A digital 3D Jordan-Brouwer separation theorem
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Šlapal, Josef
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Mark
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Ovidius University Constanta
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0000-0001-8843-6842 Altmetrics
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
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
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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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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en
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