Elements of Neurogeometry : Functional Architectures of Vision. 1st ed. 2017

種類:

電子ブック

責任表示:

by Jean Petitot

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Petitot, Jean.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Morphogenesis ;

ISBN:

9783319655918 [3319655914]    

注記:

Preface -- Introdcution -- Receptive Fields and Profiles, and Wavelet Analysis -- Pinwheels of V1  Horizontal Connections and Contact Structure -- Transition to Volume II --  References.
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 wi

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