Fast Grid-Based Nonlinear Elasticity for 2D Deformations

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dc.contributor.authorSetaluri, Rajsekharen_US
dc.contributor.authorWang, Yuen_US
dc.contributor.authorMitchell, Nathanen_US
dc.contributor.authorKavan, Ladislaven_US
dc.contributor.authorSifakis, Eftychiosen_US
dc.contributor.editorVladlen Koltun and Eftychios Sifakisen_US
dc.date.accessioned2014-12-16T07:33:44Z
dc.date.available2014-12-16T07:33:44Z
dc.date.issued2014en_US
dc.description.abstractWe present a deformation technique that constructs 2D warps by using spline curves to specify the starting and target shapes of selected key contours. We generate a two-dimensional deformation map from these contours by simulating a non-linear elastic membrane deforming in accordance with user-specified constraints. Although we support and demonstrate elastic models inspired by physical membranes, we highlight a custom material model for this specific application, which combines the benefits of harmonic interpolation and area-preserving deformations. Our warps are represented via a standard Cartesian lattice and leverage the regularity of this description to enable efficient computation. Specifically, our method resolves the targeting constraints imposed along arbitrarily shaped contours with sub-grid cell precision, without requiring an explicit remeshing of the warp lattice around the constraint curve. We describe how to obtain a well-conditioned discretization of our membrane model even under elaborate constraints and strict area preservation demands, and present a multigrid solver for the efficient numerical solution of the deformation problem.en_US
dc.description.seriesinformationEurographics/ ACM SIGGRAPH Symposium on Computer Animationen_US
dc.identifier.isbn978-3-905674-61-3en_US
dc.identifier.issn1727-5288en_US
dc.identifier.urihttps://doi.org/10.2312/sca.20141124en_US
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/sca.20141124.067-076
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectComputational Geometry and Object Modelingen_US
dc.subjectPhysically based modelingen_US
dc.titleFast Grid-Based Nonlinear Elasticity for 2D Deformationsen_US
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SCA 14: Eurographics/SIGGRAPH Symposium on Computer Animation