Neuromathematics of Vision

• Corporate Author: SpringerLink (Online service)
• Other Authors: Citti, Giovanna (Editor), Sarti, Alessandro (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Lecture Notes in Morphogenesis,
• Subjects: Mathematics.; Image processing.; Neural networks (Computer science).; Biomedical engineering.; Cognitive psychology.; Mathematical Models of Cognitive Processes and Neural Networks.; Image Processing and Computer Vision.; Cognitive Psychology.; Biomedical Engineering.

This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and  shaping the hidden brain structures underlying visual perception. The story of th...

Table of Contents:

• 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.