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06/27/2023
A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities
A novel numerical strategy is introduced for computing approximations of...
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06/25/2023
Deep image prior inpainting of ancient frescoes in the Mediterranean Alpine arc
The unprecedented success of image reconstruction approaches based on de...
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03/20/2023
Fluctuation-based deconvolution in fluorescence microscopy using plug-and-play denoisers
The spatial resolution of images of living samples obtained by fluoresce...
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03/16/2023
Stochastic gradient descent for linear inverse problems in variable exponent Lebesgue spaces
We consider a stochastic gradient descent (SGD) algorithm for solving li...
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02/20/2023
Bilevel learning of regularization models and their discretization for image deblurring and super-resolution
Bilevel learning is a powerful optimization technique that has extensive...
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12/10/2021
Modular-proximal gradient algorithms in variable exponent Lebesgue spaces
We consider structured optimisation problems defined in terms of the sum...
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08/30/2021
ADMM-based residual whiteness principle for automatic parameter selection in super-resolution problems
We propose an automatic parameter selection strategy for the problem of ...
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06/29/2021
Mathematical osmosis imaging for multi-modal and multi-spectral applications in Cultural Heritage conservation
In this work we present a dual-mode mid-infrared workflow [6], for detec...
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04/08/2021
On and beyond Total Variation regularisation in imaging: the role of space variance
Over the last 30 years a plethora of variational regularisation models f...
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04/02/2021
Residual whiteness principle for automatic parameter selection in ℓ_2-ℓ_2 image super-resolution problems
We propose an automatic parameter selection strategy for variational ima...
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12/28/2020
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
We consider Wilson-Cowan-type models for the mathematical orientation-de...
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10/25/2020
Weighted-CEL0 sparse regularisation for molecule localisation in super-resolution microscopy with Poisson data
We propose a continuous non-convex variational model for Single Molecule...
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10/22/2020
Non-convex Super-resolution of OCT images via sparse representation
We propose a non-convex variational model for the super-resolution of Op...
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08/19/2020
On the inverse Potts functional for single-image super-resolution problems
We consider a variational model for single-image super-resolution based ...
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10/15/2019
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling
We consider the evolution model proposed in [9, 6] to describe illusory ...
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10/04/2019
Variational Osmosis for Non-linear Image Fusion
We propose a new variational model for nonlinear image fusion. Our appro...
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08/02/2019
Space-adaptive anisotropic bivariate Laplacian regularization for image restoration
In this paper we present a new regularization term for variational image...
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12/18/2018
A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations
We consider a differential model describing neuro-physiological contrast...
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03/19/2018
Unveiling the invisible - mathematical methods for restoring and interpreting illuminated manuscripts
The last fifty years have seen an impressive development of mathematical...
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02/27/2016
Graph clustering, variational image segmentation methods and Hough transform scale detection for object measurement in images
We consider the problem of scale detection in images where a region of i...
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05/08/2015