DocumentCode :
2576361
Title :
Image reconstruction via optimal control on the bundle of directions of the plane
Author :
Boscain, Ugo ; Duplaix, Jean ; Gauthier, Jean-Paul ; Rossi, Francesco
Author_Institution :
CNRS, Ecole Polytech., Palaiseau, France
fYear :
2010
fDate :
15-17 Dec. 2010
Firstpage :
7027
Lastpage :
7032
Abstract :
In this paper we present a model of geometry of vision which generalizes one due to Petitot, Citti and Sarti. One of its main features is that the primary visual cortex V1 lifts the image from ℝ2 to the bundle of directions of the plane PTℝ2 = ℝ2 × P1. Neurons are grouped into orientation columns, each of them corresponding to a point of the bundle PTℝ2.
Keywords :
Fourier transforms; computational geometry; elliptic equations; image reconstruction; minimisation; neural nets; optimal control; Mathieu potential; corrupted image; generalized Fourier transform; hypoelliptic heat equation; image reconstruction; minimization; neurons; optimal control; primary visual cortex VI; Brain modeling; Equations; Heating; Image reconstruction; Kernel; Level set; Mathematical model;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
ISSN :
0743-1546
Print_ISBN :
978-1-4244-7745-6
Type :
conf
DOI :
10.1109/CDC.2010.5717682
Filename :
5717682
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2576361
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