A discrete 3D+t Laplacian framework for mesh animation processing

Franck Hétroy 1
1 MORPHEO - Capture and Analysis of Shapes in Motion
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : In this report we extend the discrete 3D Laplacian framework to mesh animations, represented as temporally coherent sequences of meshes. In order to let the user control the motion influence with respect to the geometry, we introduce a parameter for the time dimension. Our discrete 3D+t Laplace operator holds the same properties as the discrete 3D Laplacian, as soon as this parameter is non negative. We demonstrate the usefulness of this framework by extending Laplacian-based mesh editing and fairing techniques to mesh animations.
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https://hal.inria.fr/hal-00710899
Contributor : Franck Hétroy-Wheeler <>
Submitted on : Thursday, June 21, 2012 - 7:12:07 PM
Last modification on : Wednesday, April 11, 2018 - 1:57:47 AM
Long-term archiving on : Saturday, September 22, 2012 - 2:50:38 AM

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Franck Hétroy. A discrete 3D+t Laplacian framework for mesh animation processing. [Research Report] RR-8003, INRIA. 2012, pp.20. ⟨hal-00710899⟩

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