Detail publikačního výsledku

Adjacencies for recognition of digital Jordan surfaces

ŠLAPAL, J.

Originální název

Adjacencies for recognition of digital Jordan surfaces

Anglický název

Adjacencies for recognition of digital Jordan surfaces

Druh

Článek WoS

Originální abstrakt

For every positive integer, we introduce an adjacency in the digital space Z^3. Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.

Anglický abstrakt

For every positive integer, we introduce an adjacency in the digital space Z^3. Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.

Klíčová slova

Adjacency, Simple graph, Connectedness, Face-to-face tiling, Digital space, Digital Jordan surface.

Klíčová slova v angličtině

Adjacency, Simple graph, Connectedness, Face-to-face tiling, Digital space, Digital Jordan surface.

Autoři

ŠLAPAL, J.

Vydáno

20.05.2025

Nakladatel

Springer

Místo

Basel, Switzerland

ISSN

1420-8903

Periodikum

Aequationes Mathematicae

Svazek

99

Číslo

3

Stát

Švýcarská konfederace

Strany od

989

Strany do

1001

Strany počet

13

URL

https://link.springer.com/article/10.1007/s00010-024-01123-8

BibTex

@article{BUT197947,
  author="Josef {Šlapal}",
  title="Adjacencies for recognition of digital Jordan surfaces",
  journal="Aequationes Mathematicae",
  year="2025",
  volume="99",
  number="3",
  pages="989--1001",
  issn="0001-9054",
  url="https://link.springer.com/article/10.1007/s00010-024-01123-8"
}