Inverse Problem for a Planar Conductivity Inclusion

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dc.contributor.authorChoi, Doosungko
dc.contributor.authorHelsing, Johanko
dc.contributor.authorKang, Sangwooko
dc.contributor.authorLim, Mikyoungko
dc.date.accessioned2023-06-13T08:00:22Z-
dc.date.available2023-06-13T08:00:22Z-
dc.date.created2023-06-13-
dc.date.created2023-06-13-
dc.date.created2023-06-13-
dc.date.created2023-06-13-
dc.date.issued2023-06-
dc.identifier.citationSIAM JOURNAL ON IMAGING SCIENCES, v.16, no.2, pp.969 - 995-
dc.identifier.issn1936-4954-
dc.identifier.urihttp://hdl.handle.net/10203/307241-
dc.description.abstractThis paper concerns the inverse problem of determining a planar conductivity inclusion. Our aim is to analytically recover from the generalized polarization tensors (GPTs), which can be obtained from exterior measurements, a homogeneous inclusion with arbitrary constant conductivity. The primary outcome of recovering a homogeneous inclusion is an inversion formula in terms of the GPTs for conformal mapping coefficients associated with the inclusion. To prove the formula, we establish matrix factorizations for the GPTs.-
dc.languageEnglish-
dc.publisherSIAM PUBLICATIONS-
dc.titleInverse Problem for a Planar Conductivity Inclusion-
dc.typeArticle-
dc.identifier.wosid001041228100004-
dc.identifier.scopusid2-s2.0-85179182287-
dc.type.rimsART-
dc.citation.volume16-
dc.citation.issue2-
dc.citation.beginningpage969-
dc.citation.endingpage995-
dc.citation.publicationnameSIAM JOURNAL ON IMAGING SCIENCES-
dc.identifier.doi10.1137/22m1522395-
dc.contributor.localauthorLim, Mikyoung-
dc.contributor.nonIdAuthorChoi, Doosung-
dc.contributor.nonIdAuthorHelsing, Johan-
dc.contributor.nonIdAuthorKang, Sangwoo-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorinverse conductivity problem-
dc.subject.keywordAuthorLipschitz domain-
dc.subject.keywordAuthorconformal mapping-
dc.subject.keywordAuthorgeneralized polarization tensor-
dc.subject.keywordPlusGLOBAL UNIQUENESS-
dc.subject.keywordPlusFABER SERIES-
dc.subject.keywordPlusPOLARIZATION TENSORS-
dc.subject.keywordPlusINTEGRAL-EQUATIONS-
dc.subject.keywordPlusCALDERON PROBLEM-
dc.subject.keywordPlusRECONSTRUCTION-
dc.subject.keywordPlusPOTENTIALS-
dc.subject.keywordPlusREGULARITY-
dc.subject.keywordPlusTHEOREM-
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