Fast reconstruction in magnetic particle imaging

Physics in Medicine and Biology

Volumn 57, Issue 4, 2012, Pages 1113-1134

  Lampe, J ^a   Bassoy, C ^a   Rahmer, J ^b   Weizenecker, J ^c   Voss, H ^a   Gleich, B ^b   Borgert, J ^b  

^a HAMBURG UNIVERSITY OF TECHNOLOGY   (Germany)

^b PHILIPS RESEARCH LABORATORIES   (Germany)

^c KARLSRUHE UNIVERSITY OF APPLIED SCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION TECHNIQUES; DIRECT SOLVERS; DISCRETIZATIONS; FAST DYNAMICS; INDUCED SIGNAL; ITERATIVE RECONSTRUCTION; ITERATIVE SOLVERS; MAGNETIC PARTICLE; MAGNETIC PARTICLE IMAGING; MATRIX; MATRIX INVERSIONS; MEMORY REQUIREMENTS; ORTHOGONAL TRANSFORMS; PARTICLE POSITION; REAL-TIME RECONSTRUCTION; SIGNAL RESPONSE; SYSTEM FUNCTIONS; THRESHOLDING; TOMOGRAPHIC IMAGING; TRACER MATERIALS;

DATA COMPRESSION; IMAGE QUALITY; ORTHOGONAL FUNCTIONS;

MAGNETIC BUBBLES;

ANIMAL; ARTICLE; HEART; IMAGE PROCESSING; IMAGE QUALITY; INFORMATION PROCESSING; MAGNET; METHODOLOGY; MOUSE; TIME; TOMOGRAPHY;

ANIMALS; DATA COMPRESSION; HEART; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETS; MICE; PHANTOMS, IMAGING; TIME FACTORS; TOMOGRAPHY;

EID: 84856895166     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/57/4/1113     Document Type: Article

References (27)

1. Dax A 1993 On row relaxation methods for large constrained least squares problems SIAM J. Sci. Comput. 14 57084
2. Elsner L, Koltracht I and Lancester P 1991 Convergence properties of ART and SOR algorithms Numer. Math. 59 91106
3. Gleich B and Weizenecker J 2005 Tomographic imaging using the nonlinear response of magnetic particles Nature 435 121417 (Pubitemid 40943083)
4. Gleich B, Weizenecker J and Borgert J 2008 Experimental results on fast 2D-encoded magnetic particle imaging Phys. Med. Biol. 53 N814
5. Hanke M and Niethammer W 1990 On the acceleration of Kaczmarzs method for inconsistent linear systems Linear Algebra Appl. 130 8398
6. Hansen P C 1998 Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion (Philadelphia: SIAM)
7. Hansen P C 2010 Discrete Inverse Problems: Insight and Algorithms (Philadelphia: SIAM)
8. Hestenes M R and Stiefel E 1952 Methods of conjugate gradients for solving linear systems J. Res. Natl. Bur. Stand. 49 40936
9. Ishwar S and Meher P K 2008 Discrete Tchebicheff transform-A fast 44 algorithm and its application in image/video compression Proc. ISCAS pp 2603
10. Kaczmarz S 1937 Angenherte Auflsung von Systemen linearer Gleichungen Bull. Int. Acad. Pol. Sci. Lett. 35 35557
11. Knopp T, Biederer S, Sattel T, Rahmer J, Weizenecker J, Gleich B, Borgert J and Buzug T 2009 Trajectory analysis for magnetic particle imaging Phys. Med. Biol. 54 38597
12. Knopp T, Rahmer J, Sattel T, Biederer S, Weizenecker J, Gleich B, Borgert J and Buzug T 2010a Weighted iterative reconstruction for magnetic particle imaging Phys. Med. Biol. 55 157789
13. Knopp T, Sattel T, Biederer S, Rahmer J, Weizenecker J, Gleich B, Borgert J and Buzug T 2010b Model-based reconstruction for magnetic particle imaging IEEE Trans. Med. Imaging 29 128
14. Ksters H 1995 Bilddatenkomprimierung mit JPEG und MPEG (Poing: Franzis)
15. Lampe J and Voss H 2008a Global convergence of RTLSQEP: a solver of regularized total least squares problems via quadratic eigenproblems Math. Modelling Anal. 13 5566
16. Lampe J and Voss H 2008b A fast algorithm for solving regularized total least squares problems Electron. Trans. Numer. Anal. 31 1224
17. Paige C C and Saunders M A 1982 LSQR: an algorithm for sparse linear equations and sparse least squares ACM Trans. Math. Softw. 8 4371
18. Phillips D L 1962 A technique for the numerical solution of certain integral equations of the first kind ACM J. Assoc. Comput. Mach. 9/1 8497
19. Rahmer J, Weizenecker J, Gleich B and Borgert J 2009 Signal encoding in magnetic particle imaging: properties of the system function BMC Med. Imag. 9 4
20. Saad Y 2003 Iterative Methods for Sparse Linear Systems (Philadelphia: SIAM)
21. Saunders M A 1995 Solution of sparse rectangular systems using LSQR and Craig BIT Numer. Math. 35 588604
22. Tikhonov A N 1963 Solution of incorrectly formulated problems and the regularization method Sov. Math.Dokl. 4 103538
23. Van Huffel S and Lemmerling P 2002 Total Least Squares and Errors-in-Variables Modeling: Analysis, Algorithms and Applications (Dordrecht: Kluwer)
24. Van Huffel S and Vandewalle J 1991 The Total Least Squares Problems: Computational Aspects and Analysis (Frontiers in Applied Mathematics) (Philadelphia: SIAM)
25. Weizenecker J, Borgert J and Gleich B 2007 A simulation study on the resolution and sensitivity of magnetic particle imaging Phys. Med. Biol. 52 636374 (Pubitemid 350093167)
26. Weizenecker J, Gleich B and Borgert J 2008 Magnetic particle imaging using a field free line J. Phys. D: Appl. Phys. 41 105009
27. Weizenecker J, Gleich B, Rahmer J, Dahnke H and Borgert J 2009 Three-dimensional real-time in vivo magnetic particle imaging Phys. Med. Biol. 54 L110