Title: Towards a unifed approach between digitizations of linear objects and discrete analytical objects
Authors: Lincke, C.
Wüthrich, C. A.
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. 124-131.
Issue Date: 2000
Publisher: University of West Bohemia
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2000/Papers_2000/W3.pdf.gz
ISBN: 80-7082-612-6
Keywords: diskrétní geometrie;n-dimenzionální rastrová grafika;digitalizace;morfologie;aritmetická geometrie;diskrétní analytické objekty;polyedrické množiny;konvexní lineární objekty
Keywords in different language: discrete geometry;n-dimensional raster graphics;digitization;morphology;arithmetical geometry;discrete analytical objects;polyhedral sets;convex linear objects
Abstract: This paper compares the traditional digitization method as used in Computer Graphics with the arithmetical geometry approach. Digitizations are interpreted as the set of grid points contained in the dilation of a continuous object and a re ected basic domain. We investigate the supercover and derive its analytical description for analytical objects. We prove that the supercover of a convex linear object is a discrete analytical object and provide methods to determine the inequalities de ning the supercover.
Rights: © University of West Bohemia
Appears in Collections:WSCG '2000: Conference proceeding

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