Generalized Symmetries and Equivalences of Geometric Data

An object has symmetry if there is a transformation that maps the object onto itself (i.e., the object has an invariance under the given transformation). Symmetry detection became a challenging topic particularly in pattern recognition, computer vision, computer graphics, and geometric modelling, where it addresses problems such as object alignment, data compression, symmetrical editing, reconstruction of incomplete objects, or technical illustrations support.

The goal of the GeoSym project is to bring new results according to hot topics in symmetries, mainly in generalized symmetries, exact and approximate projective equivalences; the integration of these results into semantic segmentation and object recognition enables to bring new results also in the Earth Observation data processing.