Convergence of Level Sets in Total Variation Denoising Through Variational Curvatures in Unbounded Domains

DOI10.1137/20M1346584zbMath1461.49057arXiv2005.13910MaRDI QIDQ5858113

Gwenael Mercier, José A. Iglesias

Publication date: 9 April 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13910

zbMATH Keywords

total variationsets of finite perimeterdenoisingHausdorff distancesurfaces of prescribed mean curvaturevariational mean curvature

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (4)

Convergence of level sets in fractional Laplacian regularization ⋮ Boundedness and unboundedness in total variation regularization ⋮ The logarithmic Sobolev capacity ⋮ Conducting flat drops in a confining potential

Cites Work

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• Volume-constrained minimizers for the prescribed curvature problem in periodic media
• Fine properties of the subdifferential for a class of one-homogeneous functionals
• The integral of the normal and fluxes over sets of finite perimeter
• A note on the convex hull of sets of finite perimeter in the plane
• Area minimizing sets subject to a volume constraint in a convex set
• The curvature of a set with finite area
• Morrey spaces and generalized Cheeger sets
• Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem
• Characterization of Cheeger sets for convex subsets of the plane
• Techniques of variational analysis
• The mean curvature of a Lipschitz continuous manifold
• Total Variation in Imaging
• Sets of Finite Perimeter and Geometric Variational Problems
• Variational Analysis in Sobolev and BV Spaces
• The mean curvature of a set of finite perimeter
• Geometric properties of solutions to the total variation denoising problem
• Variational Analysis
• A note on convergence of solutions of total variation regularized linear inverse problems
• On Some Estimates for Projection Operator in Banach Space
• On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Influence of dimension on the convergence of level-sets in total variation regularization
• Minimizers of the prescribed curvature functional in a Jordan domain with no necks
• Direct methods in the calculus of variations
• Uniqueness of the Cheeger set of a convex body

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