Closure operators associated to ternary relations for structuring the digital plane
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU134878" target="_blank" >RIV/00216305:26210/19:PU134878 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/search/searchresult.jsp?newsearch=true&searchWithin=%22First%20Name%22:Josef&searchWithin=%22Last%20Name%22:Slapal" target="_blank" >https://ieeexplore.ieee.org/search/searchresult.jsp?newsearch=true&searchWithin=%22First%20Name%22:Josef&searchWithin=%22Last%20Name%22:Slapal</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ICAMCS.NET46018.2018.00029" target="_blank" >10.1109/ICAMCS.NET46018.2018.00029</a>
Alternative languages
Result language
angličtina
Original language name
Closure operators associated to ternary relations for structuring the digital plane
Original language description
We study closure operators associated to ternary relations. We focus on a certain ternary relation on the digital line Z and discuss the closure operator on the digital plane Z^2 associated to a special product of two copies of the relation. This closure operator is shown to allow for an analogue of the Jordan curve theorem, so that it may be used as a background structure on the digital plane for the study of digital images. An advantage of this closure operator over the Khalimsky topology is shown, too.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2018 International Conference on Applied Mathematics & Computational Science, ICAMCS.NET 2018
ISBN
9781538694695
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
125-128
Publisher name
Institute of Electrical and Electronics Engineers ( IEEE )
Place of publication
Los Alamitos, CA, USA
Event location
Budapest
Event date
Oct 6, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000533569600023