Binary States Cellular Automata with Reflexive and Periodic Boundaries and Image problem

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Turkish Journal of Mathematics and Computer Science
Volume:9
Binary States Cellular Automata with Reflexive and Periodic Boundaries and Image problem

Binary States Cellular Automata with Reflexive and Periodic Boundaries and Image problem

Authors : Shovkat REDJEPOV, Selman UGUZ

Pages : 14-24

View : 44 | Download : 11

Publication Date : 2018-12-28

Article Type : Research Paper

Abstract :The present paper focuses on the theory of two-dimensional insert ignore into journalissuearticles values(2D); linear cellular automata insert ignore into journalissuearticles values(CA); with respect to uniform reflexive and periodic boundary conditions. It is investigated the theoretical aspects of 2D linear CA over binary states field with image problem. We consider geometrical and visual aspects of images generated by these CA transition rules. Multiple copies of any arbitrary images corresponding to CA can be studied further by considering theses transition rules of von Neumann and Moore CAs. An important note that these special types of CAs can be applied many di ff erent special problems e.g. computability theory, applied mathematics, theoretical chemistry and biology, DNA and genetics research, image science, textile design.
Keywords : Cellular automata, Binary states, Reflexive and periodic boundary

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