Detail publikace

A digital 3D Jordan-Brouwer separation theorem

ŠLAPAL, J.

Anglický název

A digital 3D Jordan-Brouwer separation theorem

Typ

Článek WoS

Jazyk

en

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.

Klíčová slova anglicky

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

Vydáno

2024-10-25

Nakladatel

Ovidius University Constanta

Časopis

Analele Universităţii "Ovidius" Constanţa. Seria Matematică

Ročník

32

Číslo

3

Strany od–do

161–172

Počet stran

12

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"
}