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Field name	Details
Dewey Class	570.285
Title	Elements of Neurogeometry ([EBook]) : Functional Architectures of Vision / / by Jean Petitot.
Author	Petitot, Jean
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details	XV, 379 p. 257 illus., 186 illus. in color. : online resource.
Series	Lecture Notes in Morphogenesis 2195-1934
ISBN	9783319655918
Summary Note	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.:
Contents note	Preface -- Introdcution -- Receptive Fields and Profiles, and Wavelet Analysis -- Pinwheels of V1 Horizontal Connections and Contact Structure -- Transition to Volume II -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-65591-8
Links to Related Works	Subject References: Biomathematics . Geometry . Mathematical and Computational Biology . Mathematical Models of Cognitive Processes and Neural Networks . Mathematics . Neural networks (Computer science) . Authors: Petitot, Jean . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Morphogenesis . Classification: 570.285 .

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Elements of Neurogeometry: Functional Architectures of Vision /

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