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Communication Dans Un Congrès Année : 2005

How to obtain a lattice basis from a discrete projected space

Résumé

Euclidean spaces of dimension n are characterized in discrete spaces by the choice of lattices. The goal of this paper is to provide a simple algorithm finding a lattice onto subspaces of lower dimensions onto which these discrete spaces are projected. This first obtained by depicting a tile in a space of dimension n -- 1 when starting from an hypercubic grid in dimension n. Iterating this process across dimensions gives the final result.
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Dates et versions

hal-00267542 , version 1 (27-03-2008)

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Nicolas Normand, Myriam Servières, Jean-Pierre Guédon. How to obtain a lattice basis from a discrete projected space. Discrete Geometry for Computer Imagery, Apr 2005, Poitiers, France. pp.153-160, ⟨10.1007/b135490⟩. ⟨hal-00267542⟩
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