Recent advances in combined Positron Emission Tomography and Magnetic Resonance Imaging
P Galve, B Rodriguez-Vila, JL Herraiz… - Journal of …, 2024 - iopscience.iop.org
Hybrid imaging modalities combine two or more medical imaging techniques offering
exciting new possibilities to image the structure, function and biochemistry of the human …
exciting new possibilities to image the structure, function and biochemistry of the human …
Faster PET reconstruction with non-smooth priors by randomization and preconditioning
MJ Ehrhardt, P Markiewicz… - Physics in Medicine & …, 2019 - iopscience.iop.org
Uncompressed clinical data from modern positron emission tomography (PET) scanners are
very large, exceeding 350 million data points (projection bins). The last decades have seen …
very large, exceeding 350 million data points (projection bins). The last decades have seen …
On the convergence of stochastic primal-dual hybrid gradient
In this paper, we analyze the recently proposed stochastic primal-dual hybrid gradient
(SPDHG) algorithm and provide new theoretical results. In particular, we prove almost sure …
(SPDHG) algorithm and provide new theoretical results. In particular, we prove almost sure …
An investigation of stochastic variance reduction algorithms for relative difference penalized 3D PET image reconstruction
Penalised PET image reconstruction algorithms are often accelerated during early iterations
with the use of subsets. However, these methods may exhibit limit cycle behaviour at later …
with the use of subsets. However, these methods may exhibit limit cycle behaviour at later …
Fast Minimization of Expected Logarithmic Loss via Stochastic Dual Averaging
Consider the problem of minimizing an expected logarithmic loss over either the probability
simplex or the set of quantum density matrices. This problem includes tasks such as solving …
simplex or the set of quantum density matrices. This problem includes tasks such as solving …
[HTML][HTML] CCPi-Regularisation toolkit for computed tomographic image reconstruction with proximal splitting algorithms
Iterative reconstruction algorithms are often needed to help solve ill-posed inverse problems
in computed tomography (CT), especially cases when tomographic projection data are …
in computed tomography (CT), especially cases when tomographic projection data are …
A stochastic decoupling method for minimizing the sum of smooth and non-smooth functions
K Mishchenko, P Richtárik - arXiv preprint arXiv:1905.11535, 2019 - arxiv.org
We consider the problem of minimizing the sum of three convex functions: i) a smooth
function $ f $ in the form of an expectation or a finite average, ii) a non-smooth function $ g …
function $ f $ in the form of an expectation or a finite average, ii) a non-smooth function $ g …
A fast stochastic plug-and-play ADMM for imaging inverse problems
In this work we propose an efficient stochastic plug-and-play (PnP) algorithm for imaging
inverse problems. The PnP stochastic gradient descent methods have been recently …
inverse problems. The PnP stochastic gradient descent methods have been recently …
Hamilton-Green solver for the forward and adjoint problems in photoacoustic tomography
F Rullan, MM Betcke - arXiv preprint arXiv:1810.13196, 2018 - arxiv.org
The majority of the solvers for the acoustic problem in Photoacoustic Tomography (PAT) rely
on full solution of the wave equation which makes them less suitable for real-time and …
on full solution of the wave equation which makes them less suitable for real-time and …
Block-coordinate proximal algorithms for scale-free texture segmentation
Texture segmentation still constitutes an on-going challenge, especially when processing
large-size images. Recently, procedures integrating a scale-free (or fractal) wavelet-leader …
large-size images. Recently, procedures integrating a scale-free (or fractal) wavelet-leader …