Geometric invariance in digital imaging for the preservation of cultural heritage in Tunisia

Here, we intend to apply the harmonic analysis approach developed for the formulation of the invariant shape description for the 2D and 3D reconstruction of dynamic scenes. This formulation allows us to extract relevant descriptors which are invariant relatively to a given group of geometrical transformations. Such geometric invariance with respect a class of transformations provides to the reconstruction algorithms more robustness and better precisions compared to the conventional ones. In 3D case, the geometric invariance serves to refine 3D model generated by “shape from silhouette” algorithm. In the other hand, the registration algorithms which are based on the invariance approach allow the creation of panorama image mosaics from uncalibrated images. We illustrate the importance of the described methods in the context of cultural heritage preservation in Tunisia.