Faster ASV decomposition for orthogonal polyhedra, using the extreme vertices model (EVM)

dc.contributor.authorAguilera, Antonio
dc.contributor.authorAyala, Dolors
dc.contributor.editorSkala, Václav
dc.date.accessioned2015-09-22T05:34:57Z
dc.date.available2015-09-22T05:34:57Z
dc.date.issued2000
dc.description.abstract-translatedThe alternating sum of volumes (ASV) decomposition is a widely used technique for converting a b-rep into a CSG model, with all its implicit uses and advantages -like form feature recognition, among others. The obtained CSG tree has convex primitives at its leaf nodes, while the contents of its internal nodes alternate between the setunion and set-difference operators. This paper first shows that the obtained CSG tree T can also be expressed as the regularized Exclusive-OR operation among all the convex primitives at the leaf nodes of T , regardless the structure and internal nodes of T . The importance of this result becomes apparent, for example, with those solid modeling schemes, for which the Exclusive-OR operation can be performed much faster than both the set union and set difference operators. This is the case for the Extreme Vertices Model (EVM) for orthogonal polyhedra. Therefore, this paper is then devoted for applying this result to orthogonal polyhedra, using the Extreme Vertices Model. It also includes a comparision of using this result vs. not-using it when finding the ASV decomposition of orthogonal polyhedra, as well as some practical uses for the ASV decomposition of orthogonal polyhedra.en
dc.format8 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationJournal of WSCG. 2000, vol. 8, no. 1-3.en
dc.identifier.issn1213-6972 (print)
dc.identifier.issn1213-6980 (CD-ROM)
dc.identifier.issn1213-6964 (online)
dc.identifier.urihttp://hdl.handle.net/11025/15817
dc.identifier.urihttp://wscg.zcu.cz/wscg2000/wscg_2000_program.htm
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.relation.ispartofseriesJournal of WSCGen
dc.rights© Václav Skala - UNION Agencycs
dc.rights.accessopenAccessen
dc.subjectobjemové modelovánícs
dc.subjectkonstruktivní prostorová geometriecs
dc.subjectbooleovské operátorycs
dc.subjectASV rozloženícs
dc.subjectfunkce rozpoznávání formycs
dc.subject.translatedsolid modelingen
dc.subject.translatedconstructive solid geometryen
dc.subject.translatedboolean operationsen
dc.subject.translatedASV decompositionen
dc.subject.translatedform feature recognitionen
dc.titleFaster ASV decomposition for orthogonal polyhedra, using the extreme vertices model (EVM)en
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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