Some Notes on Cellular Logic Operators

Cellular logic machines used for feature extraction in pattern recognition have increased in speed to the point of making it possible to execute programs equivalent to 1 billion general-purpose computer instructions in 1 TV frame time. Unfortunately, most cellular logic operators (CLO's) are designed ad hoc. It is important, therefore, to begin to systematize the generation of algorithms using CLO sequences for pattern analysis. These notes systematically analyze some aspects of CLO's which are used in shape discrimination and idealization and in object counting and sizing. New extensions of subfield numbering schemes in the hexagonal tessellation are introduced.