Principal Geodesic Analysis in the Space of Discrete Shells

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dc.contributor.authorHeeren, Behrenden_US
dc.contributor.authorZhang, Chaoen_US
dc.contributor.authorRumpf, Martinen_US
dc.contributor.authorSmith, Williamen_US
dc.contributor.editorJu, Tao and Vaxman, Amiren_US
dc.date.accessioned2018-07-27T12:55:11Z
dc.date.available2018-07-27T12:55:11Z
dc.date.issued2018
dc.description.abstractImportant sources of shape variability, such as articulated motion of body models or soft tissue dynamics, are highly nonlinear and are usually superposed on top of rigid body motion which must be factored out. We propose a novel, nonlinear, rigid body motion invariant Principal Geodesic Analysis (PGA) that allows us to analyse this variability, compress large variations based on statistical shape analysis and fit a model to measurements. For given input shape data sets we show how to compute a low dimensional approximating submanifold on the space of discrete shells, making our approach a hybrid between a physical and statistical model. General discrete shells can be projected onto the submanifold and sparsely represented by a small set of coefficients. We demonstrate two specific applications: model-constrained mesh editing and reconstruction of a dense animated mesh from sparse motion capture markers using the statistical knowledge as a prior.en_US
dc.description.number5
dc.description.sectionheadersSpaces and Transformations
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13500
dc.identifier.issn1467-8659
dc.identifier.pages173-184
dc.identifier.urihttps://doi.org/10.1111/cgf.13500
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13500
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]
dc.subjectComputational Geometry and Object Modeling
dc.subjectPhysically based modeling
dc.titlePrincipal Geodesic Analysis in the Space of Discrete Shellsen_US
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