Publication detail

Adjacencies for recognition of digital Jordan surfaces

ŠLAPAL, J.

English title

Adjacencies for recognition of digital Jordan surfaces

Type

journal article in Web of Science

Language

en

Original abstract

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.

English abstract

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.

Keywords in English

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

Released

20.05.2025

Publisher

Springer

Location

Basel, Switzerland

ISSN

1420-8903

Volume

99

Number

3

Pages from–to

989–1001

Pages count

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"
}