Étude des caractéristiques projectives des objets spatiaux et de leurs relations

The projective space has been poorly explored for the characterisation of spatial objets and their relationships. This work presents the results of a "projective" approach about spatial objects shapes and about binary and ternary relationships between objects. The presented models are of prime interest for the development of spatial ontology. They provide a formal mathematical framework allowing a qualitative description of the object's shapes as well as relationships such as "the object A touches a corner of the object B" or "the object A is on the left side of the objects B and C".