Geodesic
Jordan Curves in the Digital Plane
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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We discuss certain interrelated pretopologies on the digital plane $ℤ^2$ including the Khalimsky topology and several other topologies on $ℤ^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $ℤ^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.
Classification : Primary 52C99; Secondary 54B15, 68C05 
@article{BMMS_2014_37_2_a0,
     author = {Josef \v{S}lapal},
     title = {Jordan {Curves} in the {Digital} {Plane}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a0/}
}
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%J Bulletin of the Malaysian Mathematical Society
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Josef Šlapal. Jordan Curves in the Digital Plane. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2014_37_2_a0/