EAN: 9783319655895

Bilder-Quelle: discount24.de - Sport-Freizeit

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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08.10.2025 um 13:07 Uhr

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