# Characterization of the Closest Discrete Approximation of a Line in the 3-Dimensional 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.
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Conference papers

Cited literature [14 references]

https://hal-lirmm.ccsd.cnrs.fr/lirmm-00135626
Contributor : Jean-Luc Toutant <>
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### Citation

Jean-Luc Toutant. Characterization of the Closest Discrete Approximation of a Line in the 3-Dimensional Space. ISVC: International Symposium on Visual Computing, Nov 2006, Lake Tahoe, NV, United States. pp.618-627, ⟨10.1007/11919476_62⟩. ⟨lirmm-00135626⟩

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