Decomposed direct matrix inversion for fast non-Cartesian SENSE reconstructions

Magnetic Resonance in Medicine

Volumn 56, Issue 2, 2006, Pages 356-363

  Qian, Yongxian ^a,d   Zhang, Zhenghui ^a,b   Wang, Yi ^a,c   Boada, Fernando E ^a,b  

^a UNIVERSITY OF PITTSBURGH SCHOOL OF MEDICINE   (United States)

^b PA 15260   (United States)

^c WEILL CORNELL MEDICAL COLLEGE   (United States)

^d UNIVERSITY OF PITTSBURGH MEDICAL CENTER   (United States)

Author keywords

Image reconstruction; Matrix inversion; MRI; Non Cartesian trajectory; Parallel imaging; SENSE

Indexed keywords

IMAGE RECONSTRUCTION; INVERSE PROBLEMS; ITERATIVE METHODS; MAGNETIC RESONANCE IMAGING; PHANTOMS; TRAJECTORIES;

DIRECT MATRIX INVERSION; HUMAN SUBJECT EXPERIMENTS; ITERATIVE ALGORITHM; MATRIX INVERSIONS; NON-CARTESIAN; PARALLEL IMAGING; SENSE; SPIRAL TRAJECTORIES;

MATRIX ALGEBRA;

ALGORITHM; ARTICLE; DIRECT MATRIX INVERSION METHOD; FAST NON CARTESIAN SENSITIVITY ENCODING RECONSTRUCTION; IMAGE RECONSTRUCTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; PHANTOM; THEORETICAL MODEL; THREE DIMENSIONAL IMAGING;

EID: 33746686910     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.20974     Document Type: Article

References (27)

1. Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P. SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;42:952-962.
2. Pruessmann KP, Weiger M, Boernert P, Boesiger P. Spiral SENSE: sensitivity encoding with arbitrary k-space trajectories. In: Proceedings of the 7th Annual Meeting of ISMRM, Philadelphia, PA, USA, 1999. p 94.
3. Pruessmann KP, Weiger M, Börnert P, Boesiger P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn Reson Med 2001;46:638-651.
4. Jackson JI, Meyer CH, Nishimura DG, Macovski A. Selection of a convolution function for Fourier inversion using gridding. IEEE Trans Med Imaging 1991;MI-10:473-478.
5. 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.
6. Wajer FTAW, Pruessmann KP. Major speedup of reconstruction for sensitivity encoding with arbitrary trajectories. In: Proceedings of the 9th Annual Meeting of ISMRM, Glasgow, Scotland, 2001. p 767.
7. Samsonov AA, Kholmovski EG, Parker DL, Johnson CR. POCSENSE: POCS-based reconstruction for sensitivity encoding magnetic resonance imaging. Magn Reson Med 2004;52:1397-1406.
8. Eggers H, Boesiger P. Improved preconditioning for the non-Cartesian SENSE reconstruction with regularization. In: Proceedings of the 12th Annual Meeting of ISMRM, Kyoto, Japan, 2004. p 2409.
9. Beatty PJ, Pauly JM, Nishimura DG. Rapid 3D non-Cartesian SENSE reconstruction. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami, FL, USA, 2005. p 688.
10. Liu C, Moseley ME, Bammer R. Fast SENSE reconstruction using linear system transfer function. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, FL, USA, 2005. p 689.
11. Yeh EN, McKenzie CA, Obliger MA, Sodichson DK. Parallel magnetic resonance imaging with adaptive radius in k-space (PARS): constrained image reconstruction using k-space locality in radiofrequency coil encoded data. Magn Reson Med 2005;53:1383-1392
12. Heberlein KA, Kadah Y, Hu X. Segmented spiral parallel imaging using GRAPPA. In: Proceedings of the 12th Annual Meeting of ISMRM, Kyoto, Japan, 2004. p 328.
13. Griswold MA, Heidemann RM, Jakob PM. Direct parallel imaging of radially sampled data using GRAPPA with relative shift. In: Proceedings of the 11th Annual Meeting of ISMRM, Toronto, Canada, 2003. p 2349.
14. Samsonov AA, Block WF, Arunachalam A, Field AS. Advances in locally constrained k-space-based parallel MRI. Magn Reson Med 2006;55:431-438.
15. Qian Y, Zhang Z, Stenger VA, Wang Y. Self-calibrated spiral SENSE. Magn Reson Med 2004;52:688-692.
16. Yeh EN, Stuber M, McKenzie CA, Botnar RM, Leiner T, Ohliger MA, Grant AK, Willig-Onwuachi JD, Sodichson DK. Inherently self-calibrating non-Cartesian parallel imaging. Magn Reson Med 2005;54:1-8.
17. McKenzie CA, Yeh EN, Ohliger MA, Price MD, Sodichson DK. Self-calibrating parallel imaging with automatic coil sensitivity extraction. Magn Reson Med 2002;47:529-538.
18. Golub GH, Van Loan CF. Matrix computations. 3rd ed. Baltimore: Johns Hopkins University Press; 1998. p237.
19. Waltkins DS. Fundamentals of matrix computation. 2nd ed. New York: John Wiley & Sons, Inc.; 2002. p32.
20. Glover GH. Simple analytic spiral k-space algorithm. Magn Reson Med 1999;42:412-415.
21. Hoge RD, Kwan KS, Pike GB. Density compensation functions for spiral MRI. Magn Reson Med 1997;38:117-128.
22. Wang J. Estimation of coil sensitivity profile in k-space for parallel imaging. In: Proceedings of the 11th Annual Meeting of ISMRM, Kyoto, Japan, 2004. p 2408.
23. Eggers H, Mazurkewitz P, Boesiger P. Noise amplification in non-Cartesian parallel imaging. In: Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, FL, USA, 2005. p 2429.
24. Nezafat R, Kellman P, Derbyshire JA, McVeigh ER. Real-time blood flow imaging using autocalibrated spiral sensitivity encoding. Magn Reson Med 2005;54:1557-1561.
25. Tsao J, Kozerke S, Boesiger P, Pruessmann KP. Optimizing spatiotemporal sampling for k-t BLAST and k-t SENSE: application to high-resolution real-time cardiac steady-state free precession. Magn Reson Med 2005;53:1372-1382.
26. Zhu H, Buck DG, Zhang Z, Zhang H, Wang P, Stenger VA, Prince MR, Wang Y. High temporal and spatial resolution 4D MRA using spiral data sampling and sliding window reconstruction. Magn Reson Med 2004;52:14-18.
27. Boada FE, Gillen JS, Shen GX, Chang SY, Thulborn KR. Fast three dimensional sodium imaging. Magn Reson Med 1997;37:706-715.