Geodesic
A closure operator for the digital plane
Filomat, Tome 34 (2020) no. 10, p. 3229

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

We introduce and study a closure operator on the digital plane Z2. The closure operator is shown to provide connectedness that allows for a digital analogue of the Jordan curve theorem. This enables using the closure operator for structuring the digital plane in order to study and process digital images. An advantage of the closure operator over the Khalimsky topology on Z2 is demonstrated, too.
DOI : 10.2298/FIL2010229S
Classification : 54A05, 54D05, 68U05
Keywords: Digital plane, closure operator, connectedness, Jordan curve theorem, Khalimsky topology 
Josef Šlapal. A closure operator for the digital plane. Filomat, Tome 34 (2020) no. 10, p. 3229 . doi: 10.2298/FIL2010229S
@article{10_2298_FIL2010229S,
     author = {Josef \v{S}lapal},
     title = {A closure operator for the digital plane},
     journal = {Filomat},
     pages = {3229 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010229S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010229S/}
}
TY  - JOUR
AU  - Josef Šlapal
TI  - A closure operator for the digital plane
JO  - Filomat
PY  - 2020
SP  - 3229 
VL  - 34
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2010229S/
DO  - 10.2298/FIL2010229S
LA  - en
ID  - 10_2298_FIL2010229S
ER  - 
%0 Journal Article
%A Josef Šlapal
%T A closure operator for the digital plane
%J Filomat
%D 2020
%P 3229 
%V 34
%N 10
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2010229S/
%R 10.2298/FIL2010229S
%G en
%F 10_2298_FIL2010229S

Cité par Sources :