Logo - springer
Slogan - springer

New & Forthcoming Titles | Neuromathematics of Vision

Neuromathematics of Vision

Citti, Giovanna, Sarti, Alessandro (Eds.)

2014, XVIII, 367 p. 114 illus., 69 illus. in color.

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-642-34444-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-642-34443-5

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • Includes helpful algorithms for applications in computer vision and bioengineering
  • Rigorous mathematical approach
  • Written by experts in the field
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 the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular structure of the primary visual cortex, and slowly cams towards a theoretical understanding of the experimental data on what we now know as functional architecture of the primary visual cortex.
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.

Content Level » Research

Keywords » 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

Related subjects » Biomedical Engineering - Cognitive Psychology - Image Processing

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.

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Mathematical Models of Cognitive Processes and Neural Networks.