Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement

arXiv:2308.07652v3 Announce Type: replace
Abstract: Equipping the rototranslation group $SE(2)$ with a sub-Riemannian structure inspired by the visual cortex V1, we propose algorithms for image inpainting and enhancement based on hypoelliptic diffusion. We innovate on previous implementations of the methods by Citti, Sarti, and Boscain et al., by proposing an alternative that prevents fading and is capable of producing sharper results in a procedure that we call WaxOn-WaxOff. We also exploit the sub-Riemannian structure to define a completely new unsharp …

abstract algorithms applications arxiv cortex cs.cv diffusion geometry image inpainting type visual visual cortex