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Inverse problems with Poisson data: statistical regularization theory, applications and algorithms
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 …
engineering and astronomy. The design of regularization methods and estimators for such …
[HTML][HTML] Mathematical and numerical challenges in diffuse optical tomography inverse problems
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 …
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
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 …
learning based methods for ill-posed inverse problems in imaging. This novel framework …
New convergence results for the scaled gradient projection method
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 …
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
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 …
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
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 …
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 …
them include the blurring effect due to the Point Spread Function, the presence of Gaussian …
Constrained Regularization by Denoising with Automatic Parameter Selection
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 …
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
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 …
in variational models for the restoration of images corrupted by Poisson noise. More …
Nearly exact discrepancy principle for low-count Poisson image restoration
The effectiveness of variational methods for restoring images corrupted by Poisson noise
strongly depends on the suitable selection of the regularization parameter balancing the …
strongly depends on the suitable selection of the regularization parameter balancing the …