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A Generic Approach for n-Dimensional Digital Lines

  • Fabien Feschet
  • Jean-Pierre Reveillès
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4245)

Abstract

In this paper, we provide an unified view of two definitions of digital lines in 3D via the use of lattice theory and specific projections of the lattice ℤ3. We use this unified vision to explain the extension of the definition of Voss [1] to an arbitrary dimension and we show how to extend the definition of Figueiredo and Reveillès [2] to an arbitrary dimension.

Keywords

Direction Vector Arbitrary Dimension Lattice Theory Fundamental Domain Integer Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Fabien Feschet
    • 1
  • Jean-Pierre Reveillès
    • 1
  1. 1.LAIC LaboratoryIUT Clermont-FerrandAubièreFrance

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