Both compressed sensing (CS) and parallel imaging (PI) can be used to accelerate magnetic resonance imaging (MRI) by under-sampling the k space data. Several methods combining CS and PI have been proposed to further improve the scanning speed. In this paper, we proposed a new approach to combine CS and PI. We used GRAPPA (Generalized Autocalibrating Partially Parallel Acquisitions) algorithm to reconstruct local under-sampled k space data, and CS to reconstruct the whole k space data for each coil. In the CS reconstruction step, we constrained that the reconstructed k space data should be assimilated to both the sampled k space data and the reconstructed k space data by GRAPPA. In addition, we designed a new sampling strategy to improve the quality of image reconstruction. In vivo imaging results demonstrated that the proposed approach could effectively remove artifacts and improve the image quality.
HUANG Li-jie
,
SONG Yang
,
ZHAO Xian-ce
,
XIE Hai-bin
,
WU Dong-mei
,
YANG Guang
. A New Combination Scheme of GRAPPA and Compressed Sensing for Accelerated Magnetic Resonance Imaging[J]. Chinese Journal of Magnetic Resonance, 2018
, 35(1)
: 31
-39
.
DOI: 10.11938/cjmr20172578
[1] 周康荣, 陈祖望. 体部磁共振成像[M]. 上海:上海医科大学出版社, 2000.[2] GAO M, XIE H B, LI Z M, et al. A synchronized compressed sensing scan-reconstruction scheme in magnetic resonance imaging[J]. Chinese J Magn Reson, 2016, 33(2):257-268. 高芒, 谢海滨, 李智敏, 等. 压缩感知同步扫描重建及其采样方案的研究[J]. 波谱学杂志, 2016, 33(2):257-268.[3] 俎栋林, 高家红. 核磁共振成像[M]. 北京:北京大学出版社, 2014.[4] PRUESSMANN K P, WEIGER M, SCHEIDEGGER M B, et al. SENSE:sensitivity encoding for fast MRI[J]. Magn Reson Med, 1999, 42(5):952-962.[5] GRISWOLD M A, JAKOB P M, HEIDEMANN R M, et al. Generalized autocalibrating partially parallel acquisitions (GRAPPA)[J]. Magn Reson Med, 2002, 47(6):1202-1210.[6] DONOHO D L. Compressed sensing[J]. IEEE T Inform Theory, 2006, 52(4):1289-1306.[7] MAJUMDAR A, WARD R K. On the choice of compressed sensing priors and sparsifying transforms for MR image reconstruction:An experimental study[J]. Signal Process, 2012, 27(9):1035-1048.[8] KUTYNIOK G. Theory and applications of compressed sensing[J]. Gamm-mitteilungen, 2012, 36(1):79-101.[9] LUSTIG M, DONOHO D L, PAULY J M, et al. Sparse MRI:The application of compressed sensing for rapid MR imaging[J]. Magn Reson Med, 2007, 58(6):1182-1195.[10] LIU B, ZOU Y, YING L. Proceedings of the 5th international conference on information technology and application in biomedicine, in conjunction with the 2nd international symposium & summer school on biomedical and health engineering[C]. Shenzhen:IEEE, 2008.[11] ZHAO C, LANG T, JI J. Proceedings of the 16th international society of magnetic resonance in medicine[C]. Toronto:John Wiley & Sons, Inc, 2008.[12] LUSTIG M, PAULY J M. SPIRiT:Iterative self-consistent parallel imaging reconstruction from arbitrary k-space[J]. Magn Reson Med, 2010, 64(2):457-471.[13] MURPHY M, ALLEY M, DEMMEK JAMES, et al. Fast L<sub>1</sub>-SPIRIT comprssed sensing parallel imaging MRI:scalable parallel implementation and clinically feasible runtime[J]. IEEE Trans Med Imaging, 2012, 31(6):1250-1262.[14] SHIN P J, LARSON P E, OHLIGER M A, et al. Calibrationless parallel imaging reconstruction based on structured low-rank matrix completion[J]. Magn Reson Med, 2014, 72(4):959-970.[15] LIANG D, LIU B, WANG J, et al. Accelerating SENSE using compressed sensing[J]. Magn Reson Med, 2009, 62(6):1574-1584.[16] KING K, XU D, BRAU A C, et al. Proceedings of the 18th international society of magnetic resonance in medicine[C]. Stockholm:John Wiley & Sons, Inc, 2010.[17] CHANG Y, LIANG D, YING L, et al. Nonlinear GRAPPA:A kernel approach to parallel MRI reconstruction[J]. Magn Reson Med, 2012, 68(3):730-740.[18] CHANG Y, KING K F, LIANG D, et al. IEEE 9th international symposium on biomedical imaging[C]. Barcelona:IEEE, 2012.[19] BEATTY P J, KING K F, MARINELLI L, et al. Proceedings of the 17th international society of magnetic resonance in medicine[C]. Honolulu:John Wiley & Sons, Inc, 2009.[20] WANG Z, WANG J, DETRE J A. Improved data reconstruction method for GRAPPA[J]. Magn Reson Med, 2005, 54(3):738-742.[21] AJA-FERNÁNDEZ S, MARTÍN D G, TRISTÁN-VEGA A, et al. Improving GRAPPA reconstruction by frequency discrimination in the ACS lines[J]. Int J Comput Ass Rad 2015, 10(10):1699-1710.[22] YIN W, OSHER S, GOLDFARB D, et al. Bregman iterative algorithms for l<sub>1</sub> minimization with applications to compressed sensing[J]. Siam J Imaging Sci, 2008, 1(1):143-168.[23] WANG Z, BOVIK A C, SHEIKH H R, et al. Image quality assessment:from error visibility to structural similarity[J]. IEEE T Image Processing, 2004, 13(4):600-612.
