Singular value analysis for magnetic particle imaging

IEEE Nuclear Science Symposium Conference Record

Volumn , Issue , 2008, Pages 4525-4529

  Knopp, Tobias ^a   Biederer, Sven ^a   Sattel, Timo ^a   Buzug, Thorsten M ^a  

^a UNIVERSITY OF LÜBECK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACQUISITION PARAMETERS; ILL POSED; ILL-POSEDNESS; IMAGING MODALITY; L-CURVE; MAGNETIC PARTICLE IMAGING; OPTIMAL IMAGING; OPTIMAL REGULARIZATION; RECONSTRUCTION PROBLEMS; SIMULATION STUDIES; SINGULAR VALUES; SINGULAR-VALUE ANALYSIS; TIKHONOV REGULARIZATION;

CONCRETE BEAMS AND GIRDERS; RESTORATION; SECURITY OF DATA;

SINGULAR VALUE DECOMPOSITION;

EID: 67249112249     PISSN: 10957863     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NSSMIC.2008.4774296     Document Type: Conference Paper

References (14)

1. B. Gleich and J. Weizenecker, "Tomographic imaging using the nonlinear response of magnetic particles," Nature, vol.435, pp. 1214-1217,2005. (Pubitemid 40943083)
2. B. Gleich, J. Weizenecker, and J. Borgert, "Experimental results on fast 2D-encoded magnetic particle imaging," Physics in Medicine and Biology, vol.53, pp. 81-N84, 2008.
3. J. Weizenecker, J. Borgert, and B. Gleich, "A simulation study on the resolution and sensitivity of magnetic particle imaging," Physics in Medicine and Biology, vol.52, pp. 6363-6374, 2007. (Pubitemid 350093167)
4. P. Hansen, T. Jensen, and G. Rodriguez, "An adaptive pruning algorithm for the discrete L-curve criterion," Comput. Appl. Math., vol.198, no. 2, pp. 483-492, 2007. (Pubitemid 44402949)
5. G. Rodriguez and D. Theis, "An algorithm estimating the optimal regularization parameter by the L-curve," Rendiconti di Matematica, Serie VlI, vol.25, pp. 69 - 74, 2005.
6. P. Craven and G. Wahba, "Smoothing noisy data with spline functions," Numer. Math., vol.31, pp. 377-403, 1979.
7. S. Chikazumi and S. Charap, Physics ofMagnetism. New York: Wiley, 1964.
8. R. Aster, B. Borchers, and C. Thurber, Parameter Estimation and Inverse Problems. Academic Press, 2004.
9. P. Hansen, "The truncated SVD as a method for regularization," vol.27, pp. 543 -553, 1987.
10. A. Tikhonov, "Solution of incorrectly formulated problems and the regularization method," Soviet Math. Dokl., vol.4, pp. 1036 -1038,1963.
11. P. Hansen, Rank-Deficient and Discrete Ill-Posed Problems. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1998.
12. P. Hansen and D. O'Leary, "The use of the L-curve in the regularization of discrete ill-posed problems," SIAM Journal on Scientific Computing, vol.14, pp. 487-1503, 1993.
13. J. Kaipio and E. Somersalo, Statistical and computational inverse problems. New York: Springer, 2005.
14. E. Anderson, Z. Bal. C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen, LAPACK sers' Guide, 3rd ed. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1999.