Near-Isometric Level Set Tracking

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dc.contributor.authorTao, Michaelen_US
dc.contributor.authorSolomon, Justinen_US
dc.contributor.authorButscher, Adrianen_US
dc.contributor.editorMaks Ovsjanikov and Daniele Panozzoen_US
dc.date.accessioned2016-06-17T14:11:49Z
dc.date.available2016-06-17T14:11:49Z
dc.date.issued2016en_US
dc.description.abstractImplicit representations of geometry have found applications in shape modeling, simulation, and other graphics pipelines. These representations, however, do not provide information about the paths of individual points as shapes move and undergo deformation. For this reason, we reconsider the problem of tracking points on level set surfaces, with the goal of designing an algorithm that - unlike previous work - can recover rotational motion and nearly isometric deformation. We track points on level sets of a time-varying function using approximate Killing vector fields (AKVFs), the velocity fields of near-isometric motions. To this end, we provide suitable theoretical and discrete constructions for computing AKVFs in a narrow band surrounding an animated level set surface. Furthermore, we propose time integrators well-suited to integrating AKVFs in time to track points. We demonstrate the theoretical and practical advantages of our proposed algorithms on synthetic and practical tasks.en_US
dc.description.number5en_US
dc.description.sectionheadersFitting and Trackingen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12964en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages65-77en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12964en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectGeometric algorithmsen_US
dc.subjectlanguagesen_US
dc.subjectand systemsen_US
dc.titleNear-Isometric Level Set Trackingen_US
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35-Issue 5
SGP16: Eurographics Symposium on Geometry Processing (CGF 35-5)