Volume Preservation of Multiresolution Meshes

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dc.contributor.authorSauvage, Basileen_US
dc.contributor.authorHahmann, Stefanieen_US
dc.contributor.authorBonneau, Georges-Pierreen_US
dc.date.accessioned2015-02-21T15:40:56Z
dc.date.available2015-02-21T15:40:56Z
dc.date.issued2007en_US
dc.description.abstractGeometric constraints have proved to be efficient for enhancing the realism of shape animation. The present paper addresses the computation and the preservation of the volume enclosed by multiresolution meshes. A wavelet based representation allows the mesh to be handled at any level of resolution. The key contribution is the calculation of the volume as a trilinear form with respect to the multiresolution coefficients. Efficiency is reached thanks to the pre-processing of a sparse 3D data structure involving the transposition of the filters while represented as a lifting scheme. A versatile and interactive method for preserving the volume during a deformation process is then proposed. It is based on a quadratic minimization subject to a linearization of the volume constraint. A closed form of the solution is derived.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume26en_US
dc.identifier.doi10.1111/j.1467-8659.2007.01049.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages275-283en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2007.01049.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleVolume Preservation of Multiresolution Meshesen_US
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