A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations

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dc.contributor.authorLee, Chang-Ockko
dc.contributor.authorPark, Jonghoko
dc.date.accessioned2020-01-07T05:20:15Z-
dc.date.available2020-01-07T05:20:15Z-
dc.date.created2020-01-03-
dc.date.created2020-01-03-
dc.date.issued2019-12-
dc.identifier.citationJOURNAL OF SCIENTIFIC COMPUTING, v.81, no.3, pp.2331 - 2355-
dc.identifier.issn0885-7474-
dc.identifier.urihttp://hdl.handle.net/10203/270915-
dc.description.abstractIn this paper, we consider a primal-dual domain decomposition method for total variation regularized problems appearing in mathematical image processing. The model problem is transformed into an equivalent constrainedminimization problem by tearing-andinterconnecting domain decomposition. Then, the continuity constraints on the subdomain interfaces are treated by introducing Lagrange multipliers. The resulting saddle point problem is solved by the first order primal-dual algorithm. We apply the proposed method to image denoising, inpainting, and segmentation problems with either L2-fidelity or L1-fidelity. Numerical results show that the proposed method outperforms the existing state-of-the-art methods.-
dc.languageEnglish-
dc.publisherSPRINGER/PLENUM PUBLISHERS-
dc.titleA Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations-
dc.typeArticle-
dc.identifier.wosid000501505900046-
dc.identifier.scopusid2-s2.0-85074750852-
dc.type.rimsART-
dc.citation.volume81-
dc.citation.issue3-
dc.citation.beginningpage2331-
dc.citation.endingpage2355-
dc.citation.publicationnameJOURNAL OF SCIENTIFIC COMPUTING-
dc.identifier.doi10.1007/s10915-019-01085-z-
dc.contributor.localauthorLee, Chang-Ock-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorTotal variation-
dc.subject.keywordAuthorLagrange multipliers-
dc.subject.keywordAuthorDomain decomposition-
dc.subject.keywordAuthorParallel computation-
dc.subject.keywordAuthorImage processing-
dc.subject.keywordPlusSUBSPACE CORRECTION METHODS-
dc.subject.keywordPlusOSHER-FATEMI MODEL-
dc.subject.keywordPlusCONVERGENCE-
dc.subject.keywordPlusFIDELITY-
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MA-Journal Papers(저널논문)
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