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. © 2011 Springer-Verlag.
CITATION STYLE
Roussillon, T., & Lachaud, J. O. (2011). Delaunay properties of digital straight segments. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6607 LNCS, pp. 308–319). https://doi.org/10.1007/978-3-642-19867-0_26
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