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Determining Visible Points in a Three-Dimensional Discrete Space

Grit Thürmer7, 8 Contact Information, Arnault PoussetContact Information and Achille J. -P. BraquelaireContact Information

(7)  CoGVis/MMC - Computer Graphics, Visualization, Man-Machine CommunicationGroup, Faculty of Media, Bauhaus-University Weimar, 99421 Weimar, Germany
(8)  LaBRI - Laboratoire Bordelais de Recherche en Informatique - UMR 5800, University Bordeaux 1, 351, cours de la Libération, 33405 Talence, France
Abstract
A method is proposed which computes the visible points of surfaces in a 3-dimensional discrete space. The occlusion of surface points of an object by other object points is determined by shooting a discrete ray from each surface point towards the center of projection considering the intersection of the ray with other object points. Since the projection of points onto the viewing plane is done by a continuous mapping, additionally to the discrete ray, the location of the continuous projection ray is examined regarding its location to the surface points that are intersected by the discrete ray.

Contact Information Grit Thürmer
Email: thuermer@medien.uni-weimar.de

Contact Information Arnault Pousset
Email: pousset@labri.u-bordeaux.fr

Contact Information Achille J. -P. Braquelaire
Email: braquelaire@labri.u-bordeaux.fr
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