Set of invariant features for three-dimensional gray-level objects by harmonic analysis

The recognition of three-dimensional objects of various size, position and orientation, is an important and difficult problem in scene analysis. The description by moment invariants is recognized as the usual method in this case. Here, we intend to introduce another solution based on the harmonic analysis on a given group. Gray level three-dimensional objects are considered in this paper. Such a description is invariant with respect to general three-dimensional Euclidean motions. Stability under small shape distortions is proven experimentally in the case of superquadric volumes.