Neuromathematics of Vision, Softcover reprint of the original 1st ed. 2014 Lecture Notes in Morphogenesis Series
Coordonnateurs : Citti Giovanna, Sarti Alessandro
Experimental data comes from several domains: neurophysiology, phenomenology of perception and neurocognitive imaging. Imaging techniques like functional MRI and diffusion tensor MRI allow to deepen the study of cortical structures. Due to this variety of experimental data, neuromathematematics deals with modelling both cortical structures and perceptual spaces.
From the mathematical point of view, neuromathematical call for new instruments of pure mathematics: sub-Riemannian geometry models horizontal connectivity, harmonic analysis in non commutative groups allows to understand pinwheels structure, as well as non-linear dimensionality reduction is at the base of many neural morphologies and possibly of the emergence of perceptual units. But at the center of the neurogeometry is the problem of harmonizing contemporary mathematical instruments with neurophysiological findings and phenomenological experiments in an unitary science of vision.
The contributions to this book come from the very founders of the discipline.
Landmarks for Neurogeometry.- Shape, Shading, Brain and Awareness.- From functional architectures to percepts: a neuro mathematical Approach.- Cuspless Sub-Riemannian Geodesics within the Euclidean Motion Group SE(d).- Psychophysics, Gestalts and Games.- Remarks on invariance in the primary visual systems of mammals.- Hebbian Learning of the Statistical and Geometrical Structure of Visual Input.
Date de parution : 09-2016
Ouvrage de 367 p.
15.5x23.5 cm
Date de parution : 02-2014
Ouvrage de 367 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 105,49 €
Ajouter au panierThèmes de Neuromathematics of Vision :
Mots-clés :
Algorithms for Computer Vision; Connectivity Structure of the Visual Cortex; Functional Architecture of the Visual Cortex; Geometrical Models of Cortex Functionality; Gestalt Theory; Mathematical Modeling of Cognition; Neural origin of Spatial Representations; Neuromathematics; Neuroscience; Rigorous Mathematics of Neuroscience