In this paper, we present an effective algorithm for solving the Poisson–Gaussian total
variation model. The existence and uniqueness of solution for the mixed Poisson–Gaussian …

Rician noise removal is an essential problem in magnetic resonance imaging (MRI).
Numerous variational models have been proposed in the literature dealing with Rician noise …

In this paper, a hybrid regularizers model for Poissonian image restoration is introduced. We
study existence and uniqueness of minimizer for this model. To solve the resulting …

Image denoising is an important step in various applications such as astronomical imaging,
electron microscopy, tomography [Brune, Sawatzky, Burger, 2011; Okawa et al., 2012; …

High-order variational models have the ability to remove the staircase effect generated by
the total variation regularizer. They, however, tend to blur object edges. To overcome this …

Image denoising is an essential step in the image processing task. The first-order variational
model can remove noise while preserving edges, but it also generates the staircase effect …

In this paper, we present an image denoising algorithm comprising three stages. In the first
stage, Principal Component Analysis (PCA) is used to suppress the noise. PCA is applied to …

Every day people face uncertainty, which is already an integral part of their lives. Uncertainty
creates risks for various kinds of companies, in particular, the financial sector may incur …

Introduction: Many methods have been proposed to handle the image restoration problem
with Poisson noise. A popular approach to Poissonian image reconstruction is the one …

Some mixed noise removal techniques that use nonlinear partial differential equation (PDE)
based models are surveyed in this work. Several PDE variational models for mixed Poisson …