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Journal Articles Computers and Graphics Year : 2016

A 3D+t Laplace operator for temporal mesh sequences

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Abstract

The Laplace operator plays a fundamental role in geometry processing. Several discrete versions have been proposed for 3D meshes and point clouds, among others. We define here a discrete Laplace operator for temporally coherent mesh sequences, which allows to process mesh animations in a simple yet efficient way. This operator is a discretization of the Laplace-Beltrami operator using Discrete Exterior Calculus on CW complexes embedded in a four-dimensional space. A parameter is introduced to tune the influence of the motion with respect to the geometry. This enables straightforward generalization of existing Laplacian static mesh processing works to mesh sequences. An application to spacetime editing is provided as example.
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Dates and versions

hal-01318763 , version 1 (19-05-2016)

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Victoria Fernández Abrevaya, Sandeep Manandhar, Franck Hétroy-Wheeler, Stefanie Wuhrer. A 3D+t Laplace operator for temporal mesh sequences. Computers and Graphics, 2016, Shape Modeling International 2016, 58, pp.12-22. ⟨10.1016/j.cag.2016.05.018⟩. ⟨hal-01318763⟩
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