Momentum-Weighted Conjugate Gradient Descent Algorithm for Gradient Coil Optimization

Magnetic Resonance in Medicine

Volumn 51, Issue 1, 2004, Pages 158-164

  Lu, Hanbing ^a   Jesmanowicz, Andrzej ^a   Li, Shi Jiang ^a   Hyde, James S ^a  

^a MEDICAL COLLEGE OF WISCONSIN   (United States)

Author keywords

Coil efficiency; Conjugate gradient descent; Field uniformity; Gradient coil; Levenberg Marquardt algorithm

Indexed keywords

CONSTRAINED OPTIMIZATION; EFFICIENCY; MOMENTUM;

COIL EFFICIENCY; CONJUGATE GRADIENT DESCENTS; FIELD UNIFORMITY; GRADIENT COIL; LEVENBERG-MARQUARDT ALGORITHM;

CONJUGATE GRADIENT METHOD;

ALGORITHM; ARTICLE; BRAIN; HUMAN; IMAGING; MATHEMATICAL ANALYSIS; NONHUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; RAT;

EID: 0346373770     PISSN: 07403194     EISSN: None     Source Type: Journal    
DOI: 10.1002/mrm.10662     Document Type: Article

References (25)

1. Turner R. Gradient coil design: a review of methods. Magn Reson Imag 1993;11:903-920.
2. Lu H, Jesmanowicz A, Li S-J, Hyde JS. Short gradient coil design using efficiency-optimized remote current return paths. In: Proc 9th Annual Meeting ISMRM. Glasgow. 2001. p 613.
3. Wong EC. Jesmanowicz A, Hyde JS. Coil optimization for MRI by conjugate gradient descent. Magn Reson Med 1991;21:39-48.
4. Buszko ML, Kempka MF. Szczesniak E, Wang DC, Andrew ER. Optimization of transverse gradient coils with coaxial return paths by simulated annealing. J Magn Res 1996:112(B):207-213.
5. Fisher BJ, Dillon N. Carpenter TA, Hall LD. Design of a biplanar gradient coil using a genetic algorithm. Magn Reson Imag 1997;15: 369-376.
6. Crozier S, Doddrell DM. Gradient-coil design by simulated annealing. J Magn Reson 1993;103(A):354-357.
7. Crozier S, Forbes LK, Doddrell DM. The design of transverse gradient coils of restricted length by simulated annealing. J Magn Reson 1994; 107(A):126-128.
8. Tomassi D, Caparelli EC, Panepucci H, Foerster B. Fast optimization of a biplanar gradient coil set. J Magn Reson 1999;140:325-339.
9. Brey WW, Mareci TH, Dougherty J. A field-gradient coil using concentric return paths. J Magn Res 1996;112(B):124-130.
10. Mao J, Mareci TH, Scott KN, Andrew ER. Selective inversion radiofrequency pulses by optimal control. J Magn Res 1986;70:310-318.
11. Pruessman KP, Weiger M, Bornert P, Boesiger P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn Reson Med 2001; 46:638-651.
12. Lu H, Jesmanowicz A, Hyde JS. A technique for Hessian matrix formation for gradient coil optimization. In: Proc 10th Annual Meeting ISMRM, Honolunu, 2002. p 813.
13. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical recipes in C. New York: Cambridge University Press; 1992. p 412-424, p 681-685.
14. Hagan MT, Demuth HB, Beale M. Neural network design. Boston: PWS Publishing; 1996. p 19-31.
15. Levenberg K. A method for the solution of certain problems in least squares. Q Appl Math 1944;2:164-168.
16. Marquardt D. An algorithm for least-squares estimation of nonlinear parameters. SIAM J Appl Math 1963;11:431-441.
17. Chronik BA, Alejski A, Rutt BK. Design and fabrication of a three-axis edge ROU head and neck gradient coil. Magn Res Med 2000;44:955-963.
18. Chronik BA, Rutt BK. Constrained length minimum inductance gradient coil design. Magn Res Med 1998;39:270-278.
19. Mansfield P, Chapman BLW, Bowtell R, Glover P, Coxon R, Harvey PR. Active acoustic screening: reduction of noise in gradient coils by Lorentz force balancing. Magn Reson Med 1995;33:276-281.
20. Bowtell R, Peters A. Analytical approach to the design of transverse gradient coils for co-axial return paths. Magn Reson Med 1999;41:600-608.
21. Chapman BLW, Mansfield P. A quiet gradient-coil set employing optimized, force-shielded, distributed coil designs. J Magn Res 1995;107: 152-157.
22. Lu H, Jesmanowicz A, Mazaheri Y, Hyde JS. Reference scan navigator-aided half k-space interleaved EPI for high resolution fMRI at 3T. In: Proc 10th Annual Meeting ISMRM, Honolulu, 2002. p 2372.
23. Bandettini PA, Jesmanowicz A, Wong EC, Hyde JS. Processing strategies for time-course data sets in functional MRI of the human brain. Magn Reson Med 1993;30:161-173.
24. Cox RW, Hyde JS. Software tools for analysis and visualization of fMRI data. NMR Biomed 1997;10:171-178.
25. McKinnon GC. Ultrafast interleaved gradient-echo-planar imaging on a standard scanner. Magn Reson Med 1993;30:609-616.