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Elements of Neurogeometry - Functional Architectures of Vision (Hardcover, 1st ed. 2017)
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Elements of Neurogeometry - Functional Architectures of Vision (Hardcover, 1st ed. 2017)
Series: Lecture Notes in Morphogenesis
Expected to ship within 12 - 17 working days
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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.
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