Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations
Structured additive regression models are perhaps the most commonly used class of models
in statistical applications. It includes, among others,(generalized) linear …
in statistical applications. It includes, among others,(generalized) linear …
Image denoising in mixed Poisson–Gaussian noise
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 …
transform-domain thresholding algorithms for denoising images corrupted by mixed Poisson …
A Douglas–Rachford splitting approach to nonsmooth convex variational signal recovery
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 …
the problem of minimizing the sum of two (not necessarily smooth) lower semicontinuous …
A variational approach to reconstructing images corrupted by Poisson noise
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 …
the ROF model described in [1] and [2], the new model uses total-variation regularization …
Wavelets, ridgelets, and curvelets for Poisson noise removal
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 …
applied on a filtered discrete Poisson process, yielding a near Gaussian process with …
[HTML][HTML] Calcium imaging analysis–how far have we come?
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 …
analyse these markers of cellular activity are still being developed and improved today. For …
Fast interscale wavelet denoising of Poisson-corrupted images
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 …
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
Recently augmented Lagrangian method has been successfully applied to image
restoration. We extend the method to total variation (TV) restoration models with non …
restoration. We extend the method to total variation (TV) restoration models with non …
A Haar-Fisz algorithm for Poisson intensity estimation
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 …
one-dimensional Poisson process. The Haar-Fisz transformation transforms a vector of …
Denoising of medical images corrupted by Poisson noise
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 …
process. The great majority of the denoising algorithms assume additive white Gaussian …