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001 978-3-319-65591-8
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008 171109s2017 gw | s |||| 0|eng d
020 _a9783319655918
_9978-3-319-65591-8
024 7 _a10.1007/978-3-319-65591-8
_2doi
040 _aISI Library, Kolkata
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPDE
_2thema
082 0 4 _a570.285
_223
100 1 _aPetitot, Jean.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aElements of Neurogeometry
_h[electronic resource] :
_bFunctional Architectures of Vision /
_cby Jean Petitot.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 379 p. 257 illus., 186 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Morphogenesis,
_x2195-1934
505 0 _aPreface -- Introdcution -- Receptive Fields and Profiles, and Wavelet Analysis -- Pinwheels of V1  Horizontal Connections and Contact Structure -- Transition to Volume II --  References.
520 _aThis book describes several mathematical models of the primary visual cortex, referring them to a vast ensemble of experimental data and putting forward an original geometrical model for its functional architecture, that is, the highly specific organization of its neural connections. The book spells out the geometrical algorithms implemented by this functional architecture, or put another way, the “neurogeometry” immanent in visual perception. Focusing on the neural origins of our spatial representations, it demonstrates three things: firstly, the way the visual neurons filter the optical signal is closely related to a wavelet analysis; secondly, the contact structure of the 1-jets of the curves in the plane (the retinal plane here) is implemented by the cortical functional architecture; and lastly, the visual algorithms for integrating contours from what may be rather incomplete sensory data can be modelled by the sub-Riemannian geometry associated with this contact structure. As such, it provides readers with the first systematic interpretation of a number of important neurophysiological observations in a well-defined mathematical framework. The book’s neuromathematical exploration appeals to graduate students and researchers in integrative-functional-cognitive neuroscience with a good mathematical background, as well as those in applied mathematics with an interest in neurophysiology.
650 0 _aGeometry.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aMathematical Models of Cognitive Processes and Neural Networks.
_0http://scigraph.springernature.com/things/product-market-codes/M13100
650 2 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319655895
776 0 8 _iPrinted edition:
_z9783319655901
776 0 8 _iPrinted edition:
_z9783319880631
830 0 _aLecture Notes in Morphogenesis,
_x2195-1934
856 4 0 _uhttps://doi.org/10.1007/978-3-319-65591-8
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427297
_d427297