Detail publikace

Adjacencies for recognition of digital Jordan surfaces

ŠLAPAL, J.

Anglický název

Adjacencies for recognition of digital Jordan surfaces

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

20.05.2025

Nakladatel

Springer

Místo

Basel, Switzerland

ISSN

1420-8903

Ročník

99

Číslo

3

Strany od–do

989–1001

Počet stran

13

BIBTEX


@article{BUT197947,
  author="Josef {Šlapal},
  title="Adjacencies for recognition of digital Jordan surfaces",
  year="2025",
  volume="99",
  number="3",
  month="May",
  pages="989--1001",
  publisher="Springer",
  address="Basel, Switzerland",
  issn="1420-8903"
}