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We consider the evolution model proposed in [9, 6] to describe illusorycontrast perception phenomena induced by surrounding orientations. Firstly, wehighlight its analogies and differences with the widely used Wilson-Cowanequations [48], mainly in terms of efficient representation properties. Then,in order to explicitly encode local directional information, we exploit themodel of the primary visual cortex (V1) proposed in [20] and largely used overthe last years for several image processing problems [24,38,28]. The resultingmodel is thus defined in the space of positions and orientation and it iscapable to describe assimilation and contrast visual bias at the same time. Wereport several numerical tests showing the ability of the model to reproduce,in particular, orientation-dependent phenomena such as grating induction and amodified version of the Poggendorff illusion. For this latter example, weempirically show the existence of a set of threshold parameters differentiatingfrom inpainting to perception-type reconstructions and describing long-rangeconnectivity between different hypercolumns in V1.

Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling