EAN: 9783319655895

LECTURE NOTES IN MORPHOGENESIS ELEMENTS OF NE...

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.

Aktuelle Preise zur EAN 9783319655895

Produktinformationen zur 9783319655895