Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data

R Chartrand - … symposium on biomedical imaging: from nano …, 2009 - ieeexplore.ieee.org
Compressive sensing is the reconstruction of sparse images or signals from very few
samples, by means of solving a tractable optimization problem. In the context of MRI, this …

Gradient-based image recovery methods from incomplete Fourier measurements

VM Patel, R Maleh, AC Gilbert… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
A major problem in imaging applications such as magnetic resonance imaging and synthetic
aperture radar is the task of trying to reconstruct an image with the smallest possible set of …

Iteratively reweighted algorithms for compressive sensing

R Chartrand, W Yin - 2008 IEEE international conference on …, 2008 - ieeexplore.ieee.org
The theory of compressive sensing has shown that sparse signals can be reconstructed
exactly from many fewer measurements than traditionally believed necessary. In [1], it was …

Restricted isometry properties and nonconvex compressive sensing

R Chartrand, V Staneva - Inverse Problems, 2008 - iopscience.iop.org
The recently emerged field known as compressive sensing has produced powerful results
showing the ability to recover sparse signals from surprisingly few linear measurements …

An efficient algorithm for compressed MR imaging using total variation and wavelets

S Ma, W Yin, Y Zhang… - 2008 IEEE Conference on …, 2008 - ieeexplore.ieee.org
Compressed sensing, an emerging multidisciplinary field involving mathematics, probability,
optimization, and signal processing, focuses on reconstructing an unknown signal from a …

[PDF][PDF] Compressive Sensing.

M Fornasier, H Rauhut - Handbook of mathematical methods in …, 2015 - ee301.wikidot.com
Compressive sensing is a new type of sampling theory, which predicts that sparse signals
and images can be reconstructed from what was previously believed to be incomplete …

An efficient method for compressed sensing

SJ Kim, K Koh, M Lustig, S Boyd - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
Compressed sensing or compressive sampling (CS) has been receiving a lot of interest as a
promising method for signal recovery and sampling. CS problems can be cast as convex …

Highly Undersampled Magnetic Resonance Image Reconstruction via Homotopic -Minimization

J Trzasko, A Manduca - IEEE Transactions on Medical imaging, 2008 - ieeexplore.ieee.org
In clinical magnetic resonance imaging (MRI), any reduction in scan time offers a number of
potential benefits ranging from high-temporal-rate observation of physiological processes to …

[PDF][PDF] A fast TVL1-L2 minimization algorithm for signal reconstruction from partial Fourier data

J Yang, Y Zhang, W Yin - IEEE J. Special Topics Signal …, 2008 - optimization-online.org
Recent compressive sensing results show that it is possible to accurately reconstruct certain
compressible signals from relatively few linear measurements via solving nonsmooth …

An algorithm for sparse MRI reconstruction by Schatten p-norm minimization

A Majumdar, RK Ward - Magnetic resonance imaging, 2011 - Elsevier
In recent years, there has been a concerted effort to reduce the MR scan time. Signal
processing research aims at reducing the scan time by acquiring less K-space data. The …