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 …

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 …

On the convergence of stochastic primal-dual hybrid gradient

A Alacaoglu, O Fercoq, V Cevher - SIAM Journal on Optimization, 2022 - SIAM
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 …

An investigation of stochastic variance reduction algorithms for relative difference penalized 3D PET image reconstruction

R Twyman, S Arridge, Z Kereta, B Jin… - … on Medical Imaging, 2022 - ieeexplore.ieee.org
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 …

Fast Minimization of Expected Logarithmic Loss via Stochastic Dual Averaging

CE Tsai, HC Cheng, YH Li - International Conference on …, 2024 - proceedings.mlr.press
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 …

[HTML][HTML] CCPi-Regularisation toolkit for computed tomographic image reconstruction with proximal splitting algorithms

D Kazantsev, E Pasca, MJ Turner, PJ Withers - SoftwareX, 2019 - Elsevier
Iterative reconstruction algorithms are often needed to help solve ill-posed inverse problems
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 …

A fast stochastic plug-and-play ADMM for imaging inverse problems

J Tang, M Davies - arXiv preprint arXiv:2006.11630, 2020 - arxiv.org
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 …

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 …

Block-coordinate proximal algorithms for scale-free texture segmentation

B Pascal, N Pustelnik, P Abry… - 2018 IEEE International …, 2018 - ieeexplore.ieee.org
Texture segmentation still constitutes an on-going challenge, especially when processing
large-size images. Recently, procedures integrating a scale-free (or fractal) wavelet-leader …