On the rectangular grid representation of general CNN networks
András G. Radványi · International Journal of Circuit Theory and Applications · 2002
Abstract Although the cellular neural paradigm in its original form provides a suitable framework for investigating problems defined on arbitrary regular grids, the chips—ready ones or under design—as well as the available simulators are all restricted to a rectangular structure. It is not at all self‐evident, however, that the rectangular structure is the most suitable to represent every practical problem. In this paper we demonstrate that several cellular neural networks of various regular grids can be mapped onto the typical eight‐neighbour rectangular one, by applying weight matrices of periodic space variance. By adopting this option, the applicability of cellular neural chips and simulators can be extended to investigate and solve problems of essentially arbitrary grid structures. Copyright © 2002 John Wiley & Sons, Ltd.