Realistic analytical phantoms for parallel magnetic resonance imaging

IEEE Transactions on Medical Imaging

Volumn 31, Issue 3, 2012, Pages 626-636

  Guerquin Kern, M ^a   Lejeune, L ^a   Pruessmann, K P ^b   Unser, M ^a  

^a EPFL   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

Fourier analytical simulation; inverse crime; magnetic resonance imaging (MRI); Shepp Logan

Indexed keywords

ALIASING; ANALYTICAL FORMULATION; ANALYTICAL SIMULATIONS; CHANNEL SENSITIVITY; CLOSED FORM; K-SPACE; QUANTITATIVE VALIDATION; RECONSTRUCTION ALGORITHMS; SHEPP-LOGAN;

CRIME; EXPERIMENTS; FOURIER TRANSFORMS;

MAGNETIC RESONANCE IMAGING;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; BRAIN; COMPUTER SIMULATION; FOURIER ANALYSIS; HISTOLOGY; HUMAN; IMAGE QUALITY; INSTRUMENTATION; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; REPRODUCIBILITY;

ALGORITHMS; BRAIN; COMPUTER SIMULATION; FOURIER ANALYSIS; HUMANS; MAGNETIC RESONANCE IMAGING; MODELS, BIOLOGICAL; PHANTOMS, IMAGING; REPRODUCIBILITY OF RESULTS;

EID: 84857250341     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2011.2174158     Document Type: Article

References (22)

1. F. I. Karahanölu, D. Van De Ville, K. Pruessmann, and M. Unser, "Analytical form of Shepp-Logan phantom for parallel MRI, " in Proc. ISBI, Rotterdam, The Netherlands, Apr. 14-17, 2010, pp. 261-264.
2. A. Ribés and F. Schmitt, "Linear inverse problems in imaging, " IEEE Signal Process. Mag., vol. 25, no. 4, pp. 84-99, Jul. 2008.
3. L. Shepp and B. Logan, "The Fourier reconstruction of a head section, " IEEE Trans. Nucl. Sci., vol. 21, pp. 21-43, Jun. 1974.
4. M. Smith et al., "Alternatives to the use of the DFT in MRI and spectroscopic reconstructions, " Int. J. Imag. Syst. Technol., vol. 8, no. 6, pp. 558-564, Dec. 1997. (Pubitemid 127549494)
5. R. Van de Walle et al., "Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation, " IEEE Trans. Med. Imag., vol. 19, no. 12, pp. 1160-1167, Dec. 2000.
6. C. Koay, J. Sarlls, and E. Ãzarslan, "Three-dimensional analytical magnetic resonance imaging phantom in the Fourier domain, " Magn. Reson. Med., vol. 58, no. 2, pp. 430-436, Aug. 2007. (Pubitemid 47267664)
7. H. Gach, C. Tanase, and F. Boada, "2D & 3D Shepp-Logan phantom standards for MRI, " in Proc. 19th Int. Conf. Syst. Eng., Los Alamitos, CA, Aug. 19-21, 2008, pp. 521-526.
8. L. Greengard and C. Stucchio, "Spectral edge detection in two dimensions using wavefronts, " Appl. Computat. Harmonic Anal., vol. 30, no. 1, pp. 69-95, 2011.
9. T. M. Ngo, G. S. Fung, B. M. Tsui, E. McVeigh, and D. A. Herzka, "Three dimensional digital polyhedral phantom framework with analytical Fourier transform and application in cardiac imaging, " in Proc. ISMRM, 2011, pp. 1310-1310.
10. K. P. Pruessmann, M. Weiger, M. Scheidegger, and P. Boesiger, "SENSE: Sensitivity encoding for fast MRI, "Magn. Reson. Med., vol. 42, no. 5, pp. 952-962, Oct. 1999. (Pubitemid 29521486)
11. W. Segars, D. Lalush, and B. Tsui, "A realistic spline-based dynamic heart phantom, " IEEE Trans. Nucl. Sci., vol. 46, no. 3, pp. 503-506, Jun. 1999. (Pubitemid 30504993)
12. S. Vembu, "Fourier transformation of the n-dimensional radial delta function, " Q. J. Math., vol. 12, no. 1, pp. 165-168, 1961.
13. E. Sorets, "Fast Fourier transforms of piecewise constant functions, " J. Computat. Phys., vol. 116, no. 2, pp. 369-379, 1995.
14. M. Jacob, T. Blu, and M. Unser, "An exact method for computing the areamoments of wavelet and spline curves, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 23, no. 6, pp. 633-642, Jun. 2001. (Pubitemid 32585275)
15. W. Gautschi, "Computational aspects of three-term recurrence relations, " SIAM Rev., vol. 9, pp. 24-82, Jan. 1967.
16. D. Geman and C. Yang, "Nonlinear image recovery with half-quadratic regularization, " IEEE Trans. Image Process., vol. 4, no. 7, pp. 932-946, Jul. 1995.
17. F. Champagnat and J. Idier, "A connection between half-quadratic criteria and EM algorithms, " IEEE Signal Process. Lett., vol. 11, no. 9, pp. 709-712, Sep. 2004.
18. R. Archibald and A. Gelb, "A method to reduce the Gibbs ringing artifact in MRI scans while keeping tissue boundary integrity, " IEEE Trans. Med. Imag., vol. 21, no. 4, pp. 305-319, Apr. 2002. (Pubitemid 34720683)
19. L. Man, J. Pauly, and A. Macovski, "Multifrequency interpolation for fast off-resonance correction, " Magn. Reson. Med., vol. 37, no. 5, pp. 785-792, Apr. 1997. (Pubitemid 27187820)
20. M. Zaitsev, C. Dold, G. Sakas, J. Hennig, and O. Speck, "Magnetic resonance imaging of freelymoving objects: Prospective real-timemotion correction using an external optical motion tracking system, " NeuroImage, vol. 31, no. 3, pp. 1038-1050, 2006. (Pubitemid 43851344)
21. M. B. Ooi, S. Krueger, W. J. Thomas, S. V. Swaminathan, and T. R. Brown, "Prospective real-time correction for arbitrary head motion using active markers, "Magn. Reson. Med., vol. 62, no. 4, pp. 943-954, 2009.
22. B. J. Wilm, C. Barmet, M. Pavan, and K. P. Pruessmann, "Higher order reconstruction for MRI in the presence of spatiotemporal field perturbations, " Magn. Reson. Med., vol. 65, no. 6, pp. 1690-1701, 2011.