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On the irreversibility of Moore cellular automata over the ternary field and image application

机译:三元场上摩尔细胞自动机的不可逆性及图像应用

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摘要

Cellular automata have rich computational properties and provide many models in mathematical and physical processes. In this paper, one of the most commonly used neighborhood types of two dimensional (2D) cellular automata which is called the Moore neighborhood in two dimensional integer lattice is considered. We study the characterization of 2D linear cellular automata defined by the Moore neighborhood with periodic and null boundary conditions over ternary fields. Furthermore, we analyze some results of 2D cellular automata defined by the rule number 9840NB and finally also present applications to error correcting codes and image processing field.
机译:元胞自动机具有丰富的计算属性,并在数学和物理过程中提供了许多模型。在本文中,考虑了二维(2D)细胞自动机的最常用邻域类型之一,即二维整数晶格中的Moore邻域。我们研究了由摩尔邻域定义的二维线性元胞自动机的特征,其中三元域上具有周期性和空边界条件。此外,我们分析了由规则编号9840NB定义的2D细胞自动机的一些结果,并最终还将其应用于纠错码和图像处理领域。

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