Téléchargez le livre : Elements of Neurogeometry

Elements of Neurogeometry

Functional Architectures of Vision de

Éditeur :

Springer


Collection :

Lecture Notes in Morphogenesis

Paru le : 2017-11-08

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Description

This book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure.

As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.
Pages
379 pages
Collection
Lecture Notes in Morphogenesis
Parution
2017-11-08
Marque
Springer
EAN papier
9783319655895
EAN PDF
9783319655918
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
37
Taille du fichier
28017 Ko
Prix
126,59 €
EAN EPUB
9783319655918
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
37
Taille du fichier
17244 Ko
Prix
126,59 €

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