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Conformal Model of Hypercolumns in V1 Cortex and the Möbius Group. Application to the Visual Stability Problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018349" target="_blank" >RIV/62690094:18470/21:50018349 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/content/pdf/10.1007%2F978-3-030-80209-7.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2F978-3-030-80209-7.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-80209-7_8" target="_blank" >10.1007/978-3-030-80209-7_8</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Conformal Model of Hypercolumns in V1 Cortex and the Möbius Group. Application to the Visual Stability Problem

  • Original language description

    A conformal spherical model of hypercolumns of primary visual cortex V1 is proposed. It is a modification of the Bressloff-Cowan Riemannian spherical model. The main assumption is that simple neurons of a hypercolumn, considered as Gabor filters, obtained for the mother Gabor filter by transformations from the Möbius group Sl(2, C). It is shown that in a small neighborhood of a pinwheel, which is responsible for detection of high (resp., low) frequency stimuli, it reduces to the Sarti-Citti-Petitot symplectic model of V1 cortex. Application to the visual stability problem is discussed. © 2021, Springer Nature Switzerland AG.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

  • ISBN

    978-3-030-80208-0

  • ISSN

    0302-9743

  • e-ISSN

    1611-3349

  • Number of pages

    8

  • Pages from-to

    65-72

  • Publisher name

    Springer Science and Business Media Deutschland GmbH

  • Place of publication

    Paríž

  • Event location

    Paríž

  • Event date

    Jun 21, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000709366400010