Relation-induced connectedness in the digital plane

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F18%3APU126011" target="_blank" >RIV/00216305:26230/18:PU126011 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.fit.vutbr.cz/research/pubs/all.php?id=11754" target="_blank" >http://www.fit.vutbr.cz/research/pubs/all.php?id=11754</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00010-017-0508-5" target="_blank" >10.1007/s00010-017-0508-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Relation-induced connectedness in the digital plane

Popis výsledku v původním jazyce

We introduce and discuss a connectedness induced by n-ary relations (n > 1 an integer) on their underlying sets. In particular, we focus on certain n-ary relations with the induced connectedness allowing for a definition of digital Jordan curves. For every integer n > 1, we introduce one such n-ary relation on the digital plane Z2 and prove a digital analogue of the Jordan curve theorem for the induced connectedness. It follows that these n-ary relations may be used as convenient structures on the digital plane for the study of geometric properties of digital images. For n = 2, such a structure coincides with the (specialization order of the) Khalimsky topology and, for n > 2, it allows for a variety of Jordan curves richer than that provided by the Khalimsky topology.

Název v anglickém jazyce

Relation-induced connectedness in the digital plane

Popis výsledku anglicky

We introduce and discuss a connectedness induced by n-ary relations (n > 1 an integer) on their underlying sets. In particular, we focus on certain n-ary relations with the induced connectedness allowing for a definition of digital Jordan curves. For every integer n > 1, we introduce one such n-ary relation on the digital plane Z2 and prove a digital analogue of the Jordan curve theorem for the induced connectedness. It follows that these n-ary relations may be used as convenient structures on the digital plane for the study of geometric properties of digital images. For n = 2, such a structure coincides with the (specialization order of the) Khalimsky topology and, for n > 2, it allows for a variety of Jordan curves richer than that provided by the Khalimsky topology.

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

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

AEQUATIONES MATHEMATICAE

ISSN

0001-9054

e-ISSN

1420-8903

Svazek periodika

2018

Číslo periodika v rámci svazku

95

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

16

Strana od-do

75-90

Kód UT WoS článku

000419962100005

EID výsledku v databázi Scopus

2-s2.0-85029519228