Sparse Localized Decomposition of Deformation Gradients

dc.contributor.authorHuang, Zhichaoen_US
dc.contributor.authorYao, Junfengen_US
dc.contributor.authorZhong, Zichunen_US
dc.contributor.authorLiu, Yangen_US
dc.contributor.authorGuo, Xiaohuen_US
dc.contributor.editorJ. Keyser, Y. J. Kim, and P. Wonkaen_US
dc.date.accessioned2015-03-03T12:53:24Z
dc.date.available2015-03-03T12:53:24Z
dc.date.issued2014en_US
dc.description.abstractSparse localized decomposition is a useful technique to extract meaningful deformation components out of a training set of mesh data. However, existing methods cannot capture large rotational motion in the given mesh dataset. In this paper we present a new decomposition technique based on deformation gradients. Given a mesh dataset, the deformation gradient field is extracted, and decomposed into two groups: rotation field and stretching field, through polar decomposition. These two groups of deformation information are further processed through the sparse localized decomposition into the desired components. These sparse localized components can be linearly combined to form a meaningful deformation gradient field, and can be used to reconstruct the mesh through a least squares optimization step. Our experiments show that the proposed method addresses the rotation problem associated with traditional deformation decomposition techniques, making it suitable to handle not only stretched deformations, but also articulated motions that involve large rotations.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12492en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleSparse Localized Decomposition of Deformation Gradientsen_US
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