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

Canonical Coordinates for Retino-Cortical Magnification

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 foveal vision; retino-cortical magnification; resolution; log-polar coordinates
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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