An anisotropic Mumford-Shah model

DOI10.1016/j.jmaa.2016.10.008zbMath1351.49016OpenAlexW2532696885MaRDI QIDQ335411

David Vicente

Publication date: 2 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.10.008

zbMATH Keywords

image segmentation\(\Gamma\)-convergenceanisotropic Mumford-Shah model

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

The Weighted Ambrosio--Tortorelli Approximation Scheme ⋮ Phase-field approximation of functionals defined on piecewise-rigid maps

Cites Work

• Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures
• Phase field approximation of cohesive fracture models
• Some results on surface measures in calculus of variations
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Applications of semi-implicit Fourier-spectral method to phase field equations
• A new proof of the SBV compactness theorem
• Existence theorem for a minimum problem with free discontinuity set
• Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Stopping Times and Γ-Convergence
• A density result in SBV with respect to non-isotropic energies
• ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE
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