Gabor frames from contact geometry in models of the primary visual cortex
نویسندگان
چکیده
We analyze the interplay between contact geometry and Gabor filters signal analysis in geometric models of primary visual cortex. show particular that a specific framed lattice an associated system is determined by Legendrian circle bundle structure $3$-manifold elements on surface (which V1-cortex), together with presence almost-complex tangent retinal surface). identify scaling lattice, also dictated manifold geometry, ensures frame condition satisfied. then consider $5$-dimensional model where receptor profiles involve dependence frequency scale variables, addition to position orientation. In this case we proposed profile window function does not give rise frames (even distributional sense), while natural modification same generates respect appropriate geometry.
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ژورنال
عنوان ژورنال: Mathematical neuroscience and applications
سال: 2023
ISSN: ['2801-0159']
DOI: https://doi.org/10.46298/mna.9766