From Local Activity Lemma Beyond the Wave Computation Reaction-diffusion CNN Based Networks

The Local Activity Lemma establishes that "A homogeneous nonconservative medium cannot exhibit complexity unless it is locally active". In this communication, starting from the previous remark we report examples that prove systems with complex local active behavior like Reaction–Diffusion Cellular Nonlinear Networks (RD-CNNs) can work as image processors also in the 3D domain.