Modelling of the Poggendorff Illusion via Sub-Riemannian Geodesics in the Roto-Translation Group

We present a neuro-mathematical model for the well-known
Poggendorff illusion, where an illusory contour appears as a geodesic in
some given metric, induced in the primary visual cortex V1 by a visual
stimulus. Our model extends the cortical based model by Citti and Sarti
of perceptual completion in the roto-translation space SE(2), where the
functional architecture and neural connectivity of V1 of mammalians
is modelled as principal fiber bundle of SE(2) equipped with a sub-
Riemannian (SR) metric. We extend the model by taking into account a
presence of a visual stimulus (data adaptivity), which is done by including
an appropriate external cost modulating the SR-metric. Perceptual
curves appear as geodesics, that we compute via SR-Fast Marching.

Автор: Alexey Mashtakov
Дата: 11th September, 2017

First International Workshop on Brain-Inspired Computer Vision
Catania, Sicily, Italy

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