Journal
JOURNAL OF MATHEMATICAL IMAGING AND VISION
Volume 49, Issue 3, Pages 511-529Publisher
SPRINGER
DOI: 10.1007/s10851-013-0482-z
Keywords
Visual cortex; Lie groups; Contact geometry; Galilean group; Cognitive neuroscience; Spatio-temporal models
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In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive field linear dynamics of orientation and speed-selective cells in the visual cortex, that can be embedded in the definition of a geometry where the connectivity between points is driven by the contact structure of a 5D manifold. Then, we compute the stochastic kernels that are the approximations of two Fokker Planck operators associated to the geometry, and implement them as facilitation patterns within a neural population activity model, in order to reproduce some psychophysiological findings about the perception of contours in motion and trajectories of points found in the literature.
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