Publication Details

Structuring digital spaces by path-partition

ŠLAPAL, J. Structuring digital spaces by path-partition. In Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. Lecture Notes in Computer Science. Lecture Notes in Computer Science. Berlin: Springer Verlag, 2017. p. 43-55. ISBN: 978-3-319-54608-7. ISSN: 0302-9743.
Czech title
Strukturování digitálních prostorů uzávěrovými operátory indukovanými rozklady množiny cest v grafech
Type
conference paper
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc. (IM DAAG)
URL
Keywords

Closure operator, path-partition in a graph, digital space.

Abstract

We study closure operators on graphs which are induced by path partitions, i.e., certain sets of paths of the same lengths in these graphs. We investigate connectedness with respect to the closure operators studied. In particular, the closure operators are discussed that are induced by path partitions of some natural graphs on the digital spaces Z^n, n > 0 a natural number. For the case n = 2, i.e., for the digital plane Z^2, the induced closure operators are shown to satisfy an analogue of the Jordan curve theorem which allows using them as convenient background structures for studying digital images.

Published
2017
Pages
43–55
Journal
Lecture Notes in Computer Science, vol. 10149, no. 3, ISSN 0302-9743
Proceedings
Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications
Series
Lecture Notes in Computer Science
ISBN
978-3-319-54608-7
Publisher
Springer Verlag
Place
Berlin
DOI
10.1007/978-3-319-54609-4_3
UT WoS
000426199400003
EID Scopus
2-s2.0-85015918605
BibTeX 
@inproceedings{BUT144421,
  author="Josef {Šlapal}",
  title="Structuring digital spaces by path-partition",
  booktitle="Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications",
  year="2017",
  series="Lecture Notes in Computer Science",
  journal="Lecture Notes in Computer Science",
  volume="10149",
  number="3",
  pages="43--55",
  publisher="Springer Verlag",
  address="Berlin",
  doi="10.1007/978-3-319-54609-4\{_}3",
  isbn="978-3-319-54608-7",
  issn="0302-9743",
  url="https://link.springer.com/chapter/10.1007/978-3-319-54609-4_3"
}
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