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Design and Comparison of Lattices of Topological Relations for Spatial Representation and Reasoning

Identifieur interne : 009665 ( Main/Exploration ); précédent : 009664; suivant : 009666

Design and Comparison of Lattices of Topological Relations for Spatial Representation and Reasoning

Auteurs : Florence Le Ber [France] ; Ludmila Mangelinck ; Amedeo Napoli [France]

Source :

RBID : Hal:inria-00072266

English descriptors

Abstract

This report presents an original approach to spatial representation and reasoning with topological relations based on the use of lattices of relations- . This approach has been developed for spatial reasoning in the domain of agricultural landscape analysis. The report describes first the motivation of the present research work and the general framework of topological relations. Four different lattices of topological relations, including Galois lattices, are introduced. The choices made for spatial representation and reasoning with these lattices are discussed, together with a thorough study and comparison of the four lattices. The implementation of one of the lattices within an object-based representation system, as well as spatial lattice-based reasoning with topological relations in this system are then detailed.

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Le document en format XML

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<tutelle active="#struct-2496" type="direct">
<org type="laboratory" xml:id="struct-2496" status="OLD">
<orgName>INRIA Lorraine</orgName>
<desc>
<address>
<addrLine>615 rue du Jardin Botanique 54600 Villers-lès-Nancy</addrLine>
<country key="FR"></country>
</address>
<ref type="url">http://www.inria.fr/centre-de-recherche-inria/nancy-grand-est</ref>
</desc>
<listRelation>
<relation active="#struct-300009" type="direct"></relation>
</listRelation>
</org>
</tutelle>
</tutelles>
</hal:affiliation>
<country>France</country>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université Nancy 2</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
<placeName>
<settlement type="city">Nancy</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Institut national polytechnique de Lorraine</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Lorraine</orgName>
</affiliation>
</author>
</analytic>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="mix" xml:lang="en">
<term>galois connection</term>
<term>lattice-based classification</term>
<term>object-based representation systems</term>
<term>raster images</term>
<term>relation computation</term>
<term>topological relations</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">This report presents an original approach to spatial representation and reasoning with topological relations based on the use of lattices of relations- . This approach has been developed for spatial reasoning in the domain of agricultural landscape analysis. The report describes first the motivation of the present research work and the general framework of topological relations. Four different lattices of topological relations, including Galois lattices, are introduced. The choices made for spatial representation and reasoning with these lattices are discussed, together with a thorough study and comparison of the four lattices. The implementation of one of the lattices within an object-based representation system, as well as spatial lattice-based reasoning with topological relations in this system are then detailed.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>France</li>
</country>
<region>
<li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement>
<li>Nancy</li>
</settlement>
<orgName>
<li>Institut national polytechnique de Lorraine</li>
<li>Université Nancy 2</li>
<li>Université de Lorraine</li>
</orgName>
</list>
<tree>
<noCountry>
<name sortKey="Mangelinck, Ludmila" sort="Mangelinck, Ludmila" uniqKey="Mangelinck L" first="Ludmila" last="Mangelinck">Ludmila Mangelinck</name>
</noCountry>
<country name="France">
<region name="Grand Est">
<name sortKey="Le Ber, Florence" sort="Le Ber, Florence" uniqKey="Le Ber F" first="Florence" last="Le Ber">Florence Le Ber</name>
</region>
<name sortKey="Napoli, Amedeo" sort="Napoli, Amedeo" uniqKey="Napoli A" first="Amedeo" last="Napoli">Amedeo Napoli</name>
</country>
</tree>
</affiliations>
</record>

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