Title: A morphological approach to the voxelization of solids
Authors: Bærentzen, J. Andreas
Šrámek, Miloš
Christensen, Niels Jørgen
Citation: Journal of WSCG. 2000, vol. 8, no. 1-3.
Issue Date: 2000
Publisher: Václav Skala - UNION Agency
Document type: článek
URI: http://wscg.zcu.cz/wscg2000/wscg_2000_program.htm
ISSN: 1213-6972 (print)
1213-6980 (CD-ROM)
1213-6964 (online)
Keywords: voxelizace;morfologie;geometrické modelování;zakřivení;Hesseho normálová forma
Keywords in different language: voxelization;morphology;geometric modelling;curvature;Hesse normal form
Abstract in different language: In 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.
Rights: © Václav Skala - UNION Agency
Appears in Collections:Volume 8, number 1-3 (2000)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/15955

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