2D shape similarity as a complement for Voronoi-Delone methods in shape reconstruction

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dc.contributor.authorRuiz, O.E.
dc.contributor.authorCadavid, C.A.
dc.contributor.authorGranados, M.
dc.contributor.authorPeña, S.
dc.contributor.authorVásquez, E.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2021-04-16T21:24:54Z
dc.date.available2021-04-16T21:24:54Z
dc.date.issued2005-02-01
dc.description.abstractIn surface reconstruction from planar cross sections it is necessary to build surfaces between 2D contours in consecutive cross sections. This problem has been traditionally attacked by (i) direct reconstruction based on local geometric proximity between the contours, and (ii) classification of topological events between the cross sections. These approaches have been separately applied with limited success. In case (i), the resulting surfaces may have overstretched or unnatural branches. These arise from local contour proximity which does not reflect global similarity between the contours. In case (ii), the topological events are identified but are not translated into the actual construction of a surface. This article presents an integration of the approaches (i) and (ii). Similarity between the composite 2D regions bounded by the contours in consecutive cross sections is used to: (a) decide whether a surface should actually relate two composite 2D regions, (b) identify the type and location of topological transitions between cross sections and (c) drive the surface construction for the regions found to be related in step (a). The implemented method avoids overstretched or unnatural branches, rendering a surface which is both geometrically intuitive and topologically faithful to the cross sections of the original object. The presented method is a good alternative in cases in which correct reproduction of the topology of the surface (e.g. simulation of flow in conduits) is more important than its geometry (e.g. assessment of tumor mass in radiation planning). © 2004 Elsevier Ltd. All rights reserved.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1739
dc.identifier.doi10.1016/j.cag.2004.11.009
dc.identifier.issn00978493
dc.identifier.issn18737684
dc.identifier.otherWOS;000227591600009
dc.identifier.otherSCOPUS;2-s2.0-14044272037
dc.identifier.urihttp://hdl.handle.net/10784/29483
dc.language.isoengspa
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-14044272037&doi=10.1016%2fj.cag.2004.11.009&partnerID=40&md5=94a5d40d10bf6cec5d282de682483f8b
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0097-8493
dc.sourceCOMPUTERS & GRAPHICS-UK
dc.subject.keywordAlgorithmseng
dc.subject.keywordComputational complexityeng
dc.subject.keywordImage reconstructioneng
dc.subject.keywordImage segmentationeng
dc.subject.keywordInformation analysiseng
dc.subject.keywordNyquist diagramseng
dc.subject.keywordProblem solvingeng
dc.subject.keywordTopologyeng
dc.subject.keywordTwo dimensionaleng
dc.subject.keywordCross sectioneng
dc.subject.keywordSurface reconstructioneng
dc.subject.keywordTopological evolutioneng
dc.subject.keywordTwo dimensional (2D) shape similarityeng
dc.subject.keywordSurface structureeng
dc.title2D shape similarity as a complement for Voronoi-Delone methods in shape reconstructioneng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

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