Publication detail

Polyhedral digital Jordan surfaces

ŠLAPAL, J.

English title

Polyhedral digital Jordan surfaces

Type

journal article in Web of Science

Language

en

Original abstract

A pair of adjacencies in the digital space Z^3 for every positive integer is introduced. The adjacencies are finer than the 6-adjacency and coarser than the 26-adjacency, and the connectedness provided by them for recognition of digital Jordan surfaces is used. The surfaces are defined to be boundary surfaces of the digital polyhedra that can be face-to-face tiled with certain digital cubes, triangular prisms, and tetrahedra.

English abstract

A pair of adjacencies in the digital space Z^3 for every positive integer is introduced. The adjacencies are finer than the 6-adjacency and coarser than the 26-adjacency, and the connectedness provided by them for recognition of digital Jordan surfaces is used. The surfaces are defined to be boundary surfaces of the digital polyhedra that can be face-to-face tiled with certain digital cubes, triangular prisms, and tetrahedra.

Keywords in English

adjacency; simple graph; connectedness; 3D face-to-face tiling; digital space; digital Jordan surface

Released

17.03.2025

Publisher

Shahin Digital Publisher

Location

Pakistán

ISSN

2664-2557

Volume

15

Number

1

Pages from–to

46–51

Pages count

6

BIBTEX


@article{BUT197835,
  author="Josef {Šlapal},
  title="Polyhedral digital Jordan surfaces",
  year="2025",
  volume="15",
  number="1",
  month="March",
  pages="46--51",
  publisher="Shahin Digital Publisher",
  address="Pakistán",
  issn="2664-2557"
}