Watermarking 3D Meshes Based on Fixed Spectral Basis

Abstract

Watermarking 3D meshes in transformed domain by using traditional Laplacian matrix decomposing may become unstable, since the valence of meshes may be different. To solve this problem, the proposed watermarking algorithm produced fixed spectral basis by using the dual graph derived from the mesh topology and projected geometric features of the dual graph onto fixed spectral basis. In order to resist similar transforming, a geometric invariant vector was chose as watermark covering data. Watermarking signal was hided into low frequency coefficients by their linear relations. Original mesh data were not needed when extracting watermark. The proposed algorithm can resist translating, rotating, uniformed scaling, and also have robustness against mesh geometry compressing, adding noise with low intensity.