Detail publikace

Jordanovy křivky v digitální rovině

ŠLAPAL, J.

Originální název

Jordan curves in the digital plane

Český název

Jordanovy křivky v digitální rovině

Anglický název

Jordan curves in the digital plane

Typ

článek v časopise

Jazyk

en

Originální abstrakt

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

Český abstrakt

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

Anglický abstrakt

We discuss certain interrelated pretopologies on the digital plane $\mathbb Z^2$ including the Khalimsky topology and several other topologies on $\mathbb Z^2$. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they can provide background structures on $\mathbb Z^2$ convenient for the study of geometric and topological properties of two-dimensional digital images.

Klíčová slova

Digital plane, pretopology, undirected simple graph, digital simple closed curve, digital Jordan curve.

Rok RIV

2014

Vydáno

01.01.2014

Místo

USM Penang

Strany od

295

Strany do

310

Strany počet

16