On the linear increase of receptive field size as a function of eccentricity

Tony Lindeberg and Luc Florack

Technical report, Department of Numerical Analysis and Computing Science, Royal Institute of Technology, S-100 44 Stockholm, Sweden, Oct. 1992. (ISRN KTH NA/P--92/29--SE)

Abstract

This article shows how certain natural considerations based on an a priori equivalence of scales (self-similarity) combined with a fixed read-out processing capacity imply a linear increase of minimum receptive field size as a function of eccentricity in a foveal front-end vision system. The linear increase in receptive field size is a direct consequence of the scale-space axioms without any assumptions of a specific sampling along the scale direction. These considerations hold independent of spatial dimension.

Keywords: retina, receptive field, visual front-end, fovea, scale-space, multi-scale representation, resolution, computer vision.

Extended version

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Tony Lindeberg