PRIMAL DOMAIN DECOMPOSITION METHODS FOR THE TOTAL VARIATION MINIMIZATION, BASED ON DUAL DECOMPOSITION

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dc.contributor.authorLee, Chang-Ockko
dc.contributor.authorNam, Chang Minko
dc.date.accessioned2017-07-04T02:26:07Z-
dc.date.available2017-07-04T02:26:07Z-
dc.date.created2017-06-20-
dc.date.created2017-06-20-
dc.date.issued2017-
dc.identifier.citationSIAM JOURNAL ON SCIENTIFIC COMPUTING, v.39, no.2, pp.B403 - B423-
dc.identifier.issn1064-8275-
dc.identifier.urihttp://hdl.handle.net/10203/224568-
dc.description.abstractWe propose nonoverlapping domain decomposition methods for solving the total variation minimization problem. We decompose the domain of the dual problem into nonoverlapping rectangular subdomains, where local total variation problems are solved. We convert the local dual problems into the equivalent primal forms which reproduce the original problem at smaller dimensions. Sequential and parallel algorithms are presented. The convergence of both algorithms is analyzed and numerical results are presented.-
dc.languageEnglish-
dc.publisherSIAM PUBLICATIONS-
dc.subjectSUBSPACE CORRECTION METHODS-
dc.subjectLINEAR INVERSE PROBLEMS-
dc.subjectIMAGE-RESTORATION-
dc.subjectTHRESHOLDING ALGORITHM-
dc.subjectRECOVERY-
dc.titlePRIMAL DOMAIN DECOMPOSITION METHODS FOR THE TOTAL VARIATION MINIMIZATION, BASED ON DUAL DECOMPOSITION-
dc.typeArticle-
dc.identifier.wosid000401776100008-
dc.identifier.scopusid2-s2.0-85018293170-
dc.type.rimsART-
dc.citation.volume39-
dc.citation.issue2-
dc.citation.beginningpageB403-
dc.citation.endingpageB423-
dc.citation.publicationnameSIAM JOURNAL ON SCIENTIFIC COMPUTING-
dc.identifier.doi10.1137/15M1049919-
dc.contributor.localauthorLee, Chang-Ock-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthortotal variation-
dc.subject.keywordAuthordomain decomposition-
dc.subject.keywordAuthorparallel computation-
dc.subject.keywordAuthorconvex optimization-
dc.subject.keywordAuthorimage processing-
dc.subject.keywordPlusSUBSPACE CORRECTION METHODS-
dc.subject.keywordPlusLINEAR INVERSE PROBLEMS-
dc.subject.keywordPlusIMAGE-RESTORATION-
dc.subject.keywordPlusTHRESHOLDING ALGORITHM-
dc.subject.keywordPlusRECOVERY-
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