Digital Reaction-Diffusion System--A Foundation of Bio-Inspired Texture Image Processing--

This paper presents a digital reaction-diffusion system (DRDS)—a model of a discrete-time discrete-space reaction-diffusion dynamical system—for designing new image processing algorithms inspired by biological pattern formation phenomena. The original idea is based on the Turing’s model of pattern formation which is widely known in mathematical biology. We first show that the Turing’s morphogenesis can be understood by analyzing the pattern forming property of the DRDS within the framework of multidimensional digital signal processing theory. This paper also describes the design of an adaptive DRDS for image processing tasks, such as enhancement and restoration of fingerprint images. key words: reaction-di usion system, pattern formation, digital