Compressed Sensing MRI: a Review from Signal Processing Perspective

Overview

Journal BMC Biomed Eng

Specialty Biomedical Engineering

Date 2020 Sep 9

PMID 32903346

Citations 40

Authors

Jong Chul Ye

Affiliations

Soon will be listed here.

Abstract

Magnetic resonance imaging (MRI) is an inherently slow imaging modality, since it acquires multi-dimensional k-space data through 1-D free induction decay or echo signals. This often limits the use of MRI, especially for high resolution or dynamic imaging. Accordingly, many investigators has developed various acceleration techniques to allow fast MR imaging. For the last two decades, one of the most important breakthroughs in this direction is the introduction of compressed sensing (CS) that allows accurate reconstruction from sparsely sampled k-space data. The recent FDA approval of compressed sensing products for clinical scans clearly reflect the maturity of this technology. Therefore, this paper reviews the basic idea of CS and how this technology have been evolved for various MR imaging problems.

Citing Articles

Cardiac MR image reconstruction using cascaded hybrid dual domain deep learning framework.

Arshad M, Najeeb F, Khawaja R, Ammar A, Amjad K, Omer H PLoS One. 2025; 20(1):e0313226.

PMID: 39792851 PMC: 11723636. DOI: 10.1371/journal.pone.0313226.

Clean Self-Supervised MRI Reconstruction from Noisy, Sub-Sampled Training Data with Robust SSDU.

Millard C, Chiew M Bioengineering (Basel). 2025; 11(12.

PMID: 39768122 PMC: 11726718. DOI: 10.3390/bioengineering11121305.

Accelerated model-based T1, T2* and proton density mapping using a Bayesian approach with automatic hyperparameter estimation.

Huang S, Lah J, Allen J, Qiu D Magn Reson Med. 2024; 93(2):563-583.

PMID: 39270136 PMC: 11604832. DOI: 10.1002/mrm.30295.

Radiomic feature reliability of amide proton transfer-weighted MR images acquired with compressed sensing at 3T.

Wu J, Huang Q, Shen Y, Guo P, Zhou J, Jiang S Int J Imaging Syst Technol. 2024; 34(2).

PMID: 39185083 PMC: 11343505. DOI: 10.1002/ima.23027.

Accelerating breast MRI acquisition with generative AI models.

Okolie A, Dirrichs T, Huck L, Nebelung S, Arasteh S, Nolte T Eur Radiol. 2024; 35(2):1092-1100.

PMID: 39088043 PMC: 11782449. DOI: 10.1007/s00330-024-10853-x.

References

Haldar J, Hernando D . Rank-Constrained Solutions to Linear Matrix Equations Using PowerFactorization. IEEE Signal Process Lett. 2012; 16(7):584-587. PMC: 3290097. DOI: 10.1109/LSP.2009.2018223. View

Knoll F, Clason C, Bredies K, Uecker M, Stollberger R . Parallel imaging with nonlinear reconstruction using variational penalties. Magn Reson Med. 2011; 67(1):34-41. PMC: 4011127. DOI: 10.1002/mrm.22964. View

Sodickson D, Manning W . Simultaneous acquisition of spatial harmonics (SMASH): fast imaging with radiofrequency coil arrays. Magn Reson Med. 1997; 38(4):591-603. DOI: 10.1002/mrm.1910380414. View

Knoll F, Bredies K, Pock T, Stollberger R . Second order total generalized variation (TGV) for MRI. Magn Reson Med. 2011; 65(2):480-91. PMC: 4011128. DOI: 10.1002/mrm.22595. View

Lingala S, Hu Y, DiBella E, Jacob M . Accelerated dynamic MRI exploiting sparsity and low-rank structure: k-t SLR. IEEE Trans Med Imaging. 2011; 30(5):1042-54. PMC: 3707502. DOI: 10.1109/TMI.2010.2100850. View

Chang Y, Liang D, Ying L . Nonlinear GRAPPA: a kernel approach to parallel MRI reconstruction. Magn Reson Med. 2011; 68(3):730-40. DOI: 10.1002/mrm.23279. View

Ye J, Tak S, Han Y, Park H . Projection reconstruction MR imaging using FOCUSS. Magn Reson Med. 2007; 57(4):764-75. DOI: 10.1002/mrm.21202. View

Lin W, Bornert P, Huang F, Duensing G, Reykowski A . Generalized GRAPPA operators for wider spiral bands: rapid self-calibrated parallel reconstruction for variable density spiral MRI. Magn Reson Med. 2011; 66(4):1067-78. DOI: 10.1002/mrm.22900. View

Hammernik K, Klatzer T, Kobler E, Recht M, Sodickson D, Pock T . Learning a variational network for reconstruction of accelerated MRI data. Magn Reson Med. 2017; 79(6):3055-3071. PMC: 5902683. DOI: 10.1002/mrm.26977. View

10.

Gamper U, Boesiger P, Kozerke S . Compressed sensing in dynamic MRI. Magn Reson Med. 2008; 59(2):365-73. DOI: 10.1002/mrm.21477. View

11.

Johnson K, Block W, Reeder S, Samsonov A . Improved least squares MR image reconstruction using estimates of k-space data consistency. Magn Reson Med. 2011; 67(6):1600-8. PMC: 3354012. DOI: 10.1002/mrm.23144. View

12.

Ramani S, Fessler J . Parallel MR image reconstruction using augmented Lagrangian methods. IEEE Trans Med Imaging. 2010; 30(3):694-706. PMC: 3081617. DOI: 10.1109/TMI.2010.2093536. View

13.

Feng L, Grimm R, Block K, Chandarana H, Kim S, Xu J . Golden-angle radial sparse parallel MRI: combination of compressed sensing, parallel imaging, and golden-angle radial sampling for fast and flexible dynamic volumetric MRI. Magn Reson Med. 2013; 72(3):707-17. PMC: 3991777. DOI: 10.1002/mrm.24980. View

14.

Griswold M, Jakob P, Heidemann R, Nittka M, Jellus V, Wang J . Generalized autocalibrating partially parallel acquisitions (GRAPPA). Magn Reson Med. 2002; 47(6):1202-10. DOI: 10.1002/mrm.10171. View

15.

Kwon K, Kim D, Park H . A parallel MR imaging method using multilayer perceptron. Med Phys. 2017; 44(12):6209-6224. DOI: 10.1002/mp.12600. View

16.

Lustig M, Donoho D, Pauly J . Sparse MRI: The application of compressed sensing for rapid MR imaging. Magn Reson Med. 2007; 58(6):1182-95. DOI: 10.1002/mrm.21391. View

17.

Wang H, Liang D, King K, Nagarsekar G, Chang Y, Ying L . Improving GRAPPA using cross-sampled autocalibration data. Magn Reson Med. 2011; 67(4):1042-53. DOI: 10.1002/mrm.23083. View

18.

Liang D, Liu B, Wang J, Ying L . Accelerating SENSE using compressed sensing. Magn Reson Med. 2009; 62(6):1574-84. DOI: 10.1002/mrm.22161. View

19.

Addy N, Wu H, Nishimura D . Simple method for MR gradient system characterization and k-space trajectory estimation. Magn Reson Med. 2011; 68(1):120-9. PMC: 4048453. DOI: 10.1002/mrm.23217. View

20.

Zhang T, Pauly J, Vasanawala S, Lustig M . Coil compression for accelerated imaging with Cartesian sampling. Magn Reson Med. 2012; 69(2):571-82. PMC: 3396763. DOI: 10.1002/mrm.24267. View