In this paper we investigate some properties of digital segments in floor and Hausdorff discretizations. We characterize the Hausdorff discretization of straight lines and we prove that the frequency of digital segment in a digital straight line is continuous and piecewise affine function relatively to the slope. It allows to prove some combinatorial properties of digital segments. In particular we give a new proof of the results in [3,2,8] corresponding to the frequencies and the numbers of digital segments of size m. © 2008 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Tajine, M. (2008). Digital segments and hausdorff discretization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4958 LNCS, pp. 75–86). Springer Verlag. https://doi.org/10.1007/978-3-540-78275-9_7
Mendeley helps you to discover research relevant for your work.