Sweep MRI with algebraic reconstruction
Corresponding Author
Markus Weiger
Bruker BioSpin AG, Faellanden, Switzerland
Bruker BioSpin MRI GmbH, Ettlingen, Germany
Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland
Bruker BioSpin AG, Industriestrasse 26, CH-8117 Faellanden, Switzerland===Search for more papers by this authorKlaas P. Pruessmann
Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland
Search for more papers by this authorCorresponding Author
Markus Weiger
Bruker BioSpin AG, Faellanden, Switzerland
Bruker BioSpin MRI GmbH, Ettlingen, Germany
Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland
Bruker BioSpin AG, Industriestrasse 26, CH-8117 Faellanden, Switzerland===Search for more papers by this authorKlaas P. Pruessmann
Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland
Search for more papers by this authorAbstract
In the recently proposed technique Sweep Imaging with Fourier Transform (SWIFT), frequency-modulated radiofrequency pulses are used in concert with simultaneous acquisition to facilitate MRI of samples with very short transverse relaxation time. In the present work, sweep MRI is reviewed from a reconstruction perspective and several extensions and modifications of the current methodology are proposed. An algorithm for algebraic image reconstruction is derived from a comprehensive description of signal formation, including interleaved radiofrequency transmission and acquisition of arbitrary timing as well as the relevant filtering and decimation steps along the receiver chain. The new reconstruction approach readily permits several measures of optimising the signal sampling strategy as demonstrated in simulations and imaging experiments. Employing a variety of radiofrequency pulse envelopes, water and rubber phantoms as well as bone samples with transverse relaxation time in the order of 500 μsec were imaged at signal bandwidths of up to 96 kHz. Magn Reson Med, 2010. © 2010 Wiley-Liss, Inc.
REFERENCES
- 1 Gatehouse PD, Bydder M. Magnetic resonance imaging of short T2 components in tissue. Clin Radiol 2003; 58; 1–19.
- 2 Eichinger M, Tetzlaff R, Puderbach M, Woodhouse N, Kauczor HU. Proton magnetic resonance imaging for assessment of lung function and respiratory dynamics. Eur J Radiol 2007; 64; 329–334.
- 3 Glover GH, Pauly JM, Bradshaw KM. Boron-11 imaging with a three-dimensional reconstruction method. J Magn Reson Imaging 1992; 2: 47–52.
- 4 Callaghan PT, Eccles CD. Sensitivity and resolution in NMR imaging. J Magn Reson 1987; 71: 426–445.
- 5 Rahmer J, Börnert P, Groen J, Bos C. Three-dimensional radial ultrashort echo-time imaging with T2 adapted sampling. Magn Reson Med 2006; 55: 1075–1082.
- 6 Hafner S. Fast imaging in liquids and solids with the back-projection low angle shot (BLAST) technique. Magn Reson Imaging 1994; 12: 1047–1051.
- 7 Madio DP, Lowe IJ. Ultra-fast imaging using low flip angles and FIDs. Magn Reson Med 1995; 34: 525–529.
- 8 Kuethe DO, Caprihan A, Fukushima E, Waggoner RA. Imaging lungs using inert fluorinated gases. Magn Reson Med 1998; 39: 85–88.
- 9 Wu Y, Ackerman JL, Chesler DA, Li J, Neer RM, Wang J, Glimcher MJ. Evaluation of bone mineral density using three-dimensional solid state phosphorus-31 NMR projection imaging. Calcif Tissue Int 1998; 62: 512–518.
- 10 Zhu G, Torchia DA, Bax A. Discrete Fourier transformation of NMR signals. The relationship between sampling delay time and spectral baseline. J Magn Reson A 1993; 105: 219–222.
- 11 Kuethe DO, Transforming NMR data despite missing points. J Magn Reson 1999; 139: 18–25.
- 12 Balcom BJ, MacGregor RP, Beyea SD, Green DP, Armstrong RL, Bremner TW. Single-point ramped imaging with T1 enhancement (SPRITE). J Magn Reson A 1996; 123: 131–134.
- 13 Kunz DW. Use of frequency-modulated radiofrequency pulses in MR imaging experiments. Magn Reson Med 1986; 3: 377–384.
- 14 Pipe JG. Spatial encoding and reconstruction in MRI with quadratic phase profiles. Magn Reson Med 1995; 33: 24–33.
- 15 Idiyatullin D, Corum C, Moeller S, Garwood M. Gapped pulses for frequency-swept MRI. J Magn Reson 2008; 193: 267–273.
- 16 Idiyatullin D, Corum C, Park JY, Garwood M. Fast and quiet MRI using a swept radiofrequency, J Magn Reson 2006; 181: 342–349.
- 17 Corum CA, Idiyatullin D, Moeller S, Garwood M. Progress in 3d Imaging at 4 T with SWIFT. In: Proceedings of International Society of Magnetic Resonance in Medicine, Berlin, 2007. p 1330.
- 18 Dadok J, Sprecher RF. Correlation NMR spectroscopy. J Magn Reson 1974; 13: 243–248.
- 19 Gupta RK, Ferretti JA, Becker ED. Rapid scan Fourier transform NMR spectroscopy. J Magn Reson 1974; 13: 275–290.
- 20 Corum CA, Moeller S, Idiyatullin D, Garwood M. Signal processing and image reconstruction for SWIFT. In: Proceedings of International Society of Magnetic Resonance in Medicine, Berlin, 2007. p 1669.
- 21 Moeller S, Corum CA, Idiyatullin D, Chamberlain R, Garwood M. Correction of RF pulse distortions in radial imaging using SWIFT, In: Proceedings of International Society of Magnetic Resonance in Medicine, Toronto, 2008. p. 229.
- 22 Weiger M, Pruessmann KP, Hennel F. Reconstruction strategies for MRI with simultaneous excitation and acquisition. In: Proceedings of International Society of Magnetic Resonance in Medicine, Honolulu, 2009. p. 557.
- 23 Weiger M, Pruessmann KP, Tabbert M, Hennel F. Sampling strategies for MRI with simultaneous excitation and acquisition. In: Proceedings of International Society of Magnetic Resonance in Medicine, Honolulu, 2009. p. 252.
- 24 Moskau D. Application of real time digital filters in NMR spectroscopy. Concepts Magn Reson 2002; 15: 164–176.
- 25 Tannus A, Garwood M. Improved performance of frequency-swept pulses using offset-independent adiabaticity. J Magn Reson A 1996; 120: 133–137.
- 26 Hennig J. Multiecho imaging sequences with low refocusing flip angles. J Magn Reson 1988; 78: 397–407.
- 27 Gordon R, Bender R, Herman GT. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography. J Theor Biol 1970; 29: 471–481.
- 28 Andersen AH. Algebraic reconstruction in CT from limited views. IEEE Trans Med Imaging 1989; 8: 50–55.
- 29
Pruessmann KP,
Weiger M,
Scheidegger MB,
Boesiger P.
SENSE: sensitivity encoding for fast MRI.
Magn Reson Med
1999;
42:
952–962.
10.1002/(SICI)1522-2594(199911)42:5<952::AID-MRM16>3.0.CO;2-S CAS PubMed Web of Science® Google Scholar
- 30 Pruessmann KP. Encoding and reconstruction in parallel MRI. NMR Biomed 2006; 19: 288–299.
- 31 Lin FH, Kwong KK, Belliveau JW, Wald LL. Parallel imaging reconstruction using automatic regularization. Magn Reson Med 2004; 51: 559–567.
- 32 Sanchez-Gonzalez J, Tsao J, Dydak U, Desco M, Boesiger P, Pruessmann KP. Minimum-norm reconstruction for sensitivity-encoded magnetic resonance spectroscopic imaging. Magn Reson Med 2006; 55: 287–295.
- 33 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.
- 34 Schulte RF, Tsao J, Boesiger P, Pruessmann KP. Equi-ripple design of quadratic-phase RF pulses. J Magn Reson 2004; 166: 111–122.
- 35 Schulte RF, Henning A, Tsao J, Boesiger P, Pruessmann KP. Design of broadband RF pulses with polynomial-phase response. J Magn Reson 2007; 186: 167–175.
- 36 Brittain JH, Shankaranarayanan A, Ramanan V, Shimakawa A, Cunningham CH, Hinks S, Francis R, Turner R, Johnson JW, Nayak KS, Tan S, Pauly JM, Bydder GM. Ultrashort TE imaging with single-digit (8 μs) TE. In: Proceedings of the 12th Annual Meeting of ISMRM, Kyoto, Japan, 2004. p. 629.
- 37 Valette J, Moeller S, Idiyatullin D, Corum C, Le Bihan D, Garwood M, Lethimonnier F. Implementation of SWIFT on a Siemens clinical scanner. In: Proceedings of International Society of Magnetic Resonance in Medicine, Honolulu, 2009. p. 2672.
- 38 Pruessmann KP, Weiger M, Börnert P, Boesiger P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn Reson Med 2001; 46: 638–651.
- 39 Twieg DB. The k-trajectory formulation of the NMR imaging process with applications in analysis and synthesis of imaging methods. Med Phys 1983; 10: 610–621.
- 40
Hennig J,
Hodapp M.
Burst imaging.
Magn Reson Mater Phys
1993;
1:
39–48.
10.1007/BF02660372 Google Scholar
- 41 Liu G, Sobering G, Duyn J, Moonen CT. A functional MRI technique combining principles of echo-shifting with a train of observations (PRESTO). Magn Reson Med 1993; 30: 764–768.