A closure operator for the digital plane

Josef Slapal

Abstract


We introduce and study a closure operator on the digital plane Z^2. 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 Z^2 is demonstrated, too.

 


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