Journal Article

·2013 OPEN ACCESS

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

Oğuzhan Yavuz YTU , Sadiye Nergis Tural-Polat YTU , Evren Cesur YTU , V. Tavşanoglu YTU

Abstract

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.

Keywords

Filter (signal processing) Computer science Fourier transform Gabor transform Low-pass filter Transfer function Inverse filter Algorithm Inverse Mathematics Artificial intelligence Computer vision Time–frequency analysis Mathematical analysis Geometry Engineering

Subject Areas

Neural Networks Stability and Synchronization ·Computer Networks and Communications ·Physical Sciences
Neural Networks and Applications ·Artificial Intelligence ·Physical Sciences
Cellular Automata and Applications ·Computational Theory and Mathematics ·Physical Sciences