Canonical coordinates for retino-cortical magnification

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Abstract

A geometric model for a biologically-inspired visual front-end is proposed, based on an isotropic, scale-invariant two-form ¿eld. The model incorporates a foveal property typical of biological visual systems, with an approximately linear decrease of resolution as a function of eccentricity, and by a physical size constant that measures the radius of the geometric foveola, the central region characterized by maximal resolving power. It admits a description in singularity-free canonical coordinates generalizing the familiar log-polar coordinates and reducing to these in the asymptotic case of negligibly-sized geometric foveola or, equivalently, at peripheral locations in the visual ¿eld. It has predictive power to the extent that quantitative geometric relationships pertaining to retino-cortical magni¿cation along the primary visual pathway, such as receptive ¿eld size distribution and spatial arrangement in retina and striate cortex, can be deduced in a principled manner. The biological plausibility of the model is demonstrated by comparison with known facts of human vision. Keywords: foveal vision; retino-cortical magni¿cation; resolution; log-polar coordinates
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages12
Publication statusPublished - 2014

Publication series

NameCASA-report
Volume1405
ISSN (Print)0926-4507

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Florack, L. M. J. (2014). Canonical coordinates for retino-cortical magnification. (CASA-report; Vol. 1405). Eindhoven: Technische Universiteit Eindhoven.