Digital Jordan Curves and Surfaces with Respect to a Closure Operator
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU138569" target="_blank" >RIV/00216305:26210/21:PU138569 - isvavai.cz</a>
Result on the web
<a href="https://content.iospress.com/articles/fundamenta-informaticae/fi2013" target="_blank" >https://content.iospress.com/articles/fundamenta-informaticae/fi2013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3233/FI-2021-2013" target="_blank" >10.3233/FI-2021-2013</a>
Alternative languages
Result language
angličtina
Original language name
Digital Jordan Curves and Surfaces with Respect to a Closure Operator
Original language description
In this paper, we propose new definitions of digital Jordan curves and digital Jordan surfaces. We start with introducing and studying closure operators on a given set that are associated with n-ary relations (n > 1 an integer) on this set. Discussed are in particular the closure operators associated with certain n-ary relations on the digital line Z. Of these relations, we focus on a ternary one equipping the digital plane Z(2) and the digital space Z(3) with the closure operator associated with the direct product of two and three, respectively, copies of this ternary relation. The connectedness provided by the closure operator is shown to be suitable for defining digital curves satisfying a digital Jordan curve theorem and digital surfaces satisfying a digital Jordan surface theorem.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fundamenta Informaticae
ISSN
0169-2968
e-ISSN
1875-8681
Volume of the periodical
179
Issue of the periodical within the volume
1
Country of publishing house
PL - POLAND
Number of pages
16
Pages from-to
59-74
UT code for WoS article
000618731100003
EID of the result in the Scopus database
2-s2.0-85101093669