Accurate Surface Reconstruction in 3D Using Two-dimensional Parallel Cross Sections

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dc.contributor.authorKim, Sang-Unko
dc.contributor.authorLee, Chang-Ockko
dc.date.accessioned2015-11-20T07:17:11Z-
dc.date.available2015-11-20T07:17:11Z-
dc.date.created2015-08-18-
dc.date.created2015-08-18-
dc.date.issued2015-10-
dc.identifier.citationJOURNAL OF MATHEMATICAL IMAGING AND VISION, v.53, no.2, pp.182 - 195-
dc.identifier.issn0924-9907-
dc.identifier.urihttp://hdl.handle.net/10203/200591-
dc.description.abstractIn medical imaging or computational biology, it is required to reconstruct a surface from contours in cross sections for visualization and further processing. We propose a method to generate a surface which is smooth enough and exactly passes through contours in each cross section. For smoothness, we first define an energy of the surface using the gradient of the normal vector. Then, we express the surface using a level set function and assign values of level set function on each cross section to make the surface exactly passing through contours. Finally, we get an energy minimization problem with constraints, which can be solved using the augmented Lagrangian method and the alternating direction method. The solution of the minimization problem is the surface which we look for. Implementation of the algorithm and numerical experiments are presented.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.subjectLEVEL SET APPROACH-
dc.subjectSHAPE RECONSTRUCTION-
dc.titleAccurate Surface Reconstruction in 3D Using Two-dimensional Parallel Cross Sections-
dc.typeArticle-
dc.identifier.wosid000358323600004-
dc.identifier.scopusid2-s2.0-84938968036-
dc.type.rimsART-
dc.citation.volume53-
dc.citation.issue2-
dc.citation.beginningpage182-
dc.citation.endingpage195-
dc.citation.publicationnameJOURNAL OF MATHEMATICAL IMAGING AND VISION-
dc.identifier.doi10.1007/s10851-015-0566-z-
dc.contributor.localauthorLee, Chang-Ock-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorSurface reconstruction-
dc.subject.keywordAuthorGradient of surface normal vector-
dc.subject.keywordAuthorAugmented Lagrangian method-
dc.subject.keywordAuthor45 degrees rotation invariant schemes-
dc.subject.keywordPlusLEVEL SET APPROACH-
dc.subject.keywordPlusSHAPE RECONSTRUCTION-
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