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arXiv · 0808.1470

Encompression Using Two-dimensional Cellular Automata Rules

Sudhakar Sahoo·Sanjaya Sahoo·Birendra Kumar Nayak·Pabitra Pal Choudhury
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Abstract

In this paper, we analyze the algebraic structure of some null boundary as well as some periodic boundary 2-D Cellular Automata (CA) rules by introducing a new matrix multiplication operation using only AND, OR instead of most commonly used AND, EX-OR. This class includes any CA whose rule, when written as an algebra, is a finite Abelean cyclic group in case of periodic boundary and a finite commutative cyclic monoid in case of null boundary CA respectively. The concept of 1-D Multiple Attractor Cellular Automata (MACA) is extended to 2-D. Using the family of 2-D MACA and the finite Abelian cyclic group, an efficient encompression algorithm is proposed for binary images.

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Sudhakar Sahoo, Sanjaya Sahoo, Birendra Kumar Nayak, Pabitra Pal Choudhury. 2008-08-11. Encompression Using Two-dimensional Cellular Automata Rules. https://arxiv.org/abs/0808.1470

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