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In this paper we present a novel model of the primary visual cortex (V1)based on orientation, frequency and phase selective behavior of the V1 simplecells. We start from the first level mechanisms of visual perception: receptiveprofiles. The model interprets V1 as a fiber bundle over the 2-dimensionalretinal plane by introducing orientation, frequency and phase as intrinsicvariables. Each receptive profile on the fiber is mathematically interpreted asa rotated, frequency modulated and phase shifted Gabor function. We start fromthe Gabor function and show that it induces in a natural way the model geometryand the associated horizontal connectivity modeling the neural connectivitypatterns in V1. We provide an image enhancement algorithm employing the modelframework. The algorithm is capable of exploiting not only orientation but alsofrequency and phase information existing intrinsically in a 2-dimensional inputimage. We provide the experimental results corresponding to the enhancementalgorithm.

A sub-Riemannian model of the visual cortex with frequency and phase