Detail publikačního výsledku

A digital 3D Jordan-Brouwer separation theorem

ŠLAPAL, J.

Originální název

A digital 3D Jordan-Brouwer separation theorem

Anglický název

A digital 3D Jordan-Brouwer separation theorem

Druh

Článek WoS

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 topology is that the former may bend at the acute dihedral angle pi/4.

Anglický 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 topology is that the former may bend at the acute dihedral angle pi/4.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

ŠLAPAL, J.

Rok RIV

2025

Vydáno

25.10.2024

Nakladatel

Ovidius University Constanta

Periodikum

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

Svazek

32

Číslo

3

Stát

Rumunsko

Strany od

161

Strany do

172

Strany počet

12

URL

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

Plný text v Digitální knihovně

http://hdl.handle.net/11012/252168

BibTex

@article{BUT190036,
  author="Josef {Šlapal}",
  title="A digital 3D Jordan-Brouwer separation theorem",
  journal="Analele Universităţii {"}Ovidius{"} Constanţa. Seria Matematică",
  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"
}