Regularized MR coil sensitivity estimation using augmented Lagrangian methods

Proceedings - International Symposium on Biomedical Imaging

Volumn , Issue , 2012, Pages 394-397

  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; CONJUGATE GRADIENT METHOD; LAGRANGE MULTIPLIERS; MAGNETIC RESONANCE; MEDICAL IMAGING;

ESTIMATION;

EID: 84864859052     PISSN: 19457928     EISSN: 19458452     Source Type: Conference Proceeding    
DOI: 10.1109/ISBI.2012.6235567     Document Type: Conference Paper

References (14)

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. S. O. Schönberg, O. Dietrich, M. F. Reiser, and A. L. Baert, Parallel Imaging in Clinical MR Applications, Medical Radiology Diagnostic Imaging Series. Springer, 2007.
3. S. L. Keeling and R. Bammer, "A variational approach to magnetic resonance coil sensitivity estimation," Applied Mathematics and Computation, vol. 158, no. 2, pp. 53-82, Nov. 2004.
4. D. J. Larkman and R. G. Nunes, "Parallel magnetic resonance imaging," Phys. Med. Biol., vol. 52, no. 7, pp. R15-R55, Apr. 2007.
5. 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," in Proc. SPIE 3978, 2000, vol. 12.
6. F. H. Lin, Y. J. Chen, J. W. Belliveau, and L. L. Wald, "A wavelet-based approximation of surface coil sensitivity profiles for correction of image intensity inhomogeneity and parallel imaging reconstruction," Hum. Brain Map., vol. 19, no. 2, pp. 96-111, Mar. 2003.
7. M. A. G. Ballester, Y. Machida, Y. Kassai, Y. Hamamura, and H. Sugimoto, "Robust estimation of coil sensitivities for RF subencoded acquisition techniques," in Proc. Intl. Soc. Mag. Res. Med., 2001, p. 799.
8. 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, July 2002.
9. M. J. Allison and J. A. Fessler, "An augmented Lagrangian method for MR coil sensitivity estimation," in Proc. Intl. Soc. Mag. Res. Med., 2011, p. 2881.
10. S. Ramani and J. A. Fessler, "Parallel MR image reconstruction using augmented Lagrangian methods," IEEE Trans. Med. Imag., vol. 30, no. 3, pp. 694-706, Mar. 2011.
11. R. Glowinski and P. L. Tallec, Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Soc. Indust. Appl. Math., 1989.
12. R. H. Chan, "Circulant preconditioners for Hermitian Toeplitz systems," SIAM J. Matrix. Anal. Appl., vol. 10, no. 4, pp. 542-50, 1989.
13. J. Eckstein and D. P. Bertsekas, "On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators," Mathematical Programming, vol. 55, no. 1-3, pp. 293-318, Apr. 1992.
14. 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.