Reference : Projective relations in a 3D environment
Scientific journals : Article
Engineering, computing & technology : Computer science
Physical, chemical, mathematical & earth Sciences : Earth sciences & physical geography
Projective relations in a 3D environment
[fr] Relations projectives dans un environnement 3D
Billen, Roland mailto [Université de Liège - ULg > Département de géographie > Unité de Géomatique - Topographie et géométrologie >]
Clementini, Eliseo mailto [University of L'Aquila > Department of Electrical and Information Engineering > > > >]
Lecture Notes in Computer Science
Springer-Verlag Berlin
Geographic Information Science, Proceedings
[en] spatial relations ; projective relations ; spatial ontologies
[en] This paper presents a model for positional relations among bodies of arbitrary shape in three dimensions. It is based on an existing model for projective relations among regions in two dimensions. The motivation is to provide a formal qualitative spatial relations model for emerging 3D applications. Two sets of relations are defined: ternary projective relations based on the concept of collinearity between a primary object and two reference objects and quaternary projective relations based on the concept of coplanarity between a primary object and three reference objects. Four sets of JEPD relations are defined for points and bodies in R-3.

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