Asynchronous Computing of a Discrete Voronoi Diagram on a Cellular Automaton Using 1-Norm: Application to Roadmap Extraction
Identifieur interne : 000880 ( Main/Exploration ); précédent : 000879; suivant : 000881Asynchronous Computing of a Discrete Voronoi Diagram on a Cellular Automaton Using 1-Norm: Application to Roadmap Extraction
Auteurs : Nassim Kaldé [France] ; Olivier Simonin [France] ; François Charpillet [France]Source :
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Abstract
This article addresses the problem of computinga Voronoi diagram in a distributed fashion without anysynchronization heuristic. To our knowledge, no previouswork asynchronously solves this problem. We investigate asimple case of asynchronism and tackle this challenge in adecentralized fashion on a grid of communicating cells witha von Neumann neighborhood. We describe algorithms forextracting single site, area and pseudo line Voronoi diagrams.These algorithms are implemented and executed on maps inwhich we consider different kinds of sites defined as simplepolygonal shapes to extract roadmaps.
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CS 25233 - 54052 Nancy cedex</addrLine><country key="FR"></country></address><ref type="url">http://www.univ-lorraine.fr/</ref></desc></org></tutelle><tutelle name="UMR7503" active="#struct-441569" type="indirect"><org type="institution" xml:id="struct-441569" status="VALID"><idno type="ISNI">0000000122597504</idno><idno type="IdRef">02636817X</idno><orgName>Centre National de la Recherche Scientifique</orgName><orgName type="acronym">CNRS</orgName><date type="start">1939-10-19</date><desc><address><country key="FR"></country></address><ref type="url">http://www.cnrs.fr/</ref></desc></org></tutelle></tutelles></hal:affiliation><country>France</country><placeName><settlement type="city">Nancy</settlement><settlement type="city">Metz</settlement><region type="region" nuts="2">Grand Est</region><region type="old region" nuts="2">Lorraine (région)</region></placeName><orgName type="university">Université de Lorraine</orgName></affiliation></author></analytic></biblStruct></sourceDesc></fileDesc><profileDesc><textClass><keywords scheme="mix" xml:lang="en"><term>Voronoi diagram</term><term>asynchronous computing</term><term>cellular automata</term><term>distributed systems</term><term>spatial computing</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">This article addresses the problem of computinga Voronoi diagram in a distributed fashion without anysynchronization heuristic. To our knowledge, no previouswork asynchronously solves this problem. We investigate asimple case of asynchronism and tackle this challenge in adecentralized fashion on a grid of communicating cells witha von Neumann neighborhood. We describe algorithms forextracting single site, area and pseudo line Voronoi diagrams.These algorithms are implemented and executed on maps inwhich we consider different kinds of sites defined as simplepolygonal shapes to extract roadmaps.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Kalde, Nassim" sort="Kalde, Nassim" uniqKey="Kalde N" first="Nassim" last="Kaldé">Nassim Kaldé</name></region><name sortKey="Charpillet, Francois" sort="Charpillet, Francois" uniqKey="Charpillet F" first="François" last="Charpillet">François Charpillet</name><name sortKey="Simonin, Olivier" sort="Simonin, Olivier" uniqKey="Simonin O" first="Olivier" last="Simonin">Olivier Simonin</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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