Image restoration based on the hybrid total-variation-type model
type: Item
instance of: scholarly article
title: Image restoration based on the hybrid total-variation-type model
zbMATH Open document ID: 1256.68142
DOI: 10.1155/2012/376802
author: Zhifeng Pang
author: Yufei Yang
author: Baoli Shi
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We propose a hybrid total-variation-type model for the image restoration problem based on combining advantages of the ROF model with the LLT model. Since two \(L^1\)-norm terms in the proposed model make it difficult to solve it using some classical numerical methods directly, we first employ the alternating direction method of multipliers (ADMM) to solve a general form of the proposed model. Then, based on the ADMM and the Moreau-Yosida decomposition theory, a more efficient method, called the proximal point method (PPM), is proposed and the convergence of the proposed method is proved. Some numerical results demonstrate the viability and efficiency of the proposed model and methods.
Mathematics Subject Classification ID: 68T45
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 6134071
Wikidata QID: Q58696453
describes a project that uses: RecPF
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/376802
OpenAlex ID: W2047418113
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description: scientific article; zbMATH DE number 6134071