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".

Étude des caractéristiques projectives des objets spatiaux et de leurs relations

CLEMENTINI, ELISEO
2004-01-01

Abstract

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".
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/20305
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