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dc.contributor.authorBærentzen, J. Andreas
dc.contributor.authorŠrámek, Miloš
dc.contributor.authorChristensen, Niels Jørgen
dc.contributor.editorSkala, Václav
dc.date.accessioned2015-03-30T07:29:36Z
dc.date.available2015-03-30T07:29:36Z
dc.date.issued2000
dc.identifier.citationWSCG '2000: Conference proceeding: The 8th International Conference in Central Europe on Computers Graphics, Visualization and Interaktive Digital Media'2000 in cooperation with EUROGRAPHICS and IFIP WG 5.10: University of West Bohemia, Plzen, Czech republic, February 7 - 10, 2000, p. 44-51.en
dc.identifier.isbn80-7082-612-6
dc.identifier.urihttp://wscg.zcu.cz/wscg2000/Papers_2000/T67.pdf.gz
dc.identifier.urihttp://hdl.handle.net/11025/15427
dc.description.abstractIn this paper we present a new, morphological criterion for determining whether a geometric solid is suitable for voxelization at a given resolution. The criterion embodies two conditions, namely that the curvature of the solid must be bounded and the critical points of the distance field must be at a certain distance from the boundary of the solid. For solids that fulfill this criterion, we present an analytic and an empirical bound for the trilinear reconstruction error. Additionally, we give a theoretical argument as to why the distance field approach to voxelization is more sound than the prefiltering technique. The essence of the argument is that while sampling and interpolation must always introduce some error, the latter method (but not the former) introduces an error in the surface position independently of the sampling.en
dc.format8 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.relation.ispartofseriesWSCG '2000: Conference proceedingen
dc.rights© University of West Bohemiaen
dc.subjectvoxelizacecs
dc.subjectmorfologiecs
dc.subjectgeometrické modelovánícs
dc.subjectkurvaturacs
dc.subjectHesseho normálová formacs
dc.titleA Morphological Approach to the Voxelization of Solidsen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.rights.accessopenAccessen
dc.type.versionpublishedVersionen
dc.subject.translatedvoxelizationen
dc.subject.translatedmorphologyen
dc.subject.translatedgeometric modellingen
dc.subject.translatedcurvatureen
dc.subject.translatedHesse normal formen
dc.type.statusPeer-revieweden
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