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Program Systems: Theory and Applications, 2016, Volume 7, Issue 4, Pages 231–247 (Mi ps238)  

Optimization Methods and Control Theory

A cortical based model for contour completion on the retinal sphere

A. Mashtakova, R. Duitsb

a Ailamazyan Program Systems Institute of RAS
b Eindhoven University of Technology

Abstract: We introduce a natural spherical extension of a well-known contour perception model due to J. Petitot, G. Citti and A. Sarti, which additionally takes into account the spherical nature of the retina. Such a spherical extension was initially proposed by U. Boscain and F. Rossi. We extend their model by taking into account a relevant anisotropy parameter controlling the stiffness of optimal spherical contours, and an external cost modeling the non-uniform distribution of photoreceptors on the retina.

Key words and phrases: association field, visual cortex, cortical magnification, sub-Riemannian geodesics, Lie group $\mathrm{SO(3)}$.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-31-60083_мол_а_дк
European Union's Seventh Framework Programme 335555
The study was funded by RFBR, research project No. 16-31-60083_mol_a_dk.
The research leading to these results has received funding from the European Research Council under the European Community's Seventh Framework Programme (FP7/2007-2013)/ERC grant Lie Analysis, a.n. 335555.


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Document Type: Article
UDC: 517.977
Received: 23.10.2016
Accepted: 28.12.2016
Language: English

Citation: A. Mashtakov, R. Duits, “A cortical based model for contour completion on the retinal sphere”, Program Systems: Theory and Applications, 7:4 (2016), 231–247

Citation in format AMSBIB
\Bibitem{MasDui16}
\by A.~Mashtakov, R.~Duits
\paper A cortical based model for contour completion on the retinal sphere
\jour Program Systems: Theory and Applications
\yr 2016
\vol 7
\issue 4
\pages 231--247
\mathnet{http://mi.mathnet.ru/ps238}
\elib{http://elibrary.ru/item.asp?id=27693378}


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