Result Details

Adjacencies for recognition of digital Jordan surfaces

ŠLAPAL, J. Adjacencies for recognition of digital Jordan surfaces. Aequationes Mathematicae, 2025, vol. 99, no. 3, p. 989-1001. ISSN: 1420-8903.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM DAAG (FME)
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

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

URL
Published
2025
Pages
989–1001
Journal
Aequationes Mathematicae, vol. 99, no. 3, ISSN 1420-8903
Publisher
Springer
Place
Basel, Switzerland
UT WoS
001319478000001
EID Scopus
2-s2.0-85204783163
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"
}
Departments
Institute of Mathematics (IM)
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