Abstract
To define regions in digital image we use topological notion of connectivity. This notion refers to the existence and the description of a topology.
Our problem is to prove for different tessallations of the support, the existence and unicity and eventually to describe such topology for which the notion of connectivity will be the same we use in image analysis.
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References
F.Wyse et al, Solution to Problem 5712. Amer Math. Monthly 77, 1970, 1119
A.Rosenfeld, Digital Topology. Amer Math. Monthly oct 1979, 621–630
J.M.Chassery, Connectivity and Consecutivity in Digital Pictures. Comp. Graphics and Image Processing, 9, 1979, 294–300.
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© 1981 D. Reidel Publishing Company
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Chassery, J.M., Chenin, M.I. (1981). Topologies on Discrete Spaces. In: Simon, J.C., Haralick, R.M. (eds) Digital Image Processing. NATO Advanced Study Institutes Series, vol 77. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8543-8_3
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DOI: https://doi.org/10.1007/978-94-009-8543-8_3
Publisher Name: Springer, Dordrecht
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