Shim design using a linear programming algorithm

Magnetic Resonance in Medicine

Volumn 52, Issue 3, 2004, Pages 619-627

  Ungersma, Sharon E ^a   Xu, Hao ^b   Chronik, Blaine A ^a   Scott, Greig C ^b   Macovski, Al ^b   Conolly, Steven M ^b  

^a STANFORD UNIVERSITY   (United States)

^b Stanford University   (United States)

Author keywords

Linear programming; Magnet design; MRI magnets; Shim coil design; Shim coils

Indexed keywords

BRAIN MAPPING; DESIGN; GEOMETRY; LINEAR PROGRAMMING; MAGNETIC RESONANCE IMAGING; MAGNETS; SCANNING;

ARBITRARY SURFACES; HOMOGENEOUS REGIONS; IMAGING MAGNETS; LINEAR PROGRAMMING ALGORITHM; MAGNET DESIGNS; MRI MAGNETS; SCANNER GEOMETRY; SHIM COIL DESIGNS;

SHIMS;

ALGORITHM; ARTICLE; GEOMETRY; KNEE; MAGNET; NUCLEAR MAGNETIC RESONANCE IMAGING; SYSTEM ANALYSIS;

EID: 4243066286     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/mrm.20176     Document Type: Article

References (28)

1. Schenck JF. The role of magnetic susceptibility in magnetic resonance imaging: MRI magnetic compatibility of the first and second kinds. Med Phys 1996;23:815-850.
2. Spielman DM, Adalsteinsson E, Lim KO. Quantitative assessment of improved homogeneity using higher-order shims for spectroscopic imaging of the brain. Magn Reson Med 1998;40:376-382.
3. Morrell G, Spielman D. Dynamic shimming for multi-slice magnetic resonance imaging. Magn Reson Med 1997;38:477-483.
4. Lipson AC, Gargollo PC, Black PM. Intraoperative magnetic resonance imaging: considera-tions for the operating room of the future. J Clin Neurosci 2001;8:305-310.
5. Kersting-Sommerhoff B, Hof N, Lenz M, Gerhardt P. MRI of peripheral joints with a low-field dedicated system: a reliable and cost-effective alternative to high-field units? Eur Radiol 1996;6:561-565.
6. van Oort JM, Laskaris ET, Thompson PS, Dorri B, Herd KG. A cryogen-free 0.5 Tesla MRI magnet for head imaging. In: Proceedings of the International Cryogenic Materials Conference, Portland, Oregon, 1997.
7. Zhao H, Crozier S, Doddrell DM. Asymmetric MRI magnet design using a hybrid numerical method. J Magn Reson 1999;141:340-346.
8. Forbes LK, Crozier S. A novel target-field method for finite-length magnetic resonance shim coils: I. Zonal shims. J Phys D (Appl Phys) 2001;34:3447-3455.
9. Xu H, Conolly SM, Scott GC, Macovski A. Homogeneous magnet design using linear pro-gramming. IEEE Trans Magn 2000:476-483.
10. Golay M. Field homogenizing coils for nuclear spin resonance instrumentation. Rev Sci Instrum 1958;29:313-315.
11. Romeo F, Hoult DI. Magnet field profiling: analysis and correcting coil design. Magn Reson Med 1984;1:44-65.
12. Bobrov ES, Punchard WFB. A general method of design of axial and radial shim coils for NMR and MRI magnets. IEEE Trans Magn 1988;24:533-536.
13. Turner R. A target field approach to optimal coil design. J Phys D (Appl Phys) 1986;19:147-151.
14. Chronik BA, Rutt BK. Constrained length minimum inductance gradient coil design. Magn Reson Med 1998;39:270-278.
15. Forbes LK, Crozier S. A novel target-field method for finite-length magnetic resonance shim coils. II. Tesseral shims. J Phys D (Appl Phys) 2002;35:839-849.
16. Crozier S, Doddrell DM. Gradient-coil design by stimulated annealing. J Magn Reson Ser A 1993;103:354-357.
17. Konzbul P, Sveda K. Shim coils for NMR and MRI solenoid magnets. Meas Sci Technol 1995;6:1116-1123.
18. Chladek J, Konzbul P, Osmera P, Gottvald A. Evolutionary and genetic optimization of NMR gradient and shim coils. IEEE Trans Magn 2000;36:1102-1105.
19. Hoult DI, Deslauriers R. Accurate shim-coil design and magnetfield profiling by a power-minimization-matrix method. J Magn Reson Ser A 1994;108:9-20.
20. Zhao H, Crozier S, Doddrell DM. A hybrid, inverse approach to the design of magnetic resonance imaging magnets. Med Phys 2000;27:599-607.
21. Ishiyama A, Yokoi T, Takamori S, Onuki T. An optimal design technique for MRI supercon-ducting magnets using mathematical programming method. IEEE Trans Magn 1988;24:922-925.
22. Williams JEC, Bobrov ES, Iwasa Y, Punchard WFB, Wrenn J, Zhukovsky A. NMR magnet technology at MIT. IEEE Trans Magn 1992;28:627-630.
23. Dorri B, Vermilyea ME. Passive shimming of MR magnets: algorithm, hardware, and results. IEEE Trans Appl Superconduct 1993;3:254-257.
24. Carlson JW, Derby KA, Hawryszko KC, Weideman M. Design and evaluation of shielded gradient coils. Magn Reson Med 1992;26:191-206.
25. Gill PE, Murray W, Wright MH. Practical optimization. London: Academic Press; 1981.
26. Sierksma G. Linear and integer programming. New York: Marcel Dekker; 2002.
27. Morgan P, Conolly S, Scott G, Macovski A. A readout magnet for prepolarized MRI. Magn Reson Med 1996;36:527-536.
28. Carlson JW, Goldhaber DM, Brito A, Kaufman L. MR relaxometry imaging. Radiology 1992;184:635-639.