Digital Jordan Curves and Surfaces with Respect to a Closure Operator

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Digital Jordan Curves and Surfaces with Respect to a Closure Operator

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Digital Jordan Curves and Surfaces with Respect to a Closure Operator

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Fundamenta Informaticae

ISSN

0169-2968

e-ISSN

1875-8681

Svazek periodika

179

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

16

Strana od-do

59-74

Kód UT WoS článku

000618731100003

EID výsledku v databázi Scopus

2-s2.0-85101093669