2D periodic CA rules over $\mathbb{Z}_{2}$ and applications of image processing
Selman UǧuzDepartment of Mathematical Sciences, University of Texas at Dallas, Richardson, USAShovkat RedjepovDepartment of Information Technologies, Tashkent University of Information Technologies, Tashkent, UzbekistanUğur ŞahinMulti Agent Bio-robotic Laboratory, Rochester Institute of Technology, New York, USA
2020 International Conference on Information Science and Communications Technologies (ICISCT)conference2020en
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This work deals with the theory 2-dimensional (2D), uniform periodic boundary replications cellular automata (2D PB CA) of linear rules with applications of image processing science. We investigate a 2D CA with PB over the binary field ℤ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> case, i.e. 2-state spin case. It is also studied image applications corresponding for the linear (additive) rules of uniform 2D CA PB over binary field (two-states) ℤ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> .
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