Cortical-inspired functional lifting for image inpainting


We present a mathematical model for the human primary visual cortex V1 and its applications to image processing, based on the sub-Riemannian Citti-Petitot-Sarti model. In this model the primary visual cortex is represented as the bundle $PT\mathbb R^2$ of directions of the plane, where each point corresponds to a neuron with both spatial location and local orientation preferences, endowed with a sub-Riemannian structure. Several new numerical and theoretical results will be discussed.

Università di Bologna, Italy