Generalized Surface Flows for Mesh Processing

dc.contributor.authorEckstein, Ilyaen_US
dc.contributor.authorPons, Jean-Philippeen_US
dc.contributor.authorTong, Yiyingen_US
dc.contributor.authorKuo, C.-C. Jayen_US
dc.contributor.authorDesbrun, Mathieuen_US
dc.contributor.editorAlexander Belyaev and Michael Garlanden_US
dc.date.accessioned2014-01-29T09:43:13Z
dc.date.available2014-01-29T09:43:13Z
dc.date.issued2007en_US
dc.description.abstractGeometric flows are ubiquitous in mesh processing. Curve and surface evolutions based on functional minimization have been used in the context of surface diffusion, denoising, shape optimization, minimal surfaces, and geodesic paths to mention a few. Such gradient flows are nearly always, yet often implicitly, based on the canonical L2 inner product of vector fields. In this paper, we point out that changing this inner product provides a simple, powerful, and untapped approach to extend current flows. We demonstrate the value of such a norm alteration for regularization and volume-preservation purposes and in the context of shape matching, where deformation priors (ranging from rigid motion to articulated motion) can be incorporated into a gradient flow to drastically improve results. Implementation details, including a differentiable approximation of the Hausdorff distance between irregular meshes, are presented.en_US
dc.description.seriesinformationGeometry Processingen_US
dc.identifier.isbn978-3-905673-46-3en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP07/183-192en_US
dc.publisherThe Eurographics Associationen_US
dc.titleGeneralized Surface Flows for Mesh Processingen_US
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