Application of spectral decomposition to compression and watermarking of 3D triangle mesh geometry

摘要

Spectral decomposition of mesh geometry has been introduced by Taubin for geometry processing purposes. It has been extended to address transmission issues by Karni and Gotsman. Such a decomposition gives rise to pseudo-frequential information of the geometry defined over the mesh connectivity. For large meshes a piecewise decomposition has to be applied in order to restrict the complexity of the transform. In this paper, we propose to introduce overlap for its spectral representation. We show gains obtained in compression, progressive transmission and watermarking of mesh geometry.