Accelerating magnetic resonance imaging via deep learning

S Wang, Z Su, L Ying, X Peng, S Zhu… - 2016 IEEE 13th …, 2016 - ieeexplore.ieee.org
This paper proposes a deep learning approach for accelerating magnetic resonance
imaging (MRI) using a large number of existing high quality MR images as the training …

An accelerated linearized alternating direction method of multipliers

Y Ouyang, Y Chen, G Lan, E Pasiliao Jr - SIAM Journal on Imaging Sciences, 2015 - SIAM
We present a novel framework, namely, accelerated alternating direction method of
multipliers (AADMM), for acceleration of linearized ADMM. The basic idea of AADMM is to …

A primal–dual fixed point algorithm for convex separable minimization with applications to image restoration

P Chen, J Huang, X Zhang - Inverse Problems, 2013 - iopscience.iop.org
Recently, the minimization of a sum of two convex functions has received considerable
interest in a variational image restoration model. In this paper, we propose a general …

Learning joint-sparse codes for calibration-free parallel MR imaging

S Wang, S Tan, Y Gao, Q Liu, L Ying… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
The integration of compressed sensing and parallel imaging (CS-PI) has shown an
increased popularity in recent years to accelerate magnetic resonance (MR) imaging …

An Efficient Algorithm for 0 Minimization in Wavelet Frame Based Image Restoration

B Dong, Y Zhang - Journal of Scientific Computing, 2013 - Springer
Wavelet frame based models for image restoration have been extensively studied for the
past decade (Chan et al. in SIAM J. Sci. Comput. 24 (4): 1408–1432, 2003; Cai et al. in …

Magnetic resonance image reconstruction using trained geometric directions in 2D redundant wavelets domain and non-convex optimization

B Ning, X Qu, D Guo, C Hu, Z Chen - Magnetic resonance imaging, 2013 - Elsevier
Reducing scanning time is significantly important for MRI. Compressed sensing has shown
promising results by undersampling the k-space data to speed up imaging. Sparsity of an …

Bregman operator splitting with variable stepsize for total variation image reconstruction

Y Chen, WW Hager, M Yashtini, X Ye… - Computational optimization …, 2013 - Springer
This paper develops a Bregman operator splitting algorithm with variable stepsize (BOSVS)
for solving problems of the form \min{ϕ(Bu)+1/2‖Au-f‖_2^2\}, where ϕ may be nonsmooth …

An unrolled implicit regularization network for joint image and sensitivity estimation in parallel mr imaging with convergence guarantee

Y Yang, Y Wang, J Wang, J Sun, Z Xu - SIAM Journal on Imaging Sciences, 2023 - SIAM
Parallel imaging (PI), relying on multicoils to sense-space data, is an effective technique to
accelerate magnetic resonance imaging by exploiting spatial sensitivity coding of multiple …

Efficient dynamic parallel MRI reconstruction for the low-rank plus sparse model

CY Lin, JA Fessler - IEEE transactions on computational …, 2018 - ieeexplore.ieee.org
The low-rank plus sparse (L+ S) decomposition model enables the reconstruction of
undersampled dynamic parallel magnetic resonance imaging data. Solving for the low rank …

Optimization methods for MR image reconstruction (long version)

JA Fessler - arXiv preprint arXiv:1903.03510, 2019 - arxiv.org
The development of compressed sensing methods for magnetic resonance (MR) image
reconstruction led to an explosion of research on models and optimization algorithms for MR …