We show how spectral methods may be applied to 3D mesh data to obtain compact representations. This is achieved by projecting the mesh geometry onto an orthonormal basis derived from the mesh topology. To reduce complexity, the mesh is partitioned into a number of balanced submeshes with minimal interaction, each of which are compressed independently. Our methods may be used for compression and progressive transmission of 3D content, and are shown to be vastly superior to existing methods using spatial techniques, if slight loss can be tolerated.
Alternatively, Karni and Gotsman REF have proposed a 3-D mesh compression method based on spectral decompositions, where the mesh geometry is projected onto an orthonormal basis derived from the mesh topology.
Spectral compression of mesh geometry
SIGGRAPH '00
Computer Science Materials Science