Chebyshev series for designing RF pulses employing an optimal control approach

IEEE Transactions on Medical Imaging

Volumn 23, Issue 11, 2004, Pages 1445-1452

  Ulloa, Jose Luis ^a   Guarini, Marcelo ^a   Guesalaga, Andres ^a   Irarrazaval, Pablo ^a  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

Author keywords

Dynamic optimization; Excitation design; MRI selective excitation; Pseudospectral methods; Pulse sequences

Indexed keywords

ALGORITHMS; CMOS INTEGRATED CIRCUITS; MAGNETIZATION; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING;

DYNAMIC OPTIMIZATION; EXCITATION DESIGNS; PULSE SEQUENCES;

OPTIMAL CONTROL SYSTEMS;

ALGORITHM; ARTICLE; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; IMAGE ENHANCEMENT; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; RADIOFREQUENCY RADIATION; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; VALIDATION STUDY;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; RADIO WAVES; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 9244261574     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2004.835602     Document Type: Article

References (24)

1. Z. Liang and P. Lauterbur, Principles of Magnetic Resonance Imaging, ser. Biomedical Engineering. Piscataway, NJ: IEEE, 2000.
2. W. Hinshaw and A. Lent, "An introduction to NMR imaging: From the Bloch equation to the imaging equation," Proc. IEEE, vol. 71, pp. 338-350, Mar. 1983.
3. J. Pauly, P. L. Roux, D. Nishimura, and A. Macovski, "Parameter relations for the Shinnar-Le Roux selective excitation pulse design algorithm," IEEE Trans. Med. Imag., vol. 10, pp. 53-65, Mar. 1991.
4. V. Ikinomidou and G. Sergiadis, "Improved Shinnar-Le Roux algorithm," J. Magn. Reson., vol. 143, no. 1, pp. 30-34, Mar. 2000.
5. J. Shen, "Delayed-focus pulses optimized using simulated annealing," J. Magn. Reson., vol. 149, no. 2, pp. 234-238, Apr. 2001.
6. X.-L. Wu, P. Xu, and R. Freeman, "Delayed-focus pulses for magnetic resonance imaging: An evolutionary approach," Magn. Reson. Med., vol. 20, pp. 165-170, Apr. 1991.
7. A. Khalifa, A.-B. Youssef, and Y. Kadah, "Rf pulse design using combinatorial optimization," presented at the 10th Scientific Meeting and Exhibition, Honolulu, HI, 2002.
8. S. Conolly, D. Nishimura, and A. Macovski, "Optimal control solutions to the magnetic resonance selective excitation problem," IEEE Trans. Med. Imag., vol. MI-5, pp. 106-115, June 1986.
9. M. Guarini and O. Palusinski, "Functional relaxations and spectral techniques in computer-aided circuit analysis," Int. J. Numerical Modeling: Electron. Netw., Devices Fields, vol. 3, pp. 183-193, 1990.
10. O. Palusinski, M. Guarini, and S. Wright, "Spectral technique in electronic circuit analysis," Int. J. Numerical Modeling: Electron. Netw., Devices Fields, vol. 1, pp. 137-151, 1988.
11. M. Guarini, J. Urzua, and M. Matus, "Estimation of the arterial load parameters using spectral techniques," presented at the Proc. 1999 Health Sciences Simulation Conf., San Juan, CA, 1999.
12. M. Guarini and J. Urzua, "Estimation of the left ventricular function using spectral techniques," presented at the 2000 Health Sciences Simulation Conf., San Diego, CA, 2000.
13. G. Dahlquist, A. Bjorck, and N. Anderson, Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall, 1974.
14. M. Buonocore, "Rf pulse using the inverse scattering transform," Magn. Reson. Med., vol. 29, pp. 440-447, 1993.
15. L. Trefethen, Spectral Methods in MATLAB. Philadelphia, PA: SIAM (Soc. Ind. Appl. Math), 2001.
16. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes in C. Cambridge, U.K.: Cambridge Univ. Press, 1991.
17. L. Fox and I. B. Parker, Chebyshev Polynomials in Numerical Analysis. Oxford, U.K.: Oxford Univ. Press, 1968.
18. G. Golub and C. V. Loan, Matrix Computations. Baltimore, MD: The Johns Hopkins Univ. Press, 1996.
19. MATLAB®. ©1994-2003. The MathWorks Inc. [Online]. Available: http://www.mathworks.com/
20. A. Tucker, A Unified Introduction to Linear Algebra: Models, Methods, and Theory, 1st ed. New York: Macmillan, 1988.
21. M. Uhlmann. (2000) The Need for De-Aliasing in a Chebyshev Pseudo-Spectral Method, dealias.pdf. [Online]. Available: http://www.pik- potsdam.de/ uhlmann/reports/
22. J. Pauly. (1992) rf_tools for Matlab, rf_tools.mat.tgz. [Online]. Available: http://rsl.stanford.edu/research/software.html
23. M. Haacke, R. Brown, M. Thompson, and R. Venkatesan, Magnetic Resonance Imaging Physical Principles and Sequence Design. New York: Wiley, 1999.
24. M. Vlaardingerbroek and J. A. den Boer, Magnetic Resonance Imaging Theory and Practice, 3rd ed. Berlin, Germany: Springer-Verlag, 2003.