Real-Time Symmetry-Preserving Deformation

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dc.contributor.authorWu, Xiaokunen_US
dc.contributor.authorWand, Michaelen_US
dc.contributor.authorHildebrandt, Klausen_US
dc.contributor.authorKohli, Pushmeeten_US
dc.contributor.authorSeidel, Hans-Peteren_US
dc.contributor.editorJ. Keyser, Y. J. Kim, and P. Wonkaen_US
dc.date.accessioned2015-03-03T12:53:23Z
dc.date.available2015-03-03T12:53:23Z
dc.date.issued2014en_US
dc.description.abstractIn this paper, we address the problem of structure-aware shape deformation: We specifically consider deformations that preserve symmetries of the shape being edited. While this is an elegant approach for obtaining plausible shape variations from minimal assumptions, a straightforward optimization is numerically expensive and poorly conditioned. Our paper introduces an explicit construction of bases of linear spaces of shape deformations that exactly preserve symmetries for any user-defined level of detail. This permits the construction of low-dimensional spaces of low-frequency deformations that preserve the symmetries. We obtain substantial speed-ups over alternative approaches for symmetry-preserving shape editing due to (i) the sub-space approach, which permits low-res editing, (ii) the removal of redundant, symmetric information, and (iii) the simplification of the numerical formulation due to hard-coded symmetry preservation. We demonstrate the utility in practice by applying our framework to symmetry-preserving co-rotated iterative Laplace surface editing of models with complex symmetry structure, including partial and nested symmetry.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12491en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleReal-Time Symmetry-Preserving Deformationen_US
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