Detail publikace

Convenient adjacencies for structuring the digital plane

ŠLAPAL, J.

Anglický název

Convenient adjacencies for structuring the digital plane

Typ

Článek WoS

Jazyk

en

Originální abstrakt

We study graphs with the vertex set Z^2 which are subgraphs of the 8- adjacency graph and have the property that certain natural cycles in these graphs are Jordan curves, i.e., separate Z^2 into exactly two connected components. Of these graphs, we determine the minimal ones and study their quotient graphs. The results obtained are used to prove digital analogues of the Jordan curve theorem for several graphs on Z^2. Thus, these graphs are shown to provide background structures on the digital plane Z^2 convenient for studying digital images.

Klíčová slova anglicky

Simple graph, quotient graph, connected set, digital plane, Jordan curve

Vydáno

2015-09-15

Nakladatel

Springer

ISSN

1012-2443

Časopis

ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE

Ročník

75 (2015)

Číslo

1

Strany od–do

69–88

Počet stran

10

BIBTEX


@article{BUT104915,
  author="Josef {Šlapal}",
  title="Convenient adjacencies for structuring the digital plane",
  journal="ANNALS OF MATHEMATICS AND ARTIFICIAL INTELLIGENCE",
  year="2015",
  volume="75 (2015)",
  number="1",
  pages="69--88",
  doi="10.1007/s10472-013-9394-2",
  issn="1012-2443"
}