Regularized sensitivity encoding (SENSE) reconstruction using bregman iterations

Magnetic Resonance in Medicine

Volumn 61, Issue 1, 2009, Pages 145-152

  Liu, Bo ^a,b   King, Kevin ^b   Steckner, Michael ^c   Xie, Jun ^d   Sheng, Jinhua ^a   Ying, Leslie ^a  

^a University of Wisconsin   (United States)

^b GE HEALTHCARE   (United States)

^c Toshiba Medical Research Institute USA Inc   (United States)

^d MEDICAL COLLEGE OF WISCONSIN   (United States)

Author keywords

Bregman iteration; Compressed sensing; Parallel imaging; SENSE; Total variation regularization

Indexed keywords

COMPRESSED SENSING; ENCODING (SYMBOLS); IMAGE DENOISING; ITERATIVE METHODS; SIGNAL ENCODING;

BREGMAN ITERATION; DISCREPANCY PRINCIPLE; PARALLEL IMAGING; REGULARIZATION FUNCTION; REGULARIZATION METHODS; SENSE; TIKHONOV REGULARIZATION; TOTAL VARIATION REGULARIZATION;

SIGNAL TO NOISE RATIO;

ACCELERATION; ARTICLE; ARTIFACT; BRAIN MAPPING; BRAIN REGION; CONDITIONING; DIAGNOSTIC IMAGING; HUMAN; IMAGE ANALYSIS; IMAGE RECONSTRUCTION; NORMAL HUMAN; SENSITIVITY AND SPECIFICITY; SENSITIVITY ENCODING RECONSTRUCTION; SIGNAL NOISE RATIO;

EID: 60349119456     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.21799     Document Type: Article

References (44)

1. Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P. SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;42:952-962.
2. Griswold MA, Jakob PM, Nittka M, Goldfarb JW, Haase A. Partially parallel imaging with localized sensitivities (PILS). Magn Reson Med 2000;44:602-609.
3. Sodickson DK, Manning WJ. Simultaneous acquisition of spatial harmonics (SMASH): fast imaging with radiofrequency coil arrays. Magn Reson Med 1997;38:591-603.
4. Griswold MA, Jakob PM, Heidemann RM, Mathias Nittka, Jellus V, Wang J, Kiefer B, Haase A. Generalized autocalibrating partially parallel acquisitions (GRAPPA). Magn Reson Med 2002;47:1202-1210.
5. Yeh EN, McKenzie CA, Ohliger MA, Sodickson DK. Parallel magnetic resonance imaging with adaptive radius in K-space (PARS): constrained image reconstruction using k-space locality in radio frequency coil encoded data. Magn Reson Med 2005;53:1383-1392.
6. Kyriakos WE, Panych LP, Kacher DF, Westin C-F, Bao SM, Mulkern RV, Jolesz FA. Sensitivity profiles from an array of coils for encoding and reconstruction in parallel (SPACE RIP). Magn Reson Med 2000;44:301-308.
7. Schoenberg SO, Dietrich O, Reiser MF, Adalsteinsson E, Aksoy M, editors. Parallel imaging in clinical MR applications. Berlin: Springer Verlag; 2007.
8. Weiger M, Pruessmann KP, Leussler C, Roschmann P, Boesiger P. Specific coil design for SENSE: a six-element cardiac array. Magn Reson Med 2001;45:495-504.
9. Zhu Y, Hardy CJ, Sodickson DK, Giaquinto RO, Dumoulin CL Gontran, Kenwood C, Niendorf T, Lejay H, McKenzie CA, Ohliger MA, Rofsky NM. Highly parallel volumetric imaging with a 32-element RF coil array. Magn Reson Med 2004;52:869-877.
10. Ohliger MA, Grant AK, Sodickson DK. Ultimate intrinsic signal-to- noise ratio for parallel MRI: electromagnetic field considerations. Magn Reson Med 2003;50:1018-1030.
11. Lee RF, Hardy CJ, Sodickson DK, Bottomley PA. Lumped-element planar strip array LPSA for parallel MRI. Magn Reson Med 2004;51: 172-183.
12. Xu D, Ying L, Jacob M, Liang Z-P. Optimal SENSE for dynamic imaging. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, FL, USA, 2005 (Abstract 2419).
13. Aggarwal N, Bresler Y. Optimal sampling in parallel magnetic resonance imaging. In: Proceedings of the 2003 IEEE International Conference on Image Processing (ICIP 2003), Barcelona, Catalonia, Spain, September14-18, 2003. New York: Institute of Electrical and Electronics Engineers. p 737-740.
14. King KF. SENSE image quality improvement using matrix regularization. In: Proceedings of the 9th Annual Meeting of ISMRM, Glasgow, Scotland, 2001 (Abstract 1771).
15. Liang Z-P, Bammer R, Ji J, Pelc N, Glover G. Making better SENSE: wavelet de-noising, Tikhonov regularization, and total-least squares. In: Proceedings of the 10th Annual Meeting of ISMRM, Honolulu, HI, USA, 2002 (Abstract 2388).
16. Raj A, Singh G, Zabih R, Kressler B, Wang Y, Schuff N, Weiner M. Bayesian parallel imaging with edge-preserving priors. Magn Reson Med 2007;57:8-21.
17. Lin F-H, Kwong KK, Belliveau JW, Wald LL. Parallel imaging reconstruction using automatic regularization. Magn Reson Med 2004;51:559-567.
18. Bydder M, Perthen JE, Du J. Optimization of sensitivity encoding with arbitrary k-space trajectories. Magn Reson Imaging 2007;25:1123-1129.
19. Hoge WS, Brooks DH, Madore B, Kyriakos W. On the regularization of SENSE and SPACE-RIP in parallel MR imaging. In: Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Arlington, VA, USA, April 15-18, 2004. New York: Institute of Electrical and Electronics Engineers. p 241-244.
20. Pruessmann KP, Weiger M, Boernert P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn Reson Med 2001;46:638-651.
21. Qu P, Zhong K, Zhang B, Wang J, Shen GX. Convergence behavior of iterative SENSE reconstruction with non-Cartesian trajectories. Magn Reson Med 2005;54:1040-1045.
22. Samsonov AA, Kholmovski EG, Parker DL, Johnson CR. POCSENSE: POCS-based reconstruction method for sensitivity encoded magnetic resonance imaging. Magn Reson Med 2004;52:1397-1406.
23. Katscher U, Manke D. Underdetermined SENSE using a-priori knowledge. In: Proceedings of the 10thAnnualMeetingofISMRM, Honolulu, HI, USA, 2002 (Abstract 2396).
24. Tsao J, Pruessmann K, Boesiger P. Prior-information-enhanced dynamic imaging using single or multiple coils with k-t BLAST and k-t SENSE. In: Proceedings ofthe 10th Annual Meeting of ISMRM, Honolulu, HI, USA, 2002 (Abstract 2369).
25. Block KT, Uecker M, Frahm J. Undersampled radial MRI using multiple coils: iterative image reconstruction using a total variation constraint. Magn Reson Med 2007;57:1086-1098.
26. Velikinia JV. VAMPIRE: variation minimizing parallel imaging reconstruction. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami, 2005 (Abstract 2424).
27. Ying L, Liu B, Steckner MK, Wu G, Sheng J, Wu M, Li S-J. A statistical approach to SENSE regularization with arbitrary trajectories. Magn Reson Med 2008;60:414-421.
28. Osher S, Burger M, Goldfarb D, Xu J, Yin W. An iterative regularization method for total variation based image restoration. Multiscale Modeling Simul 2005;4:460-489.
29. Chang T-C, He L, Fang T. MR image reconstruction from sparse radial samples using Bregman iteration. In: Proceedings of the 14th Annual Meeting of ISMRM, Seattle, WA, USA, 2006 (Abstract 696).
30. He L, Chang T-C, Osher S, Fang T, Speier P. MR image reconstruction by using the iterative refinement method and nonlinear inverse scale space methods. UCLA CAM Report 06-35, University of California, Los Angeles, 2006.
31. Rudin LI, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D 1992;60:259-268.
32. Bregman LM. The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Comp Math Math Phys 1967;7:200-217.
33. Bregman LM. Finding the common point of convex sets by the methods of successive projection. Dokl Akad Nauk USSR 1965;162:487-490.
34. Vogel C. Computational methods for inverse problems. Philadelphia: SIAM Press; 2002.
35. Wright SJ. Primal-dual interior-point methods. Philadelphia: SIAM Press; 1997.
36. Bernstein MA, King KF, Zhou X-H. Handbook of MRI pulse sequences. New York: Academic Press; 2004.
37. Ying L, Sheng J. Joint image reconstruction and sensitivity estimation in SENSE (JSENSE). Magn Reson Med 2007;57:1196-1202.
38. Candès E, Romberg J, Tao T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inf Theory 2006;52:489-509.
39. Donoho D. Compressed sensing. IEEE Trans Inf Theory 2006;52:1289-1306.
40. Chen S, Donoho D, Saunders M. Atomic decomposition by basis pursuit. Siam J Sci Comp 1999;20:33-61.
41. Yin W, Osher S, Darbon J, Goldfarb D. Bregman iterative algorithms for compressed sensing and related problems. SIAM J Imaging Sciences 2008;1:143-168.
42. Lustig M, Donoho D, Pauly JM. Sparse MRI: the application of com- pressed sensing for rapid MR imaging. Magn Reson Med 2007;58:1182-1195.
43. Gamper U, Boesiger P, Kozerke S. Compressed sensing in dynamic MRI. Magn Reson Med 2008;59:365-373.
44. Liu B, Sebert F, Zou YM, Ying L. SparseSENSE: application of compressed sensing in parallel MRI. In: Proceedings of the 16th Annual Meeting of ISMRM, Toronto, Ontario, Canada, 2008 (abstract 3154).