Mumford-Shah minimizers on thin plates

DOI10.1007/s00526-006-0018-0zbMath1103.49022OpenAlexW2117621609MaRDI QIDQ2501174

Guy David

Publication date: 4 September 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0018-0

zbMATH Keywords

dimension reductionthin platesMumford-Shah functional

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions (49K99)

Related Items (1)

Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures

Cites Work

• Existence theory for a new class of variational problems
• A variational method in image segmentation: Existence and approximation results
• Variational methods in image segmentation with 7 image processing experiments
• Simplified excision techniques for free discontinuity problems in several variables
• Singular sets of minimizers for the Mumford-Shah functional
• Existence theorem for a minimum problem with free discontinuity set
• Blow-up techniques and regularity near the boundary for free discontinuity problems
• Optimal approximations by piecewise smooth functions and associated variational problems
• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
• The Measure of Product and Cylinder Sets
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