PMID: 3214650Jan 1, 1988Paper

A two dimensional field theory for motion computation. First order approximation; translatory motion of rigid patterns

Biological cybernetics
W Reichardt, R W Schlögl

Abstract

The local extraction of motion information from brightness patterns by individual movement detectors of the correlation-type is considered in the first part of the paper. A two-dimensional field theory of movement detection is developed by treating the distance between two adjacent photoreceptors as a differential. In the first approximation of the theory we only consider linear terms of the time interval between the reception of a contrast element and its delayed representation by the detector and linear terms of the spatial distances between adjacent photoreceptors. As a result we may neglect terms of higher order than quadratic in a Taylor series development of the brightness pattern. The responses of pairs of individual movement detectors are combined to a local response vector. In the first approximation of the detector field theory the response vector is proportional to the instantaneous pattern velocity vector and linearly dependent on local properties of the moving pattern. The linear dependence on pattern properties is represented by a two by two tensor consisting of elements which are nonlinear, local functionals of the moving pattern. Some of the properties of the tensor elements are treated in detail. So, for instan...Continue Reading

Citations

Nov 8, 2013·Biological cybernetics·Tony Lindeberg
Apr 18, 2017·Proceedings of the Japan Academy. Series B, Physical and Biological Sciences·Akihiro Matsumoto, Masao Tachibana
Feb 1, 1990·Journal of the Optical Society of America. A, Optics and Image Science·H Glünder
Apr 1, 1994·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·H P Snippe, J J Koenderink
Feb 1, 1997·Science in China. Series C, Life Sciences·A GuoX Yang
Jan 1, 1990·Biological cybernetics·P Werkhoven, J J Koenderink
Jan 1, 1992·Biological cybernetics·K N Gurney, M J Wright
Jun 11, 2020·Scientific Reports·Shuhei TakanoSatoshi Shioiri
Apr 1, 1993·Comparative Biochemistry and Physiology. Comparative Physiology·M Egelhaaf, A Borst

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