Projective relations in a 3d environment

Authors:
Roland Billen;Eliseo Clementini
Affiliations:
Geomatics Unit, University of Liege, Liege, Belgium;Dept. of Electrical and Information Engineering, University of L'Aquila, L'Aquila, Italy
Venue:
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
Year:
2006

Citing 5
Cited 5

Qualitative Representation of Spatial Knowledge

Qualitative Representation of Spatial Knowledge
Using Orientation Information for Qualitative Spatial Reasoning

Proceedings of the International Conference GIS - From Space to Territory: Theories and Methods of Spatio-Temporal Reasoning on Theories and Methods of Spatio-Temporal Reasoning in Geographic Space
Modeling and Computing Ternary Projective Relations between Regions

IEEE Transactions on Knowledge and Data Engineering
Semantics of collinearity among regions

OTM'05 Proceedings of the 2005 OTM Confederated international conference on On the Move to Meaningful Internet Systems
The finest of its class: the natural point-based ternary calculus LR for qualitative spatial reasoning

SC'04 Proceedings of the 4th international conference on Spatial Cognition: reasoning, Action, Interaction

Natural Language Meets Spatial Calculi

Proceedings of the international conference on Spatial Cognition VI: Learning, Reasoning, and Talking about Space
Projective Relations on the Sphere

ER '08 Proceedings of the ER 2008 Workshops (CMLSA, ECDM, FP-UML, M2AS, RIGiM, SeCoGIS, WISM) on Advances in Conceptual Modeling: Challenges and Opportunities
Ensuring semantic spatial constraints in virtual environments using UML/OCL

Proceedings of the 17th ACM Symposium on Virtual Reality Software and Technology
Referring expressions in location based services: the case of the 'opposite' relation

ER'11 Proceedings of the 30th international conference on Advances in conceptual modeling: recent developments and new directions
Integrating semantic directional relationships into virtual environments: a meta-modelling approach

EGVE - JVRC'11 Proceedings of the 17th Eurographics conference on Virtual Environments & Third Joint Virtual Reality

Quantified Score

Hi-index	0.00

Visualization

Abstract

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 R3.