Unconstrained Isosurface Extraction on Arbitrary Octrees

dc.contributor.authorKazhdan, Michaelen_US
dc.contributor.authorKlein, Allisonen_US
dc.contributor.authorDalal, Ketanen_US
dc.contributor.authorHoppe, Huguesen_US
dc.contributor.editorAlexander Belyaev and Michael Garlanden_US
dc.date.accessioned2014-01-29T09:43:11Z
dc.date.available2014-01-29T09:43:11Z
dc.date.issued2007en_US
dc.description.abstractThis paper presents a novel algorithm for generating a watertight level-set from an octree. We show that the level- set can be efficiently extracted regardless of the topology of the octree or the values assigned to the vertices. The key idea behind our approach is the definition of a set of binary edge-trees derived from the octree s topology. We show that the edge-trees can be used define the positions of the isovalue-crossings in a consistent fashion and to resolve inconsistencies that may arise when a single edge has multiple isovalue-crossings. Using the edge-trees, we show that a provably watertight mesh can be extracted from the octree without necessitating the refinement of nodes or modification of their values.en_US
dc.description.seriesinformationGeometry Processingen_US
dc.identifier.isbn978-3-905673-46-3en_US
dc.identifier.issn1727-8384en_US
dc.identifier.urihttps://doi.org/10.2312/SGP/SGP07/125-133en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Boundary Representationsen_US
dc.titleUnconstrained Isosurface Extraction on Arbitrary Octreesen_US
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