Delaunay Properties of Digital Straight Segments

  • Tristan Roussillon
  • Jacques-Olivier Lachaud
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6607)


We present new results concerning the Delaunay triangulation of the set of points of pieces of digital straight lines. More precisely, we show how the triangulation topology follows the arithmetic decomposition of the line slope as well as its combinatorial decomposition (splitting formula). A byproduct is a linear time algorithm for computing the Delaunay triangulation and the Voronoi diagram of such sets.


Lattice Point Voronoi Diagram Delaunay Triangulation Simple Polygon Continue Fraction Expansion 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Tristan Roussillon
    • 1
  • Jacques-Olivier Lachaud
    • 2
  1. 1.LIRIS, UMR5205Université de Lyon, Université Lyon 2France
  2. 2.LAMA, UMR CNRS 5127Université de SavoieLe Bourget-du-LacFrance

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