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Characterization of the Best Discrete Approximation of a Line in the 3-Dimentional Space

Abstract : The present paper deals with discrete lines in the 3- dimensional space. In particular, we focus on the minimal 0-connected set of closest integer points to a Euclidean line. We propose a definition which leads to geometric, arithmetic and algorithmic characterizations of naive discrete lines in the 3-dimensional space.
keyword : DISCRETE GEOMETRY
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00102872
Contributor : Christine Carvalho de Matos <>
Submitted on : Monday, October 2, 2006 - 5:10:19 PM
Last modification on : Thursday, May 24, 2018 - 3:59:20 PM
Long-term archiving on: : Monday, April 5, 2010 - 11:33:29 PM

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  • HAL Id : lirmm-00102872, version 1

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Jean-Luc Toutant. Characterization of the Best Discrete Approximation of a Line in the 3-Dimentional Space. [Research Report] RR-06048, Lirmm. 2006, 10 p. ⟨lirmm-00102872⟩

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