A sufficient condition for 1D CNNs with antisymmetric templates to perform connected component detection

Global dynamical behavior of one-dimensional cellular neural networks (1D CNNs) with the antisymmetric template A = [s,p, -s] is studied in this paper. Under the assumption that the outputs of the boundary cells are fixed to 1 or -1, a new sufficient condition for such CNNs to perform connected component detection will be presented