Modern regularization methods for inverse problems

M Benning, M Burger - Acta numerica, 2018 - cambridge.org
Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

From simultaneous to synergistic MR‐PET brain imaging: A review of hybrid MR‐PET imaging methodologies

Z Chen, SD Jamadar, S Li, F Sforazzini… - Human brain …, 2018 - Wiley Online Library
Abstract Simultaneous Magnetic Resonance Imaging (MRI) and Positron Emission
Tomography (PET) scanning is a recent major development in biomedical imaging. The full …

Iterative PET image reconstruction using convolutional neural network representation

K Gong, J Guan, K Kim, X Zhang, J Yang… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
PET image reconstruction is challenging due to the ill-poseness of the inverse problem and
limited number of detected photons. Recently, the deep neural networks have been widely …

Higher-order total variation approaches and generalisations

K Bredies, M Holler - Inverse Problems, 2020 - iopscience.iop.org
Over the last decades, the total variation (TV) has evolved to be one of the most broadly-
used regularisation functionals for inverse problems, in particular for imaging applications …

Low rank alternating direction method of multipliers reconstruction for MR fingerprinting

J Assländer, MA Cloos, F Knoll… - Magnetic resonance …, 2018 - Wiley Online Library
Purpose The proposed reconstruction framework addresses the reconstruction accuracy,
noise propagation and computation time for magnetic resonance fingerprinting. Methods …

Stochastic primal-dual hybrid gradient algorithm with arbitrary sampling and imaging applications

A Chambolle, MJ Ehrhardt, P Richtárik… - SIAM Journal on …, 2018 - SIAM
We propose a stochastic extension of the primal-dual hybrid gradient algorithm studied by
Chambolle and Pock in 2011 to solve saddle point problems that are separable in the dual …

High‐dimensionality undersampled patch‐based reconstruction (HD‐PROST) for accelerated multi‐contrast MRI

A Bustin, G Lima da Cruz, O Jaubert… - Magnetic resonance …, 2019 - Wiley Online Library
Purpose To develop a new high‐dimensionality undersampled patch‐based reconstruction
(HD‐PROST) for highly accelerated 2D and 3D multi‐contrast MRI. Methods HD‐PROST …

Improving parallel imaging by jointly reconstructing multi‐contrast data

B Bilgic, TH Kim, C Liao, MK Manhard… - Magnetic resonance …, 2018 - Wiley Online Library
Purpose To develop parallel imaging techniques that simultaneously exploit coil sensitivity
encoding, image phase prior information, similarities across multiple images, and …

[HTML][HTML] Approximating anatomically-guided PET reconstruction in image space using a convolutional neural network

G Schramm, D Rigie, T Vahle, A Rezaei, K Van Laere… - Neuroimage, 2021 - Elsevier
In the last two decades, it has been shown that anatomically-guided PET reconstruction can
lead to improved bias-noise characteristics in brain PET imaging. However, despite …

Dynamic PET image denoising using deep image prior combined with regularization by denoising

H Sun, L Peng, H Zhang, Y He, S Cao, L Lu - IEEE Access, 2021 - ieeexplore.ieee.org
The quantitative accuracy of positron emission tomography (PET) is affected by several
factors, including the intrinsic resolution of the imaging system and inherently noisy data …