Abstract
Different formulae were proposed in the literature for the number of gaps in digital objects. We give several new formulae for the number of 0-gaps in 2D, based on the known connection between the number of 0-gaps and the Euler characteristic of 2D digital objects. We also present two new, short and intuitive proofs of one of the two known equivalent formulae for the number of gaps in nD digital objects.
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Čomić, L. (2018). On Gaps in Digital Objects. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11255 LNCS, pp. 3–16). Springer Verlag. https://doi.org/10.1007/978-3-030-05288-1_1
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