@article{43100d6eca4e4011b1be7600aee24c5f,
title = "High-speed compressed sensing reconstruction in dynamic parallel MRI using augmented lagrangian and parallel processing",
abstract = "Magnetic resonance imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction of the overall measurements are sufficient to reconstruct images with the combination of compressed sensing and parallel imaging. Various reconstruction algorithms have been proposed for compressed sensing, among which augmented Lagrangian based methods have been shown to often perform better than others for many different applications. In this paper, we propose new augmented Lagrangian based solutions to the compressed sensing reconstruction problem with analysis and synthesis prior formulations. We also propose a computational method which makes use of properties of the sampling pattern and the singular value decomposition of the system transfer function to significantly improve the speed of the reconstruction for the proposed algorithms in Cartesian sampled MRI. The proposed algorithms are shown to outperform earlier methods especially for the case of dynamic MRI for which the transfer function tends to be a very large matrix and significantly ill conditioned. It is also demonstrated that the proposed algorithm can be accelerated much further than other methods in case of a parallel implementation with graphics processing units.",
keywords = "Compressed sensing, magnetic resonance imaging, parallel processing",
author = "{\c C}ada{\c s} Bilen and Yao Wang and Selesnick, {Ivan W.}",
note = "Funding Information: and M.S. degrees in electronic engineering from Ts-inghua University, Beijing, China, in 1983 and 1985, respectively, and the Ph.D. degree in electrical and computer engineering from University of California, Santa Barbara, in 1990. Since 1990, she has been with the Electrical and Computer Engineering faculty of Polytechnic Uni-versity, Brooklyn, NY (now Polytechnic Institute of New York University). Her research interests include video coding and networked video applications, medical image processing, and pattern recognition. She is the leading author of the textbook Video Processing and Communications. Dr. Wang has served as an Associate Editor for IEEE TRANSACTIONS ON MULTIMEDIA and IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY. She received New York City Mayor{\textquoteright}s Award for Excellence in Science and Technology in the Young Investigator Category in year 2000. She was elected Fellow of the IEEE in 2004 for contributions to video processing and communications. She is a co-author of two IEEE Communications Society best papers: the Leonard G. Abraham Prize Paper in the Field of Communications Systems in 2004, and the Multimedia Communication Technical Committee Best Paper in 2011. She was a keynote speaker at the 2010 International Packet Video Workshop. She received the Overseas Outstanding Young Investigator Award from the Natural Science Foundation of China in 2005 and was named Yangtze River Lecture Scholar in Tsinghua University by the Ministry of Education of China in 2007. Funding Information: Dr. Selesnick received a DARPA-NDSEG fellowship in 1991. In 1996, his Ph.D. dissertation received the Budd Award for Best Engineering Thesis at Rice University and an award from the Rice-TMC chapter of Sigma Xi. He has received an Alexander von Humboldt Award (1997) and a National Science Foundation Career award (1999). He has been a member of the IEEE SPTM Technical Committee, an Associate Editor of the IEEE TRANSACTIONS ON IMAGE PROCESSING, of IEEE SIGNAL PROCESSING LETTERS, and is currently an Associate and Area Editor of IEEE TRANSACTIONS ON SIGNAL PROCESSING.",
year = "2012",
doi = "10.1109/JETCAS.2012.2217032",
language = "English (US)",
volume = "2",
pages = "370--379",
journal = "IEEE Journal on Emerging and Selected Topics in Circuits and Systems",
issn = "2156-3357",
publisher = "IEEE Circuits and Systems Society",
number = "3",
}