Combinatorial Relations for Digital Pictures

Brimkov, Valentin E.; Moroni, Davide; Barneva, Reneta P.

doi:10.1007/11907350_16

Cited by 7 publications

(3 citation statements)

References 17 publications

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“…Formula for the number of gaps of dimension n − 2 was recently obtained in [17]. Here we extend the results of this last work and exhibit relations to other studies, such as image analysis of surfaces and theory of digital planes.…”

Section: Introductionmentioning

confidence: 77%

“…These notions, that were first introduced in [17], will be instrumental in obtaining our main results.…”

Section: Tandems Gaps and Brimsmentioning

confidence: 98%

“…The author thanks Reneta Barneva and Davide Moroni for their contribution to a conference version of the paper [17] that was reported at the 13th International Conference on Discrete Geometry for Computer Imagery, Szeged, Hungary, October [25][26][27] 2006.…”

Section: Acknowledgementsmentioning

confidence: 99%

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Formulas for the number of (n−2)-gaps of binary objects in arbitrary dimension

Brimkov

2009

Discrete Applied Mathematics

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a b s t r a c tIn this paper we define the notion of a gap in an arbitrary digital binary object S in a digital space of arbitrary dimension. Then we obtain an explicit formula for the number of gaps in S of maximal dimension, derive combinatorial relations for digital curves, and discuss possible applications to image analysis of digital surfaces (in particular planes) and curves.Published by Elsevier B.V.

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Section: Introductionmentioning

confidence: 77%

“…These notions, that were first introduced in [17], will be instrumental in obtaining our main results.…”

Section: Tandems Gaps and Brimsmentioning

confidence: 98%