A variational approach to the denoising of images based on different variants of the TV-regularization
type: Item
instance of: scholarly article
title: A variational approach to the denoising of images based on different variants of the TV-regularization
zbMATH Open document ID: 1260.49074
author: M. Bildhauer
author: M. Fuchs
published in: Applied Mathematics and Optimization
publication date: 2013-02-18T00:00:00Z
review text: The purpose of this short paper is to investigate the existence and the regularity of solutions for some variational problems related to varational partial differential methods used in image recovery. Loosely speaking, one has to reconstruct an original image from an observed pattern, and the technique to this end is to minimize a functional in the form of an integral which defines the quality of the data fitting. The authors consider successively nearly linear growth and linear growth and in each case they state some convergence properties for the approximation of the solution.
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6136946
zbMATH Keywords: image recovery
zbMATH Keywords: functions of bounded variation
zbMATH Keywords: variational problems of linear growth
zbMATH Keywords: variational problems of nearly linear growth
zbMATH Keywords: solution regularity
reviewed by: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: s00245-012-9174-0
OpenAlex ID: W2073426290
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DOI: 10.1007/S00245-012-9174-0
description: scientific article; zbMATH DE number 6136946