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cs.CV2024
Geometry of the Visual Cortex with Applications to Image Inpainting and Enhancement
Francesco Ballerin, Erlend Grong
Equipping the rototranslation group with a sub-Riemannian structure inspired by the visual cortex V1, we propose algorithms for image inpainting and enhancement based on hy…
math.DG2024
Controllability and diffeomorphism groups on manifolds with boundary
Erlend Grong, Alexander Schmeding
In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact…
math.PR2024
Score matching for sub-Riemannian bridge sampling
Erlend Grong, Karen Habermann, Stefan Sommer
Simulation of conditioned diffusion processes is an essential tool in inference for stochastic processes, data imputation, generative modelling, and geometric statistics. Whilst si…