A digital 3D Jordan-Brouwer separation theorem
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Date
2024-10-25
Authors
Šlapal, Josef
ORCID
0000-0001-8843-6842Advisor
Referee
Mark
Journal Title
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Volume Title
Publisher
Ovidius University Constanta
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Abstract
We introduce a connectedness in the digital space Z^3 induced by a quaternary relation. Using this connectedness, we prove a digital 3D Jordan-Brouwer separation theorem for boundary surfaces of the digital polyhedra that may be face-to-face tiled with certain digital tetrahedra in Z^3. An advantage of the digital Jordan surfaces obtained over those given by the Khalimsky
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Citation
Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica. 2024, vol. 32, issue 3, p. 161-172.
https://www.anstuocmath.ro/mathematics/anale2024v3/9_Slapal.pdf
https://www.anstuocmath.ro/mathematics/anale2024v3/9_Slapal.pdf
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Peer-reviewed
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Published version
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Language of document
en
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/