Publication detail

A digital 3D Jordan-Brouwer separation theorem

ŠLAPAL, J.

English title

A digital 3D Jordan-Brouwer separation theorem

Type

journal article in Web of Science

Language

en

Original 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

English 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

Keywords in English

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

Released

25.10.2024

Publisher

Ovidius University Constanta

Location

Constanta

ISSN

1224-1784

Volume

32

Number

3

Pages from–to

161–172

Pages count

10

BIBTEX


@article{BUT190036,
  author="Josef {Šlapal},
  title="A digital 3D Jordan-Brouwer separation theorem",
  year="2024",
  volume="32",
  number="3",
  month="October",
  pages="161--172",
  publisher="Ovidius University Constanta",
  address="Constanta",
  issn="1224-1784"
}