Accelerated regularized estimation of MR coil sensitivities using augmented lagrangian methods

IEEE Transactions on Medical Imaging

Volumn 32, Issue 3, 2013, Pages 556-564

  Allison, Michael J ^a   Ramani, Sathish ^a   Fessler, Jeffrey A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Augmented Lagrangian; coil sensitivity; finite differences; parallel imaging; quadratic minimization

Indexed keywords

AUGMENTED LAGRANGIANS; COIL SENSITIVITY; FINITE DIFFERENCE; PARALLEL IMAGING; QUADRATIC MINIMIZATION;

ALGORITHMS; COST FUNCTIONS; ESTIMATION; IMAGING TECHNIQUES; LAGRANGE MULTIPLIERS; MAGNETIC RESONANCE; NUMERICAL METHODS;

COST BENEFIT ANALYSIS;

ALGORITHM; ARTICLE; AUGMENTED LAGRANGIAN METHOD; FOURIER TRANSFORMATION; NEUROIMAGING; NUCLEAR MAGNETIC RESONANCE IMAGING; SCINTIMAMMOGRAPHY; SIGNAL NOISE RATIO; BRAIN; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HISTOLOGY; HUMAN; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; PHANTOMS, IMAGING; SENSITIVITY AND SPECIFICITY;

EID: 84874847224     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2012.2229711     Document Type: Article

References (40)

1. K. P. Pruessmann, M. Weiger, M. B. Scheidegger, and P. Boesiger, "SENSE: Sensitivity encoding for fast MRI," Mag. Res. Med., vol. 42, no. 5, pp. 952-62, Nov. 1999.
2. D. K. Sodickson andW. J.Manning, "Simultaneous acquisition of spatial harmonics (SMASH): Fast imaging with radiofrequency coil arrays," Mag. Res. Med., vol. 38, no. 4, pp. 591-603, Oct. 1997.
3. J. Tsao, P. Boesiger, and K. P. Pruessmann, "k-t BLAST and k-t SENSE: DynamicMRI with high frame rate exploiting spatiotemporal correlations," Mag. Res. Med., vol. 50, no. 5, pp. 1031-42, Nov. 2003.
4. S. O. Schönberg, O. Dietrich, M. F. Reiser, and A. L. Baert, "Parallel imaging in clinicalMR applications," inMedical Radiology Diagnostic Imaging Series. New York: Springer, 2007.
5. S. L. Keeling and R. Bammer, "A variational approach to magnetic resonance coil sensitivity estimation," Appl. Math. Comput., vol. 158, no. 2, pp. 53-82, Nov. 2004.
6. D. J. Larkman and R. G. Nunes, "Parallel magnetic resonance imaging," Phys. Med. Biol., vol. 52, no. 7, pp. R15-R55, Apr. 2007.
7. R. Bammer, R. Stollberger, M. J. Augustin, T. Seifert, S. Strasser- Fuchs, P. Wach, H. P. Hartung, and F. Fazekas, "Parallel imaging strategies for high-speed magnetic resonance diffusion imaging," Proc. SPIE, vol. 12, pp. 12-22, 2000.
8. L. Ying and J. Sheng, "Joint image reconstruction and sensitivity estimation in SENSE (JSENSE)," Mag. Res. Med., vol. 57, no. 6, pp. 1196-1202, Jun. 2007.
9. P. Vemuri, E. G. Kholmovski, D. L. Parker, and B. E. Chapman, "Coil sensitivity estimation for optimal SNR reconstruction and intensity inhomogeneity correction in phased array MR imaging," Inf. Process. Med. Imag., pp. 603-14, 2005.
10. F. H. Lin, Y. J. Chen, J. W. Belliveau, and L. L. Wald, "A waveletbased approximation of surface coil sensitivity profiles for correction of image intensity inhomogeneity and parallel imaging reconstruction," Human Brain Map., vol. 19, no. 2, pp. 96-111, Mar. 2003.
11. M. A. G. Ballester, Y.Machida, Y. Kassai, Y. Hamamura, and H. Sugimoto, "Robust estimation of coil sensitivities for RF subencoded acquisition techniques," Proc. Int. Soc. Mag. Res.Med., p. 799, 2001.
12. J. Jin, F. Liu, E. Weber, Y. Li, and S. Crozier, "An electromagnetic reverse method of coil sensitivity mapping for parallelMRI - theoretical framework," J. Magn. Reson., vol. 207, no. 1, pp. 59-68, 2010.
13. R. Bammer, M. Auer, S. L. Keeling, M. Augustin, L. A. Stables, R.W. Prokesch, R. Stollberger, M. E. Moseley, and F. Fazekas, "Diffusion tensor imaging using single-shot SENSE-EPI," Mag. Res. Med., vol. 48, no. 1, pp. 128-36, Jul. 2002.
14. F. Huang, Y. Chen, G. R. Duensing, J. Akao, A. Rubin, and C. Saylor, "Application of partial differential equation-based inpainting on sensitivity maps," Mag. Res. Med., vol. 53, no. 2, pp. 388-97, Feb. 2005.
15. L. L. Wald, "Parallel imaging update: How many elements do we need?," Proc. Int. Soc. Mag. Res. Med., p. 202, 2006.
16. M. J. Allison and J. A. Fessler, "An augmented Lagrangian method for MR coil sensitivity estimation," Proc. Int. Soc.Mag. Res. Med., p. 2881, 2011.
17. D. P. Bertsekas, "Multiplier methods: A survey," Automatica, vol. 12, no. 2, pp. 133-45, Mar. 1976.
18. L. M. Bregman, "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., vol. 7, pp. 200-17, 1967.
19. T. Goldstein and S. Osher, "The split Bregman method for L1-regularized problems," SIAM J. Imag. Sci., vol. 2, no. 2, pp. 323-43, 2009.
20. S. Ramani and J. A. Fessler, "Parallel MR image reconstruction using augmented Lagrangian methods," IEEETrans. Med. Imag., vol. 30, no. 3, pp. 694-706, Mar. 2011.
21. B. Liu, K. King, M. Steckner, J. Xie, J. Sheng, and L. Ying, "Regularized sensitivity encoding (SENSE) reconstruction using Bregman iterations," Mag. Res. Med., vol. 61, no. 1, pp. 145-52, Jan. 2009.
22. X. Ye, Y. Chen, and F. Huang, "Computational acceleration for MR image reconstruction in partially parallel imaging," IEEE Trans. Med. Imag., vol. 30, no. 5, pp. 1055-63, May 2011.
23. S. Ma,W. Yin, Y. Zhang, and A. Chakraborty, "An efficient algorithm for compressed MR imaging using total variation and wavelets," in Proc. IEEE Conf. Comp. Vis. Pattern Recognit., 2008, pp. 1-8.
24. M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, "An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems," IEEE Trans. Image Process., vol. 20, no. 3, pp. 681-695, Mar. 2011.
25. M. V. Afonso, J. M. Bioucas-Dias, and M. A. T. Figueiredo, "Fast image recovery using variable splitting and constrained optimization," IEEE Trans. Image Process., vol. 19, no. 9, pp. 2345-56, Sep. 2010.
26. S. Ramani and J. A. Fessler, "A splitting-based iterative algorithm for accelerated statistical X-ray CT reconstruction," IEEE Trans. Med. Imag., vol. 31, no. 3, pp. 677-88, Mar. 2012.
27. M. A. T. Figueiredo and J. M. Bioucas-Dias, "Restoration of Poissonian images using alternating direction optimization," IEEE Trans. Imag. Process., vol. 19, no. 12, pp. 3133-45, Dec. 2010.
28. J. Eckstein and D. P. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators," Math. Programm., vol. 55, no. 1-3, pp. 293-318, Apr. 1992.
29. R. Glowinski and P. L. Tallec, Augmented Lagrangian and Operator- Splitting Methods in Nonlinear Mechanics. Philadelphia, PA: SIAM, 1989.
30. M. J. Allison, S. Ramani, and J.A. Fessler, "RegularizedMRcoil sensitivity estimation using augmented Lagrangianmethods," in Proc. IEEE Int. Symp. Biomed. Imag., 2012, pp. 394-7.
31. Y. Wang, J. Yang, W. Yin, and Y. Zhang, "A new alternating minimization algorithm for total variation image reconstruction," SIAM J. Imag. Sci., vol. 1, no. 3, pp. 248-72, 2008.
32. R. H. Chan, "Circulant preconditioners for Hermitian Toeplitz systems," SIAM J. Matrix. Anal. Appl., vol. 10, no. 4, pp. 542-50, 1989.
33. D. L. Collins, A. P. Zijdenbos, V. Kollokian, J. G. Sled, N. J. Kabani, C. J. Holmes, and A. C. Evans, "Design and construction of a realistic digital brain phantom," IEEE Trans. Med. Imag., vol. 17, no. 3, pp. 463-8, Jun. 1998.
34. M. I. Grivich and D. P. Jackson, "The magnetic field of current-carrying polygons: An application of vector field rotations," Amer. J. Phys., vol. 68, no. 5, pp. 469-74, May 2000.
35. P. B. Roemer, W. A. Edelstein, C. E. Hayes, S. P. Souza, and O. M. Mueller, "The NMR phased array," Mag. Res. Med., vol. 16, no. 2, pp. 192-225, Nov. 1990.
36. C. A. McKenzie, E. N. Yeh, M. A. Ohliger, M. D. Price, and D. K. Sodickson, "Self-calibrating parallel imaging with automatic coil sensitivity extraction," Mag. Res. Med., vol. 47, no. 3, pp. 529-38, Mar. 2002.
37. A.K. Funai, J.A. Fessler, D. T. B.Yeo, V.T. Olafsson, and D. C. Noll, "Regularized field map estimation in MRI," IEEE Trans. Med. Imag., vol. 27, no. 10, pp. 1484-94, Oct. 2008.
38. A. Funai, J. A. Fessler, W. Grissom, and D. C. Noll, "Regularized B1+ map estimation inMRI," in Proc. IEEE Int. Symp. Biomed. Imag., 2007, pp. 616-9.
39. V. T. Olafsson, D. C. Noll, and J. A. Fessler, "Fast joint reconstruction of dynamic and field maps in functional MRI," IEEE Trans. Med. Imag., vol. 27, no. 9, pp. 1177-88, Sep. 2008.
40. M. J.Allison and J.A. Fessler, "Accelerated computation of regularized fieldmap estimates," Proc. Int. Soc.Mag. Res.Med., p. 0413, 2012.