Roland Billen

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This paper contains some reflections about using 3D topology, and more generally some 3D concepts related to 3D cadastre. Firstly, we develop some conceptual views about 3D modelling and more specifically about the definition of 3D spatial objects. Secondly, we present a new framework for representing spatial relationships. The framework has different "(More)
—This paper introduces a reasoning system based on a previously developed model for ternary projective relations between spatial objects. The model applies to spatial objects of the kind point and region, is based on basic projective invariants and takes into account the size and shape of the three objects that are involved in a relation. The reasoning(More)
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(More)
Topological relations are sometimes insufficient for differentiating spatial configurations of two objects with critical difference in their connection styles. In this paper, we present the projective 9 +-intersection model, which refines topological relations into projective binary relations by considering projective properties of the objects' shapes. This(More)