Axioms 2014, 3(1), 70-81; doi:10.3390/axioms3010070

Canonical Coordinates for Retino-Cortical Magnification

Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, Eindhoven NL-5600 MB, The Netherlands
Received: 4 November 2013; in revised form: 13 February 2014 / Accepted: 14 February 2014 / Published: 24 February 2014
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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 field. 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 field. It has predictive power to the extent that quantitative geometric relationships pertaining to retino-cortical magnification along the primary visual pathway, such as receptive field 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 magnification; resolution; log-polar coordinates

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MDPI and ACS Style

Florack, L. Canonical Coordinates for Retino-Cortical Magnification. Axioms 2014, 3, 70-81.

AMA Style

Florack L. Canonical Coordinates for Retino-Cortical Magnification. Axioms. 2014; 3(1):70-81.

Chicago/Turabian Style

Florack, Luc. 2014. "Canonical Coordinates for Retino-Cortical Magnification." Axioms 3, no. 1: 70-81.

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