Hyperbolic planforms in relation to visual edges and textures perception.

ABSTRACT: We propose to use bifurcation theory and pattern formation as theoretical probes for various hypotheses about the neural organization of the brain. This allows us to make predictions about the kinds of patterns that should be observed in the activity of real brains through, e.g., optical imaging, and opens the door to the design of experiments to test these hypotheses. We study the specific problem of visual edges and textures perception and suggest that these features may be represented at the population level in the visual cortex as a specific second-order tensor, the structure tensor, perhaps within a hypercolumn. We then extend the classical ring model to this case and show that its natural framework is the non-Euclidean hyperbolic geometry. This brings in the beautiful structure of it

SUBMITTER: Chossat P 

PROVIDER: S-EPMC2798746 | biostudies-literature | 2009 Dec

REPOSITORIES: biostudies-literature