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dc.contributor.authorBarba, Luis
dc.contributor.authorKorman Cozzetti, Matías
dc.contributor.authorLangerman, Stefan
dc.contributor.authorSilveira, Rodrigo Ignacio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.identifier.citationBarba, L. [et al.]. Computing a visibility polygon using few variables. "Computational geometry: theory and applications", 01 Octubre 2014, vol. 47, núm. 9, p. 918-926.
dc.description.abstractWe present several algorithms for computing the visibility polygon of a simple polygon P of n vertices (out of which r are reflex) from a viewpoint inside P, when P resides in read-only memory and only few working variables can be used. The first algorithm uses a constant number of variables, and outputs the vertices of the visibility polygon in O (n (r) over bar) time, where (r) over bar denotes the number of reflex vertices of P that are part of the output. Whenever we are allowed to use O(s) variables, the running time decreases to O (nr/2(s) + n log(2) r) (or O (nr/2(s) + n log r) randomized expected time), where s is an element of O (log r). This is the first algorithm in which an exponential space-time trade-off for a geometric problem is obtained. (C) 2014 Elsevier B.V. All rights reserved.
dc.format.extent9 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subject.lcshComputational geometry
dc.subject.otherComputational geometry
dc.subject.otherMemory-constrained algorithms
dc.subject.otherTime-space-trade-off visibility
dc.subject.otherSimple polygon
dc.subject.otherLIMITED STORAGE
dc.titleComputing a visibility polygon using few variables
dc.subject.lemacGeometria computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta
dc.description.peerreviewedPeer Reviewed
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/251235/EU/Mathematical Foundations of High-Quality Terrain Models/MFHQTERRAINS
upcommons.citation.authorBarba, L.; Korman, M.; Langerman, S.; Silveira, R.I.
upcommons.citation.publicationNameComputational geometry: theory and applications

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