3-D spatio-temporal Gabor-type filter implementations with Time-Derivative Cellular Neural Networks

In this paper, a 3-D spatio-temporal Gabor-type filter is implemented using Time-Derivative Cellular Neural Network (TDCNN) structure. To this end, the transfer function of the spatio-temporal filter previously constructed by cascading a CNN spatial filter with a temporal filter is shown to be made equal to that of a band-pass filter obtained using a TDCNN structure having first-order temporal derivative diffusion connections only. By equating the coefficients, we obtain the discrete-space Fourier transforms of the TDCNN templates of the Gabor-type band-pass filter. Taking the inverse Fourier transform yields the TDCNN templates. Simulation results are presented.