HAL - INRIA :: [hal-00319628, version 1] Volume preservation of multiresolution meshes

hal-00319628, version 1

Volume preservation of multiresolution meshes

Basile Sauvage () ¹, Stefanie Hahmann ( Author to contact preferably ) ², Georges-Pierre Bonneau () ^2, 3

Computer Graphics Forum 26, 3 (2007) 275-283

Abstract: Geometric constraints have proved to be efficient for improving 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.

1: Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection (LSIIT)
CNRS : UMR7005 – Université Louis Pasteur - Strasbourg I
2: Laboratoire Jean Kuntzmann (LJK)
CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
3: EVASION (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Institut National Polytechnique de Grenoble (INPG) – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II

hal-00319628, version 1
http://hal.archives-ouvertes.fr/hal-00319628
oai:hal.archives-ouvertes.fr:hal-00319628
From: Stefanie Hahmann <>
Submitted on: Monday, 8 September 2008 22:25:01
Updated on: Tuesday, 10 April 2012 10:42:22

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