DIP-VBTV: a color image restoration model combining a deep image prior and a vector bundle total variation

T Batard, G Haro, C Ballester - SIAM Journal on Imaging Sciences, 2021 - SIAM
In this paper, we introduce a new variational model for color image restoration, called DIP-
VBTV, which combines two priors: a deep image prior (DIP), which assumes that the …

Recent geometric flows in multi-orientation image processing via a Cartan connection

R Duits, BMN Smets, AJ Wemmenhove… - … of Mathematical Models …, 2021 - Springer
Applications of geometric flows to multi-orientation image processing require the choice of
an (affine) connection on the Lie group G of roto-translations. Typical choices of such …

Reconstruction of photospheric velocity fields from highly corrupted data

EL Rempel, R Chertovskih… - The Astrophysical …, 2022 - iopscience.iop.org
The analysis of the photospheric velocity field is essential for understanding plasma
turbulence in the solar surface, which may be responsible for driving processes such as …

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

F Ballerin, E Grong - arXiv preprint arXiv:2308.07652, 2023 - arxiv.org
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 …

A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions

E Baspinar, L Calatroni, V Franceschi, D Prandi - Journal of Imaging, 2021 - mdpi.com
We consider Wilson-Cowan-type models for the mathematical description of orientation-
dependent Poggendorff-like illusions. Our modelling improves two previously proposed …

Lie symmetries in cortical inspired CNNs

F Bertoni - 2022 - amsdottorato.unibo.it
Our scope in this thesis is to propose architectures of CNNs in such a way to model the early
visual pathway, including the Lateral Geniculate Nucleus and the Horizontal Connectivity of …

[PDF][PDF] Sub-Riemannian geometry and its applications to Image Processing

F Ballerin - 2022 - bora.uib.no
When using our sense of vision, lightrays that are reflected by the objects positioned in the
3D world form a 2D image on the retinas of our eyes. This image is perceived and …

[PDF][PDF] Improved Computational Models and Algorithms for Geodesic Vessel Tracking in Orientation Scores

N van den Berg, R Duits, B Smets, B Koren - 2021 - pure.tue.nl
Retinal images are frequently used to analyse the vascular system. This non-invasive
method of observation of the circulatory system is often used to diagnose different kinds of …