Partial 3-D Correspondence from Shape Extremities

dc.contributor.authorSahillioglu, Y.en_US
dc.contributor.authorYemez, Y.en_US
dc.contributor.editorOliver Deussen and Hao (Richard) Zhangen_US
dc.date.accessioned2015-03-03T12:44:12Z
dc.date.available2015-03-03T12:44:12Z
dc.date.issued2014en_US
dc.description.abstractWe present a 3-D correspondence method to match the geometric extremities of two shapes which are partially isometric. We consider the most general setting of the isometric partial shape correspondence problem, in which shapes to be matched may have multiple common parts at arbitrary scales as well as parts that are not similar. Our rank-and-vote-and-combine algorithm identifies and ranks potentially correct matches by exploring the space of all possible partial maps between coarsely sampled extremities. The qualified top-ranked matchings are then subjected to a more detailed analysis at a denser resolution and assigned with confidence values that accumulate into a vote matrix. A minimum weight perfect matching algorithm is finally iterated to combine the accumulated votes into an optimal (partial) mapping between shape extremities, which can further be extended to a denser map. We test the performance of our method on several data sets and benchmarks in comparison with state of the art.We present a 3D correspondence method to match the geometric extremities of two shapes which are partially isometric. We consider the most general setting of the isometric partial shape correspondence problem, in which shapes to be matched may have multiple common parts at arbitrary scales as well as parts that are not similar. Our rank-and-voteand-combine (RAVAC) algorithm identifies and ranks potentially correct matches by exploring the space of all possible partial maps between coarsely sampled extremities. The qualified top-ranked matchings are then subjected to a more detailed analysis at a denser resolution and assigned with confidence values that accumulate into a vote matrix.en_US
dc.description.number6
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume33
dc.identifier.doi10.1111/cgf.12278en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12278en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titlePartial 3-D Correspondence from Shape Extremitiesen_US
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