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On the Connectedness of Rational Arithmetic Discrete Hyperplanes

Abstract : While connected arithmetic discrete lines are entirely char- acterized by their arithmetic thickness, only partial results exist for arith- metic discrete hyperplanes in any dimension. In the present paper, we focus on 0-connected rational arithmetic discrete planes in Z3. Thanks to an arithmetic reduction on a given integer vector n, we provide an al- gorithm which computes the thickness of the thinnest 0-connected arith- metic plane with normal vector n.
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Submitted on : Monday, March 28, 2011 - 2:31:57 PM
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Damien Jamet, Jean-Luc Toutant. On the Connectedness of Rational Arithmetic Discrete Hyperplanes. DGCI - Discrete Geometry for Computer Imagery, Oct 2006, Szeged, Hungary, Hungary. pp.223-234. ⟨lirmm-00135621v2⟩



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