Continuous Matching via Vector Field Flow

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dc.contributor.authorCorman, Etienneen_US
dc.contributor.authorOvsjanikov, Maksen_US
dc.contributor.authorChambolle, Antoninen_US
dc.contributor.editorMirela Ben-Chen and Ligang Liuen_US
dc.date.accessioned2015-07-06T05:00:47Z
dc.date.available2015-07-06T05:00:47Z
dc.date.issued2015en_US
dc.description.abstractWe present a new method for non-rigid shape matching designed to enforce continuity of the resulting correspondence. Our method is based on the recently proposed functional map representation, which allows efficient manipulation and inference but often fails to provide a continuous point-to-point mapping. We address this problem by exploiting the connection between the operator representation of mappings and flows of vector fields. In particular, starting from an arbitrary continuous map between two surfaces we find an optimal flow that makes the final correspondence operator as close as possible to the initial functional map. Our method also helps to address the symmetric ambiguity problem inherent in many intrinsic correspondence methods when matching symmetric shapes. We provide practical and theoretical results showing that our method can be used to obtain an orientation preserving or reversing map starting from a functional map that represents the mixture of the two. We also show how this method can be used to improve the quality of maps produced by existing shape matching methods, and compare the resulting map's continuity with results obtained by other operator-based techniques.en_US
dc.description.number5en_US
dc.description.sectionheadersCorrespondence and Matchingen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume34en_US
dc.identifier.doi10.1111/cgf.12702en_US
dc.identifier.pages129-139en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12702en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectShape Analysisen_US
dc.titleContinuous Matching via Vector Field Flowen_US
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34-Issue 5
SGP15: Eurographics Symposium on Geometry Processing (CGF 34-5)