Collinearity and Parallelism are Statistically Significant Second-Order Relations of Complex Cell Responses

Authors:
Norbert Krüger
Affiliations:
Institute für Neuroinformatik, Ruhr-Universität, Universitätsstraße 150, ND 03/72, 44081 Bochum, Germany. E-mail: Email: nkrueger@neuroinformatik.ruhr-uni-bochum.de
Venue:
Neural Processing Letters
Year:
1998

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Abstract

By investigating the second-order statistics of Gabor wavelet responses derived from natural images, we show that collinearity and parallelismare conspicuous relations. We give a precise mathematical characterization of these Gestalt principles by the conditional probability of two responses.Essential for our investigations is a non-linear transformation,initially utilized within the object recognition system [5], which transforms continuous Gabor wavelet responsesinto a binary code indicating the presence or absence oflocal oriented line segments.