@article{697669,
      recid = {697669},
      author = {Citti, Giovanna, and Sarti, Alessandro,},
      title = {Neuromathematics of vision [electronic resource]  /},
      pages = {1 online resource (290 pages) :},
      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.},
      url = {http://library.usi.edu/record/697669},
      doi = {https://doi.org/10.1007/978-3-642-34444-2},
}