Performance of the restarted homotopy perturbation method and split Bregman method for multiplicative noise removal
type: Item
instance of: scholarly article
title: Performance of the restarted homotopy perturbation method and split Bregman method for multiplicative noise removal
zbMATH Open document ID: 1427.94016
DOI: 10.1155/2018/7696798
author: Yu Du Han
author: Jae Heon Yun
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: In this paper, we first propose restarted homotopy perturbation methods (RHPM) for multiplicative noise removal of the RLO and AA2 models. The main difficulty in applying the RHPM to the nonlinear denoising problem is settled by using binomial series techniques. We next propose the split Bregman methods for multiplicative noise removal of the RLO and AA2 models. The difficulty in applying the split Bregman method to the nonlinear denoising problem can be handled by transforming ill-conditioned linear systems into well-conditioned linear systems using splitting techniques of singular matrices. Lastly, numerical experiments for several test problems are provided to demonstrate the efficiency and reliability of the RHPM and split Bregman methods.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 7019488
describes a project that uses: RecPF
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7696798
OpenAlex ID: W2902451884
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Wikidata QID: Q128811315
description: scientific article; zbMATH DE number 7019488