Journey of Cepstral filter from a mathematical function to biological phenomenon used to reconstruct stereoscopic disparity

摘要

This paper gives a new outlook to the Cepstral algorithm. The name seems to be an outdated one, but this is the only unique and interesting algorithm, which is applied on pattern similar to Ocular Dominance Pattern (ODC) in Primate Visual Cortex. Unless the signals from left and right eyes are placed simultaneously, the disparity cannot be detected. Therefore, it has a great significance in the sphere of stereo vision. The paper puts the life back to the existing algorithm. By definition, Cepstral algorithm is power spectrum of log of power spectrum. In the paper, it is shown how the power spectrum can be estimated using Gabor filters. The Gabor filter in itself has the biological resemblance. It is a function used to depict receptive field or simple cell. Other relation used in this paper, is between power spectrum and Gabor energy, whose model is similar to complex cells in Cortex. With Gabor filters analysis on pattern similar to ODC gives the model comparable to biology. The use of Gabor filters in the Cepstral algorithm instead of Fast Fourier Transform (FFT) also eliminates the line which makes the algorithm different from the methods using Gabor filters.