Forma, Vol. 23 (No. 1), pp. 19-23, 2008

Self-Organized Feature Extraction in a Three-Dimensional Discrete Reaction-Diffusion System

Kazuyuki Miura*, Atsushi Osa and Hidetoshi Miike

Graduate School of Science and Engineering, Yamaguchi University, 2-16-1 Tokiwadai, Ube, Yamaguchi 755-8611, Japan
*E-mail address:

(Received August 19, 2008; Accepted October 24, 2008)

Keywords: FitzHugh-Nagumo Model, Edge Detection, Turing Pattern

Abstract. We investigated self-organized patterns formed by a FitzHugh-Nagumo model in three-dimensional space. We found functional orders in the model. The edge plane structure was autonomously extracted from an initial cubic pattern. As in a two-dimensional model, the edge points and edge lines developed spontaneously in this model. These edge structures were obtained when parameters were in a specific region. We can interpret that the reaction-diffusion system has a function of self-organized feature extraction when the model is in a discrete condition of space.

[Full text] (PDF 1 MB)