Total variation image restoration method based on subspace optimization
type: Item
instance of: scholarly article
title: Total variation image restoration method based on subspace optimization
zbMATH Open document ID: 1427.94023
DOI: 10.1155/2018/6921742
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The alternating direction method is widely applied in total variation image restoration. However, the search directions of the method are not accurate enough. In this paper, one method based on the subspace optimization is proposed to improve its optimization performance. This method corrects the search directions of primal alternating direction method by using the energy function and a linear combination of the previous search directions. In addition, the convergence of the primal alternating direction method is proven under some weaker conditions. Thus the convergence of the corrected method could be easily obtained since it has same convergence with the primal alternating direction method. Numerical examples are given to show the performance of proposed method finally.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 7019363
Wikidata QID: Q113078545
author: Xiaoguang Liu
author: Xingbao Gao
describes a project that uses: RecPF
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6921742
OpenAlex ID: W2784996426
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description: scientific article; zbMATH DE number 7019363