Elastic Correspondence between Triangle Meshes

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dc.contributor.authorEzuz, Danielleen_US
dc.contributor.authorHeeren, Behrenden_US
dc.contributor.authorAzencot, Omrien_US
dc.contributor.authorRumpf, Martinen_US
dc.contributor.authorBen-Chen, Mirelaen_US
dc.contributor.editorAlliez, Pierre and Pellacini, Fabioen_US
dc.date.accessioned2019-05-05T17:39:34Z
dc.date.available2019-05-05T17:39:34Z
dc.date.issued2019
dc.description.abstractWe propose a novel approach for shape matching between triangular meshes that, in contrast to existing methods, can match crease features. Our approach is based on a hybrid optimization scheme, that solves simultaneously for an elastic deformation of the source and its projection on the target. The elastic energy we minimize is invariant to rigid body motions, and its non-linear membrane energy component favors locally injective maps. Symmetrizing this model enables feature aligned correspondences even for non-isometric meshes. We demonstrate the advantage of our approach over state of the art methods on isometric and non-isometric datasets, where we improve the geodesic distance from the ground truth, the conformal and area distortions, and the mismatch of the mean curvature functions. Finally, we show that our computed maps are applicable for surface interpolation, consistent cross-field computation, and consistent quadrangular remeshing of a set of shapes.en_US
dc.description.number2
dc.description.sectionheadersParameterization and Correspondences
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume38
dc.identifier.doi10.1111/cgf.13624
dc.identifier.issn1467-8659
dc.identifier.pages121-134
dc.identifier.urihttps://doi.org/10.1111/cgf.13624
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13624
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectMesh models
dc.titleElastic Correspondence between Triangle Meshesen_US
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