An efficient scheme of simple network detection for binary images of the hexagonal grid

An efficient scheme of simple network detection based on the third level of the conjugate classification on the hexagonal grid is investigated in this paper. Constructing operations of simple network detection, it is necessary to collect a set of 34 states as the structuring patterns. To represent the state set, the cellular logic and conjugate computations are illustrated and compared. Because the conjugate computation uses classes to organize structuring patterns, its real implementation is very efficient. For the operation of simple 0 (or 1) network detection, a speed-up ratio 5-7 compared with the same activity performed by a standard implementation of the cellular logic computation, can be observed. Sample pictures and their timing measurements are illustrated