Distance between Separating Circles and Points
Identifieur interne : 001F02 ( Istex/Curation ); précédent : 001F01; suivant : 001F03Distance between Separating Circles and Points
Auteurs : Peter Veelaert [Belgique]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: The family of separating circles of two finite sets S 1 and S 2 in the plane consists of all the circles that enclose S 1 but exclude S 2. We prove that the maximum and minimum distance between a point p and any separating circle in this family can be found by examining only a finite subset of circles, although the family itself is infinite. In addition, we introduce the concept of elementary circular separations to clarify some of the properties of separating circles.
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DOI: 10.1007/978-3-642-19867-0_29
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Distance between Separating Circles and Points</title><author><name sortKey="Veelaert, Peter" sort="Veelaert, Peter" uniqKey="Veelaert P" first="Peter" last="Veelaert">Peter Veelaert</name><affiliation wicri:level="1"><mods:affiliation>University College Ghent, Engineering Sciences - Ghent University Association, Schoonmeersstraat 52, B9000, Ghent, Belgium</mods:affiliation><country xml:lang="fr">Belgique</country><wicri:regionArea>University College Ghent, Engineering Sciences - Ghent University Association, Schoonmeersstraat 52, B9000, Ghent</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: Peter.Veelaert@hogent.be</mods:affiliation><country wicri:rule="url">Belgique</country></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:86F278545C2AB649CA17BABF9C1715825B7502CA</idno><date when="2011" year="2011">2011</date><idno type="doi">10.1007/978-3-642-19867-0_29</idno><idno type="url">https://api.istex.fr/ark:/67375/HCB-0H5CPTHT-S/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">001F27</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001F27</idno><idno type="wicri:Area/Istex/Curation">001F02</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Distance between Separating Circles and Points</title><author><name sortKey="Veelaert, Peter" sort="Veelaert, Peter" uniqKey="Veelaert P" first="Peter" last="Veelaert">Peter Veelaert</name><affiliation wicri:level="1"><mods:affiliation>University College Ghent, Engineering Sciences - Ghent University Association, Schoonmeersstraat 52, B9000, Ghent, Belgium</mods:affiliation><country xml:lang="fr">Belgique</country><wicri:regionArea>University College Ghent, Engineering Sciences - Ghent University Association, Schoonmeersstraat 52, B9000, Ghent</wicri:regionArea></affiliation><affiliation wicri:level="1"><mods:affiliation>E-mail: Peter.Veelaert@hogent.be</mods:affiliation><country wicri:rule="url">Belgique</country></affiliation></author></analytic><monogr></monogr><series><title level="s" type="main" xml:lang="en">Lecture Notes in Computer Science</title><idno type="ISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="ISSN">0302-9743</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0302-9743</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: The family of separating circles of two finite sets S 1 and S 2 in the plane consists of all the circles that enclose S 1 but exclude S 2. We prove that the maximum and minimum distance between a point p and any separating circle in this family can be found by examining only a finite subset of circles, although the family itself is infinite. In addition, we introduce the concept of elementary circular separations to clarify some of the properties of separating circles.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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