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A unique characteristic of GIS as compared to other information systems, is their capacity to manage spatial relationships, such as connections or interrelations among objects in the geometric domain. A number of frameworks use topology as a basic mechanism to define spatial relationships. The OpenGIS consortium has adopted one of them, i.e. the(More)
Although intensive work has been devoted to spatio-temporal qualitative reasoning models, some issues such as management of complex objects life and motion remain. In this paper, we propose a model dealing with existence and presence of object concepts. First, we introduce spatio-temporal states, which express existing spatio-temporal relationships between(More)
Current spatial database systems offer limited querying capabilities beyond binary topological relations. This paper introduces a model for projective relations between regions to support other qualitative spatial queries. The relations are ternary because they are based on the collinearity invariant of three points under projective geometry. The model is(More)
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 system(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)