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dc.contributor.authorUgail, Hassan*
dc.contributor.authorAggarwal, A.*
dc.contributor.authorBakopoulos, Y.*
dc.contributor.authorKotsios, S.*
dc.date.accessioned2009-05-14T11:51:13Z
dc.date.available2009-05-14T11:51:13Z
dc.date.issued2008
dc.identifier.citationUgail H, Aggarwal A, Bakopoulos Y et al (2008) The divider set of explicit parametric geometry. In: International Conference on Cyberworlds, 2008. IEEE Computer Society: 232-239. ISBN: 9780769533810.en
dc.identifier.urihttp://hdl.handle.net/10454/2641
dc.description.abstractIn this paper we describe a novel concept for classification of complex parametric geometry based on the concept of the Divider Set. The Divider Set is an alternative concept to maximal disks, Voronoi sets and cut loci. The Divider Set is based on a formal definition relating to topology and differential geometry. In this paper firstly we discuss the formal definition of the Divider Set for complex 3-dimensional geometry. This is then followed by the introduction of a computationally feasible algorithm for computing the Divider Set for geometry which can be defined in explicit parametric form. Thus, an explicit solution form taking advantage of the special form of the parametric geometry is presented. We also show how the Divider Set can be computed for various complex parametric geometry by means of illustrating our concept through a number of examplesen
dc.language.isoenen
dc.publisherIEEE Computer Society.en
dc.relation.isreferencedbyhttps://doi.org/10.1109/CW.2008.43en
dc.rightsCopyright © [2008] IEEE. Reprinted from International Conference on Cyberworlds, 2008. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Bradford's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubspermissions@ ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.en
dc.subjectComplex parametric geometryen
dc.subjectDivider Seten
dc.titleThe divider set of explicit parametric geometryen
dc.status.refereedYesen
dc.typeConference paperen
dc.type.versionPublished versionen
refterms.dateFOA2018-07-18T13:37:19Z


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