Skeleton-based Variational Mesh Deformations

dc.contributor.authorYoshizawa, Shinen_US
dc.contributor.authorBelyaev, Alexanderen_US
dc.contributor.authorSeidel, Hans-Peteren_US
dc.date.accessioned2015-02-21T15:40:54Z
dc.date.available2015-02-21T15:40:54Z
dc.date.issued2007en_US
dc.description.abstractIn this paper, a new free-form shape deformation approach is proposed. We combine a skeleton-based mesh deformation technique with discrete differential coordinates in order to create natural-looking global shape deformations. Given a triangle mesh, we first extract a skeletal mesh, a two-sided Voronoibased approximation of the medial axis. Next the skeletal mesh is modified by free-form deformations. Then a desired global shape deformation is obtained by reconstructing the shape corresponding to the deformed skeletal mesh. The reconstruction is based on using discrete differential coordinates. Our method preserves fine geometric details and original shape thickness because of using discrete differential coordinates and skeleton-based deformations. We also develop a new mesh evolution technique which allow us to eliminate possible global and local self-intersections of the deformed mesh while preserving fine geometric details. Finally, we present a multi-resolution version of our approach in order to simplify and accelerate the deformation process. In addition, interesting links between the proposed free-form shape deformation technique and classical and modern results in the differential geometry of sphere congruences are established and discussed.en_US
dc.description.number3en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume26en_US
dc.identifier.doi10.1111/j.1467-8659.2007.01047.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages255-264en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2007.01047.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleSkeleton-based Variational Mesh Deformationsen_US
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