Image deblurring with Poisson data: from cells to galaxies

M Bertero, P Boccacci, G Desiderà… - Inverse Problems, 2009 - iopscience.iop.org
Image deblurring is an important topic in imaging science. In this review, we consider
together fluorescence microscopy and optical/infrared astronomy because of two common …

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 …

Removing multiplicative noise by Douglas-Rachford splitting methods

G Steidl, T Teuber - Journal of Mathematical Imaging and Vision, 2010 - Springer
In this paper, we consider a variational restoration model consisting of the I-divergence as
data fitting term and the total variation semi-norm or nonlocal means as regularizer for …

Speckle noise removal in ultrasound images by first-and second-order total variation

S Wang, TZ Huang, XL Zhao, JJ Mei, J Huang - Numerical Algorithms, 2018 - Springer
Speckle noise contamination is a common issue in ultrasound imaging system. Due to the
edge-preserving feature, total variation (TV) regularization-based techniques have been …

Accurate EM-TV algorithm in PET with low SNR

A Sawatzky, C Brune, F Wubbeling… - 2008 IEEE nuclear …, 2008 - ieeexplore.ieee.org
PET measurements of tracers with a lower dose rate or short radioactive half life suffer from
extremely low SNRs. In these cases standard reconstruction methods (OSEM, EM, filtered …

Total variation processing of images with Poisson statistics

A Sawatzky, C Brune, J Müller, M Burger - International Conference on …, 2009 - Springer
This paper deals with denoising of density images with bad Poisson statistics (low count
rates), where the reconstruction of the major structures seems the only reasonable task …

EM-TV methods for inverse problems with Poisson noise

M Burger, ACG Mennucci, S Osher, M Rumpf… - Level Set and PDE …, 2013 - Springer
We address the task of reconstructing images corrupted by Poisson noise, which is
important in various applications such as fluorescence microscopy (Dey et al., 3D …

Primal and dual Bregman methods with application to optical nanoscopy

C Brune, A Sawatzky, M Burger - International Journal of Computer Vision, 2011 - Springer
Measurements in nanoscopic imaging suffer from blurring effects modeled with different
point spread functions (PSF). Some apparatus even have PSFs that are locally dependent …

A novel sparsity reconstruction method from Poisson data for 3D bioluminescence tomography

X Zhang, Y Lu, T Chan - Journal of scientific computing, 2012 - Springer
In this paper, we consider 3D Bioluminescence tomography (BLT) source reconstruction
from Poisson data in three dimensional space. With a priori information of sources sparsity …

Bregman-EM-TV methods with application to optical nanoscopy

C Brune, A Sawatzky, M Burger - … on Scale Space and Variational Methods …, 2009 - Springer
Measurements in nanoscopic imaging suffer from blurring effects concerning different point
spread functions (PSF). Some apparatus even have PSFs that are locally dependent on …