An Eulerian Approach for Constructing a Map Between Surfaces With Different Topologies

dc.contributor.authorPark, Hangilen_US
dc.contributor.authorCho, Youngjinen_US
dc.contributor.authorBang, Seungbaeen_US
dc.contributor.authorLee, Sung-Heeen_US
dc.contributor.editorEitan Grinspun and Bernd Bickel and Yoshinori Dobashien_US
dc.date.accessioned2016-10-11T05:18:35Z
dc.date.available2016-10-11T05:18:35Z
dc.date.issued2016
dc.description.abstract3D objects of the same kind often have different topologies, and finding correspondence between them is important for operations such as morphing, attribute transfer, and shape matching. This paper presents a novel method to find the surface correspondence between topologically different surfaces. The method is characterized by deforming the source polygonal mesh to match the target mesh by using the intermediate implicit surfaces, and by performing a topological surgery at the appropriate locations on the mesh. In particular, we propose a mathematically well-defined way to detect the topology change of surface by finding the non-degenerate saddle points of the velocity fields that tracks implicit surfaces. We show the effectiveness and possible applications of the proposed method through several experiments.en_US
dc.description.number7
dc.description.sectionheadersMatching and Interpolation
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume35
dc.identifier.doi10.1111/cgf.12999
dc.identifier.issn1467-8659
dc.identifier.pages11-19
dc.identifier.urihttps://doi.org/10.1111/cgf.12999
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf12999
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]
dc.subjectComputational Geometry and Object Modeling
dc.subjectGeometric algorithms
dc.subjectlanguages
dc.subjectand systems
dc.titleAn Eulerian Approach for Constructing a Map Between Surfaces With Different Topologiesen_US
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