GEncode: Geometry–driven compression in arbitrary dimension and co–dimension

attaches a triangle e ⊎ w to the active border edge e. w is identified by the circumradius ρ(e ⊎ w) of the original triangle which is divided by the length of e to be compact its histogram, which reduces the entropy. The position of w in the list of vertices with the same quantized radius is then encoded. Among the mesh compression algorithms, different schemes compress better specific categories of model. Among those, geometry–driven approaches have shown outstanding performances on isosurfaces. It would be expected those algorithm to also encode well meshes reconstructed from the geometry, or optimized by a geometric re–meshing. GEncode is a new single–rate compression scheme that compresses the connectivity of those meshes at almost zero–cost. It improves existing geometry–driven schemes for general meshes on both geometry and connectivity compression. This scheme extends naturally to meshes of arbitrary dimensions in arbitrary ambient space, and deals gracefully with non–manifold meshes. Compression results for surfaces are competitive with existing schemes