Realizing Visual Functions with the Reaction–Diffusion Mechanism

Stereo Algorithm with Anisotropic Reaction-Diffusion Systems

“…We believe that the common mechanism is reaction-diffusion with the rapid inhibitory diffusion proposed by Turing [16], or the long-range inhibition found in eyes of Limulus. In order to show this, we have built the visual functions of edge detection [53][54][55], segmentation (grouping) [13] and stereo disparity detection [14], explored how the mechanism works, and confirmed how much the mechanism is effective in the visual functions.…”

The Proposal of a Neuron Model in Consideration of Facilitation and Fatigue

“…Let u(i, j, 0) = i j l(i, j), and h(0) = 0, if the system is established as a Bistable System A, region segmentation can be performed ( Figure 6). Nomura et al (16) used the FitzHuge & Nagumo model to perform edge detection and end-point detection by establishing the system as a mono-stable system and using the Turing condition (17) . In their study, a very low input carries out a low output because the input is below the threshold, and a very high input also carries out a low output because of strong inhibition.…”

“…This Bistable System B enables only moderate inputs to carry out high outputs, but extremely low or high inputs produce low outputs. Nomura et al (16) performed region segmentation by establishing the FitzHuge & Nagumo model as a bistable system. In the present study, since Bistable System A is a kind of bistable system, a similar result was obtained.…”

Reaction-Diffusion Algorithm for Vision Systems

“…However, when the two diffusion coefficients are in the condition of D u <<D v , the system self-organizes a static pattern (Turing, 1952;Kondo & Asai, 1995). By choosing appropriate parameter values and finite differences for the discrete version of the FitzHughNagumo type reaction-diffusion equations under D u <<D v , we obtain spatial static patterns (Ebihara et al, 2003a;Nomura et al, 2003). Figure 2 shows numerical results obtained by the reaction-diffusion system of Eqs.…”