How to Obtain a Lattice Basis from a Discrete Projected Space
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.
KeywordsProjection Matrix Discrete Space Riesz Basis Projection Direction Continuous Space
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