Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations

H Rue, S Martino, N Chopin - Journal of the Royal Statistical …, 2009 - academic.oup.com
Structured additive regression models are perhaps the most commonly used class of models
in statistical applications. It includes, among others,(generalized) linear …

Image denoising in mixed Poisson–Gaussian noise

F Luisier, T Blu, M Unser - IEEE Transactions on image …, 2010 - ieeexplore.ieee.org
We propose a general methodology (PURE-LET) to design and optimize a wide class of
transform-domain thresholding algorithms for denoising images corrupted by mixed Poisson …

A Douglas–Rachford splitting approach to nonsmooth convex variational signal recovery

PL Combettes, JC Pesquet - IEEE Journal of Selected Topics in …, 2007 - ieeexplore.ieee.org
Under consideration is the large body of signal recovery problems that can be formulated as
the problem of minimizing the sum of two (not necessarily smooth) lower semicontinuous …

A variational approach to reconstructing images corrupted by Poisson noise

T Le, R Chartrand, TJ Asaki - Journal of mathematical imaging and vision, 2007 - Springer
We propose a new variational model to denoise an image corrupted by Poisson noise. Like
the ROF model described in [1] and [2], the new model uses total-variation regularization …

Wavelets, ridgelets, and curvelets for Poisson noise removal

B Zhang, JM Fadili, JL Starck - IEEE Transactions on image …, 2008 - ieeexplore.ieee.org
In order to denoise Poisson count data, we introduce a variance stabilizing transform (VST)
applied on a filtered discrete Poisson process, yielding a near Gaussian process with …

[HTML][HTML] Calcium imaging analysis–how far have we come?

M Robbins, CN Christensen, CF Kaminski… - F1000Research, 2021 - ncbi.nlm.nih.gov
Techniques for calcium imaging were first demonstrated in the mid-1970s, whilst tools to
analyse these markers of cellular activity are still being developed and improved today. For …

Fast interscale wavelet denoising of Poisson-corrupted images

F Luisier, C Vonesch, T Blu, M Unser - Signal processing, 2010 - Elsevier
We present a fast algorithm for image restoration in the presence of Poisson noise. Our
approach is based on (1) the minimization of an unbiased estimate of the MSE for Poisson …

[PDF][PDF] Augmented Lagrangian method for total variation restoration with non-quadratic fidelity

C Wu, J Zhang, XC Tai - Inverse Probl. Imaging, 2011 - Citeseer
Recently augmented Lagrangian method has been successfully applied to image
restoration. We extend the method to total variation (TV) restoration models with non …

A Haar-Fisz algorithm for Poisson intensity estimation

P Fryzlewicz, GP Nason - Journal of computational and graphical …, 2004 - Taylor & Francis
This article introduces a new method for the estimation of the intensity of an inhomogeneous
one-dimensional Poisson process. The Haar-Fisz transformation transforms a vector of …

Denoising of medical images corrupted by Poisson noise

I Rodrigues, J Sanches… - 2008 15th IEEE …, 2008 - ieeexplore.ieee.org
Medical images are often noisy owing to the physical mechanisms of the acquisition
process. The great majority of the denoising algorithms assume additive white Gaussian …