Non-Cartesian data reconstruction using GRAPPA operator gridding (GROG)

Magnetic Resonance in Medicine

Volumn 58, Issue 6, 2007, Pages 1257-1265

  Seiberlich, Nicole ^a   Breuer, Felix A ^b   Blaimer, Martin ^c   Barkauskas, Kestutis ^d   Jakob, Peter M ^a,b   Griswold, Mark A ^c  

^a UNIVERSITY OF WÜRZBURG   (Germany)

^b Research Center Magnetic Resonance Bavaria (MRB)   (Germany)

^c CASE WESTERN RESERVE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^d Case Western Reserve University   (United States)

Author keywords

GRAPPA; Gridding; Image reconstruction; Non Cartesian; Parallel imaging

Indexed keywords

CALIBRATION; CONVOLUTION; MEAN SQUARE ERROR;

DATA RECONSTRUCTION; DENSITY COMPENSATION; GRAPPA; GRIDDING; NON-CARTESIAN; PARALLEL IMAGING; PARALLEL IMAGING METHOD; ROOT MEAN SQUARE ERRORS;

IMAGE RECONSTRUCTION;

ARTICLE; CALIBRATION; GRAPPA OPERATOR GRIDDING; IMAGE ANALYSIS; IMAGE ENHANCEMENT; IMAGE QUALITY; MATHEMATICAL MODEL; NUCLEAR MAGNETIC RESONANCE IMAGING; SIMULATION; TECHNIQUE; THREE DIMENSIONAL IMAGING;

EID: 36849019962     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.21435     Document Type: Article

References (35)

1. Ahn CB, Kim JH, Cho ZH. High-speed spiral-scan echo planar NMR imaging. IEEE Trans Med Imaging 1986;5:2-7.
2. Meyer CH, Hu BS, Nishimura DG, Macovski A. Fast spiral coronary artery imaging. Magn Reson Med 1992;28:202-213
3. Lauterbur PC. Image formation by induced local interactions: examples employing nuclear magnetic resonance. Nature 1973;242:190-191.
4. Glover GH, Pauly JM. Projection reconstruction techniques for reduction of motion effects in MRI. Magn Reson Med 1992;28:275-289.
5. Pipe JG. Motion-correction with PROPELLER MRI: application to head motion and free-breathing cardiac imaging. Magn Reson Med 1999;42:963-969.
6. Noll, DC. Multishot rosette trajectories for spectrally selective MR imaging. IEEE Trans Med Imaging 1997;16:372-377.
7. Scheffler K, Hennig J. Frequency resolved single-shot MR imaging using stochastic k-space trajectories. Magn Reson Med 1996;35:569-576.
8. Jackson JI, Meyer CH, Nishimura DG, Macovski A. Selection of a convolution function for Fourier inversion using gridding. IEEE Trans Med Imaging 1991;10:473-478.
9. Pipe JG, Menon P. Sampling density compensation in MRI: rationale and an iterative numerical solution. Magn Reson Med 1999;41:179-186.
10. Rosenfeld D. An optimal and efficient new gridding algorithm using singular value decomposition. Magn Reson Med 1998;40:14-23.
11. Rosenfeld D. New approach to gridding using regularization and estimation theory. Magn Reson Med 2002;48:193-202.
12. Moriguchi H, Duerk JL. Iterative next-neighbor regridding (INNG): improved reconstruction from nonuniformly sampled k-space data using rescaled matrices. Magn Reson Med 2004;51:343-352.
13. Gabr RE, Aksit P, Bottomley PA, Youssef AB, Kadah YM. Deconvolution-interpolation gridding (DING): accurate reconstruction for arbitrary k-space trajectories. Magn Reson Med 2006;56:1182-1191.
14. Sodickson DK, Manning WJ. Simultaneous acquisition of spatial harmonics (SMASH): fast imaging with radiofrequency coil arrays. Magn Reson Med 1997;38:591-603.
15. Jakob PM, Griswold MA, Edelman RR, Sodickson DK. AUTO-SMASH: a self-calibrating technique for SMASH imaging. Simultaneous acquisition of spatial harmonics. MAGMA 1998;7:42-54.
16. Pruessmann KP, Weiger M, Scheidegger MB, and Boesiger P. SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;42:952-962.
17. Kyriakos WE, Panych LP, Kacher DF, Westin CF, 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.
18. Griswold MA, Jakob PM, Nittka M, Goldfarb JW, Haase A. Partially parallel imaging with localized sensitivities (PILS). Magn Reson Med 2000;44:602-609.
19. Heidemann RM, Griswold MA, Haase A, Jakob PM. VD-AUTO-SMASH imaging. Magn Reson Med 2001;45:1066-1074.
20. Griswold MA, Jakob PM, Heidemann RM, Nittka M, Jellus V, Wang J, Kiefer B, Haase A. Generalized autocalibrating partially parallel acquisitions (GRAPPA). Magn Reson Med 2002;47:1202-1210.
21. 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 radiofrequency coil encoded data. Magn Reson Med 2005;53:1383-1392.
22. Samsonov AA, Block WF, Arunachalam A, Field AS. Advances in locally constrained k-space-based parallel MRI. Magn Reson Med 2006;55:431-438.
23. Seiberlich N, Blaimer M, Barkauskas KJ, Breuer FA, Jakob PM, Griswold MA. Non-Cartesian data gridding using GRAPPA operator gridding (GROG). In: Proceedings of the 23rd Annual Meeting of the ESMRMB, Warsaw, Poland, 2006, 204-205. Proc ESMRMB; 2006. p 300.
24. Griswold MA, Blaimer M, Breuer FA, Heidemann RM, Muller M, Jakob JM. Parallel magnetic resonance imaging using the GRAPPA operator formalism. Magn Reson Med 2005;54:1553-1556.
25. Blaimer M, Breuer FA, Heidemann RM, Mueller M, Griswold MA, Jakob PM. Is parallel MRI without a prior information possible? In: Proceedings of the 12th Annual Meeting of ISMRM, Kyoto, Japan, 2004 (Abstract 2417).
26. Pipe JG. Reconstructing MR images from undersampled data: data-weighting considerations. Magn Reson Med 2000;43:867-875.
27. Hoge RD, Kwan RK, Pike GB. Density compensation functions for spiral MRI. Magn Reson Med 1997;38:117-128.
28. Barkauskas KJ, Griswold MA, Sunshine JL, Duerk JL. Density compensation for trueFISP BLADE imaging in the steady-state (TrueBLISS). In: Proceedings of the 14th Annual Meeting of ISMRM, Seattle, WA, USA, 2006 (Abstract 2949).
29. Seiberlich N, Breuer FA, Blaimer M, Jakob PM, Griswold MA. Self-calibrated GRAPPA operator gridder (SC-GROG). In: Proceedings of the 15th Annual Meeting of ISMRM, Berlin, Germany, 2007 (Abstract 153).
30. Griswold M, Heidemann RM, Jakob PM. Direct parallel imaging reconstruction of radially sampled data using GRAPPA with relative shifts. In: Proceedings of the 11th Annual Meeting of ISMRM, Toronto, Ontario, Canada, 2003 (Abstract 2349).
31. Heidemann RM, Griswold MA, Seiberlich N, Kruger G, Kannengiesser SA, Kiefer B, Wiggins G, Wald LL, Jakob PM. Direction parallel imaging reconstructions for spiral trajectories using GRAPPA. Magn Reson Med 2006;56:317-326.
32. Heberlein K, Hu X. Auto-calibrated parallel spiral imaging. Magn Reson Med 2006;55:619-625.
33. Seiberlich N, Heidemann RM, Breuer FA, Blaimer M, Griswold MA, Jakob PM. Pseudo-Cartesian GRAPPA reconstruction of undersampled non-Cartesian data. In: Proceedings of the 14th Annual Meeting of ISMRM, Seattle, WA, USA, 2006 (Abstract 2436).
34. Seiberlich N, Breuer FA, Heidemann RM, Blaimer M, Griswold MA, Jakob PM. Reconstruction of arbitrary non-Cartesian trajectories using pseudo-Cartesian GRAPPA in conjunction with GRAPPA operator gridding (GROG). In: Proceedings of the 15th Annual Meeting of ISMRM, Berlin, Germany, 2007 (Abstract 334).
35. Seiberlich N, Breuer FA, Moriguchi H, Jakob PM, Griswold MA. Fully autocalibrated parallel imaging for arbitrary trajectories using a combination of GRAPPA operator gridding and conjugate-gradient optimization. In: Proceedings of the 15th Annual Meeting of ISMRM, Berlin, Germany, 2007 (Abstract 1742).