From 9-IM Topological Operators to Qualitative Spatial Relations using 3D Selective Nef Complexes and Logic Rules for Bodies

Helmi Ben Hmida, Christophe Cruz, Frank Boochs, Christophe Nicolle

2012

Abstract

This paper presents a method to compute automatically topological relations using SWRL rules. The calculation of these rules is based on the definition of a Selective Nef Complexes Nef Polyhedra structure generated from standard Polyhedron. The Selective Nef Complexes is a data model providing a set of binary Boolean operators such as Union, Difference, Intersection and Symmetric difference, and unary operators such as Interior, Closure and Boundary. In this work, these operators are used to compute topological relations between objects defined by the constraints of the 9 Intersection Model (9-IM) from Egenhofer. With the help of these constraints, we defined a procedure to compute the topological relations on Nef polyhedra. These topological relationships are Disjoint, Meets, Contains, Inside, Covers, CoveredBy, Equals and Overlaps, and defined in a top-level ontology with a specific semantic definition on relation such as Transitive, Symmetric, Asymmetric, Functional, Reflexive, and Irreflexive. The results of the computation of topological relationships are stored in an OWL-DL ontology allowing after what to infer on these new relationships between objects. In addition, logic rules based on the Semantic Web Rule Language allows the definition of logic programs that define which topological relationships have to be computed on which kind of objects with specific attributes. For instance, a “Building” that overlaps a “Railway” is a “RailStation”.

Paper Citation

in Harvard Style

Ben Hmida H., Cruz C., Boochs F. and Nicolle C. (2012). From 9-IM Topological Operators to Qualitative Spatial Relations using 3D Selective Nef Complexes and Logic Rules for Bodies . In Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012) ISBN 978-989-8565-30-3, pages 208-213. DOI: 10.5220/0004135702080213

in Bibtex Style

@conference{keod12,
author={Helmi Ben Hmida and Christophe Cruz and Frank Boochs and Christophe Nicolle},
title={From 9-IM Topological Operators to Qualitative Spatial Relations using 3D Selective Nef Complexes and Logic Rules for Bodies},
booktitle={Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012)},
year={2012},
pages={208-213},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004135702080213},
isbn={978-989-8565-30-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Knowledge Engineering and Ontology Development - Volume 1: KEOD, (IC3K 2012)
TI - From 9-IM Topological Operators to Qualitative Spatial Relations using 3D Selective Nef Complexes and Logic Rules for Bodies
SN - 978-989-8565-30-3
AU - Ben Hmida H.
AU - Cruz C.
AU - Boochs F.
AU - Nicolle C.
PY - 2012
SP - 208
EP - 213
DO - 10.5220/0004135702080213