Article (Scientific journals)
Projective relations in a 3D environment
Billen, Roland; Clementini, Eliseo
2006In Lecture Notes in Computer Science, 4197, p. 18-32
Peer reviewed
 

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Keywords :
spatial relations; projective relations; spatial ontologies
Abstract :
[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.
Disciplines :
Earth sciences & physical geography
Computer science
Author, co-author :
Billen, Roland  ;  Université de Liège - ULiège > Département de géographie > Unité de Géomatique - Topographie et géométrologie
Clementini, Eliseo;  University of L'Aquila > Department of Electrical and Information Engineering
Language :
English
Title :
Projective relations in a 3D environment
Alternative titles :
[fr] Relations projectives dans un environnement 3D
Publication date :
2006
Journal title :
Lecture Notes in Computer Science
ISSN :
0302-9743
eISSN :
1611-3349
Publisher :
Springer-Verlag Berlin, Berlin, Germany
Special issue title :
Geographic Information Science, Proceedings
Volume :
4197
Pages :
18-32
Peer reviewed :
Peer reviewed
Available on ORBi :
since 16 August 2008

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