Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery
type: Item
instance of: scholarly article
title: Existence of generalized minimizers and dual solutions for a class of variational problems with linear growth related to image recovery
zbMATH Open document ID: 1331.49014
author: C. Tietz
author: M. Fuchs
published in: Journal of Mathematical Sciences (New York)
publication date: 2016-01-19T00:00:00Z
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 26B30
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6532740
zbMATH Keywords: variational problems
zbMATH Keywords: generalized minimizers
zbMATH Keywords: dual solutions
zbMATH Keywords: functions of bounded variation
zbMATH Keywords: image recovery
MaRDI profile type: Publication
full work available at URL: s10958-015-2575-2
OpenAlex ID: W2231001043
cites work: On some perturbations of the total variation image inpainting method. II: Relaxation and dual variational formulation
cites work: Cahn–Hilliard Inpainting and a Generalization for Grayvalue Images
cites work: Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras
cites work: Q4372663
cites work: NONLOCAL VARIATIONAL MODELS FOR INPAINTING AND INTERPOLATION
cites work: Euler's Elastica and Curvature-Based Inpainting
cites work: Mathematical models for local nontexture inpaintings
cites work: Digital inpainting based on the Mumford–Shah–Euler image model
cites work: On some perturbations of the total variation image inpainting method. I: Regularity theory
cites work: On some perturbations of the total variation image inpainting method. III: Minimization among sets with finite perimeter
cites work: Image inpainting with energies of linear growth. A collection of proposals
cites work: \(C^{1,\alpha}\)-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting
cites work: Convex functionals and partial regularity
cites work: Q4954179
cites work: Q3334514
cites work: Q4073917
cites work: Q3704420
cites work: Q4196944
cites work: A variational approach to the denoising of images based on different variants of the TV-regularization
cites work: Variational methods for problems from plasticity theory and for generalized Newtonian fluids
cites work: Convex variational problems. Linear, nearly linear and anisotropic growth conditions
cites work: Q4085497
cites work: Q4210547
cites work: Q4354419
cites work: Q3699383
cites work: Q4190998
cites work: Q4462488
cites work: Q4040640
DOI: 10.1007/S10958-015-2575-2
Recommended article: Image recovery via total variation minimization and related problems
Recommended article: A coupled variational problem of linear growth related to the denoising and inpainting of images
Recommended article: Q4460895
Recommended article: On a variational problem with a nonstandard growth functional and its applications to image processing
Recommended article: \(C^{1,\alpha}\)-interior regularity for minimizers of a class of variational problems with linear growth related to image inpainting
Recommended article: Q4037078
Recommended article: A strongly convergent algorithm for solving common variational inclusion with application to image recovery problems
Recommended article: Image recovery using functions of bounded variation and Sobolev spaces of negative differentiability
Recommended article: Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems
Recommended article: Solving a variational image restoration model which involves L constraints
description: scientific article; zbMATH DE number 6532740