Next Article in Journal
Acknowledgement to Reviewers of Axioms in 2013
Next Article in Special Issue
Ricci Curvature on Polyhedral Surfaces via Optimal Transportation
Previous Article in Journal
On Transcendental Numbers
Open AccessArticle

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
Axioms 2014, 3(1), 70-81;
Received: 4 November 2013 / Revised: 13 February 2014 / Accepted: 14 February 2014 / Published: 24 February 2014
PDF [533 KB, uploaded 24 February 2014]


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. View Full-Text
Keywords: foveal vision; retino-cortical magnification; resolution; log-polar coordinates foveal vision; retino-cortical magnification; resolution; log-polar coordinates

Figure 1

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Share & Cite This Article

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top