Inverse problems with Poisson data: statistical regularization theory, applications and algorithms

T Hohage, F Werner - Inverse Problems, 2016 - iopscience.iop.org
Inverse problems with Poisson data arise in many photonic imaging modalities in medicine,
engineering and astronomy. The design of regularization methods and estimators for such …

[HTML][HTML] Mathematical and numerical challenges in diffuse optical tomography inverse problems

A Aspri, A Benfenati, P Causin… - … Dynamical Systems-S, 2024 - aimsciences.org
Computed Tomography (CT) is an essential imaging tool for medical inspection, diagnosis
and prevention. While X-rays CT is a consolidated technology, there is nowadays a strong …

Constrained and unconstrained deep image prior optimization models with automatic regularization

P Cascarano, G Franchini, E Kobler, F Porta… - Computational …, 2023 - Springer
Abstract Deep Image Prior (DIP) is currently among the most efficient unsupervised deep
learning based methods for ill-posed inverse problems in imaging. This novel framework …

New convergence results for the scaled gradient projection method

S Bonettini, M Prato - Inverse Problems, 2015 - iopscience.iop.org
The aim of this paper is to deepen the convergence analysis of the scaled gradient
projection (SGP) method, proposed by Bonettini et al in a recent paper for constrained …

A variational Bayesian approach for image restoration—Application to image deblurring with Poisson–Gaussian noise

Y Marnissi, Y Zheng, E Chouzenoux… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, a methodology is investigated for signal recovery in the presence of non-
Gaussian noise. In contrast with regularized minimization approaches often adopted in the …

[HTML][HTML] A semiautomatic multi-label color image segmentation coupling Dirichlet problem and colour distances

G Aletti, A Benfenati, G Naldi - Journal of Imaging, 2021 - mdpi.com
Image segmentation is an essential but critical component in low level vision, image
analysis, pattern recognition, and now in robotic systems. In addition, it is one of the most …

[HTML][HTML] upU-Net approaches for background emission removal in fluorescence microscopy

A Benfenati - Journal of Imaging, 2022 - mdpi.com
The physical process underlying microscopy imaging suffers from several issues: some of
them include the blurring effect due to the Point Spread Function, the presence of Gaussian …

Constrained Regularization by Denoising with Automatic Parameter Selection

P Cascarano, A Benfenati… - IEEE Signal Processing …, 2024 - ieeexplore.ieee.org
Regularization by Denoising (RED) is a well-known method for solving image restoration
problems by using learned image denoisers as priors. Since the regularization parameter in …

Masked unbiased principles for parameter selection in variational image restoration under Poisson noise

F Bevilacqua, A Lanza, M Pragliola… - Inverse Problems, 2023 - iopscience.iop.org
In this paper we address the problem of automatically selecting the regularization parameter
in variational models for the restoration of images corrupted by Poisson noise. More …

Nearly exact discrepancy principle for low-count Poisson image restoration

F Bevilacqua, A Lanza, M Pragliola, F Sgallari - Journal of Imaging, 2021 - mdpi.com
The effectiveness of variational methods for restoring images corrupted by Poisson noise
strongly depends on the suitable selection of the regularization parameter balancing the …