A generic approach for n-dimensional digital lines

  • Authors:
  • Fabien Feschet;Jean-Pierre Reveillès

  • Affiliations:
  • LAIC Laboratory, IUT Clermont-Ferrand, Aubière, France;LAIC Laboratory, IUT Clermont-Ferrand, Aubière, France

  • Venue:
  • DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
  • Year:
  • 2006

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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.