Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis

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dc.contributor.authorSassen, Josuaen_US
dc.contributor.authorHildebrandt, Klausen_US
dc.contributor.authorRumpf, Martinen_US
dc.contributor.editorJacobson, Alec and Huang, Qixingen_US
dc.date.accessioned2020-07-05T13:26:10Z
dc.date.available2020-07-05T13:26:10Z
dc.date.issued2020
dc.description.abstractThis paper introduces the construction of a low-dimensional nonlinear space capturing the variability of a non-rigid shape from a data set of example poses. The core of the approach is a Sparse Principal Geodesic Analysis (SPGA) on the Riemannian manifold of discrete shells, in which a pose of a non-rigid shape is a point. The SPGA is invariant to rigid body motions of the poses and supports large deformation. Since the Riemannian metric measures the membrane and bending distortions of the shells, the sparsity term forces the modes to describe largely decoupled and localized deformations. This property facilitates the analysis of articulated shapes. The modes often represent characteristic articulations of the shape and usually come with a decomposing of the spanned subspace into low-dimensional widely decoupled subspaces. For example, for human models, one expects distinct, localized modes for the bending of elbow or knee whereas some more modes are required to represent shoulder articulation. The decoupling property can be used to construct useful starting points for the computation of the nonlinear deformations via a superposition of shape submanifolds resulting from the decoupling. In a preprocessing stage, samples of the individual subspaces are computed, and, in an online phase, these are interpolated multilinearly. This accelerates the construction of nonlinear deformations and makes the method applicable for interactive applications. The method is compared to alternative approaches and the benefits are demonstrated on different kinds of input data.en_US
dc.description.number5
dc.description.sectionheadersDeformation
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.14073
dc.identifier.issn1467-8659
dc.identifier.pages119-132
dc.identifier.urihttps://doi.org/10.1111/cgf.14073
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14073
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectComputing methodologies
dc.subjectShape modeling
dc.titleNonlinear Deformation Synthesis via Sparse Principal Geodesic Analysisen_US
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