Title: A Morphological Approach to the Voxelization of Solids
Authors: Bærentzen, J. Andreas
Šrámek, Miloš
Christensen, Niels Jørgen
Citation: WSCG '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.
Issue Date: 2000
Publisher: University of West Bohemia
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2000/Papers_2000/T67.pdf.gz
ISBN: 80-7082-612-6
Keywords: voxelizace;morfologie;geometrické modelování;kurvatura;Hesseho normálová forma
Keywords in different language: voxelization;morphology;geometric modelling;curvature;Hesse normal form
Abstract: 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: © University of West Bohemia
Appears in Collections:WSCG '2000: Conference proceeding

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/15427

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