Detail publikace

A digital 3D Jordan-Brouwer separation theorem

ŠLAPAL, J.

Originální název

A digital 3D Jordan-Brouwer separation theorem

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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

Klíčová slova

Digital space, Digital Jordan surface, Connectedness, Quaternary relation, Digital 3D tiling.

Autoři

ŠLAPAL, J.

Vydáno

25. 10. 2024

Nakladatel

Ovidius University Constanta

Místo

Constanta

ISSN

1224-1784

Periodikum

Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica

Ročník

32

Číslo

3

Stát

Rumunsko

Strany od

161

Strany do

172

Strany počet

10

URL

https://www.anstuocmath.ro/mathematics/anale2024v3/9_Slapal.pdf

BibTex

@article{BUT190036,
  author="Josef {Šlapal}",
  title="A digital 3D Jordan-Brouwer separation theorem",
  journal="Analele Stiintifice Ale Universitatii  Ovidius Constanta, Seria Matematica",
  year="2024",
  volume="32",
  number="3",
  pages="161--172",
  doi="10.2478/auom-2024-0034",
  issn="1224-1784",
  url="https://www.anstuocmath.ro/mathematics/anale2024v3/9_Slapal.pdf"
}