Department of Image Processing

Generalization of the complex moments from 2D to 3D is described and invariants to 3D rotations are constructed from them. The algorithm for automatic generating of the invariants of higher orders is proposed. The proofs of the invariance by means of group representation theory and by direct substitution are compared. The linearly dependent (reducible) invariants are eliminated. The invariants are experimentally tested on 3D graphical models and also on real volumetric data.