Volume Preservation of Multiresolution Meshes

Computer Graphics Forum - 2007
Download the publication : SHB07.pdf [1Mo]  
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.

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BibTex references

@Article\{SHB07,
  author       = "Sauvage, Basile and Hahmann, Stefanie and Bonneau, Georges-Pierre",
  title        = "Volume Preservation of Multiresolution Meshes",
  journal      = "Computer Graphics Forum",
  year         = "2007",
  note         = "Proceedings of Eurographics'2007",
  url          = "http://www-evasion.imag.fr/Publications/2007/SHB07"
}

Other publications in the database

» Basile Sauvage : in lab LJK base , in team EVASION base
» Stefanie Hahmann : in lab LJK base , in team EVASION base
» Georges-Pierre Bonneau : in lab LJK base , in team EVASION base