesMumford and Shah Model and Its Applications to Image Segmentation and Image RestorationA Ginzburg-Landau model with topologically induced free discontinuitiesSquare functions, nontangential limits, and harmonic measure in codimension larger than 1Higher integrability for minimizers of the Mumford-Shah functionalOn optimal regularity of free boundary problems and a conjecture of De GiorgiDecay of correlations and the central limit theorem for meromorphic mapsHölder regularity of two-dimensional almost-minimal sets in \(\mathbb R^n\)Limits of topological minimal sets with finitely generated coefficient groupsOptimal bounds for the analytical traveling salesman problemPartial regularity for the optimal \(p\)-compliance problem with length penalizationExistence of strong solutions to the Dirichlet problem for the Griffith energyA free boundary problem related to thermal insulationRegularity for the planar optimalp-compliance problemApproximation of Length Minimization Problems Among Compact Connected SetsApproximation of Green functions and domains with uniformly rectifiable boundaries of all dimensionsStable regular critical points of the Mumford-Shah functional are local minimizersPoint-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration modelsA selective review on Mumford-Shah minimizers




This page was built for publication: Singular sets of minimizers for the Mumford-Shah functional