Istituto di Scienza e Tecnologie dell'Informazione     
Brimkov V. E., Moroni D., Barneva R. Combinatorial relations for digital pictures. In: Discrete Geometry for Computer Imagery. International Conference DGCI 2006 (Szeged-Hungary, 25-27 October 2006). Proceedings, pp. 189 - 198. Attila Kuba, Laszlo Nyul and Kalman Palagyi (eds.). (Lecture Notes in Computer Science, vol. 4245). Springer Verlag, 2006.
In this paper we define the notion of gap in an arbitrary digital picture S in a digital space of arbitrary dimension. As a main result, we obtain an explicit formula for the number of gaps in S of maximal dimension. We also derive a combinatorial relation for a digital curve.
URL: http://www.springerlink.com/content/n54l28t74k344101/fulltext.pdf
Subject Digital geometry
Digital picture
G.2.1 Combinatorics

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