rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Neuromathematics of Vision
  name:
    name part: Citti, Giovanna.
    role:
      role term: editor.
  name:
    name part: Sarti, Alessandro.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 367 p. 114 illus., 69 illus. in color. online resource.
  abstract: 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.
  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.
  note: edited by Giovanna Citti, Alessandro Sarti.
  subject:
    topic: Mathematics
  subject:
    topic: Image processing
  subject:
    topic: Neural networks (Computer science)
  subject:
    topic: Biomedical engineering
  subject:
    topic: Cognitive psychology
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Models of Cognitive Processes and Neural Networks
  subject:
    topic: Image Processing and Computer Vision
  subject:
    topic: Cognitive Psychology
  subject:
    topic: Biomedical Engineering
  classification: QA76.87
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Morphogenesis
  identifier: 9783642344442
  identifier: http://dx.doi.org/10.1007/978-3-642-34444-2
  record info:
    record creation date: 140208
    record change date: 20151204165508.0
    record identifier: 978-3-642-34444-2