2D Cellular Automata with an Image Processing Application
S. Uguza, U. Sahinb, I. Siapc and H. Akind
aDepartment of Mathematics, Arts and Science Faculty, Harran University, Sanliurfa, 63120, Turkey
bMulti Agent Biorobotic Laboratory, Rochester Institute of Technology, Rochester, NY, USA
cDepartment of Mathematics, Yildiz Technical University, 34210, Istanbul, Turkey
dDepartment of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey
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This paper investigates the theoretical aspects of two-dimensional linear cellular automata with image applications. We consider geometrical and visual aspects of patterns generated by cellular automata evolution. The present work focuses on the theory of two-dimensional linear cellular automata with respect to uniform: periodic and adiabatic boundary cellular automata conditions. Multiple copies of any arbitrary image corresponding to cellular automata find so many applications in real life situation e.g. textile design, DNA genetics research, etc.

DOI: 10.12693/APhysPolA.125.435
PACS numbers: 02.10.Yn, 07.05.Kf, 02.10.Ox