Detail výsledku

A digital 3D Jordan-Brouwer separation theorem

ŠLAPAL, J. A digital 3D Jordan-Brouwer separation theorem. Analele Universităţii "Ovidius" Constanţa. Seria Matematică, 2024, vol. 32, iss. 3, p. 161-172.
Typ
článek v časopise
Jazyk
angličtina
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM OAAG (FSI)
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.

URL
Rok
2024
Strany
161–172
Časopis
Analele Universităţii "Ovidius" Constanţa. Seria Matematică, roč. 32, č. 3, ISSN
Vydavatel
Ovidius University Constanta
DOI
10.2478/auom-2024-0034
UT WoS
001335906900006
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"
}
Soubory
Pracoviště
Ústav matematiky (ÚM)
Nahoru