Analytic solution to boundary integral computation of susceptibility induced magnetic field inhomogeneities

Mathematical and Computer Modelling

Volumn 39, Issue 4-5, 2004, Pages 437-455

  Balac, S ^a   Benoit Cattin, H ^b   Lamotte, T ^b   Odet, C ^b  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Boundary integrals; Magnetostatics; Susceptibility artifacts

Indexed keywords

EID: 1942471852     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(04)90516-X     Document Type: Article

References (24)

1. K.M. Ludeke, P. Roshmann and R. Tischler, Susceptibility artifacts in NMR imaging, Magnetic Resonance Imaging 3, 329-343, (1985).
2. C.J. Bakker, M.A. Moerland, R. Bhagwandien and R. Beersma, Analysis of machine-dependent and object-induced geometric distorsion in 2DFT MR imaging, Magnetic Resonance Imaging 10 (4), 597-608, (1992).
3. H. Chang and J.M. Fitzpatrick, A technique for accurate magnetic resonance imaging in the presence of field inhomogeneities, IEEE Transactions on Medical Imaging 11 (3), 319-329, (1992).
4. J. Weis, A. Ericsson and S. Silander, Magnetic resonance spectroscopic imaging for visualization and correction of distorsions in MRI: High precision applications in neurosurgery, Magnetic Resonance Imaging 16 (10), 1265-1272, (1998).
5. F.M. Bui, K. Bott and M.P. Mintchev, A quantitative study of the pixel-shifting, blurring and nonlinear distortions in MRI images caused by the presence of metal implants, Journal of Medical Engineering Technology 24 (1), 20-27, (2000).
6. T. Sumanaweera, G. Glover, S. Song, J. Adler and S. Napel, Quantifying MRI geometric distortion in tissue, Magnetic Resonance in Medicine 31, 40-47, (1994).
7. M. Sadiku, Numerical Techniques in Electromagnetism, CRC Press, (1992).
8. R. Bhagwandien, M.A. Moerland, C.J.G. Bakker, R. Beersma and J.J.W. Lagendijk, Numerical analysis of the magnetic field for arbitrary magnetic distribution in 3D, Magnetic Resonance Imaging 12, 101-107, (1994).
9. S. Li et al., A computer simulation of the static magnetic field distribution in the human head, Magnetic Resonance in Medicine 34, 268-275, (1995).
10. T.K. Truong, B.D. Clymer, D.W. Chakeres and P. Schmalbrock, Three dimensional numerical simulations of susceptibility induced magnetic field inhomogeneities in the human head, Magnetic Resonance Imaging 20, 759-770, (2002).
11. th Annual Meeting of the ISMRM, Volume 2325, Honolulu, HI, (2002).
12. S.N. Hwang and F.W. Wehrli, The calculation of the susceptibility induced magnetic field from 3D NMR images with applications to trabecular bone, Journal of Magnetic Resonance 109, 126-145, (1995).
13. J.C. de Munck, R. Bhagwandien, S.H. Muller, F.C. Verster and M.B. Van Herk, The computation of MR image distortions caused by tissue susceptibility using the boundary element method, IEEE Trans. on Medical Imaging 15 (5), 620-627, (1996).
14. D.A. Yoder, E. Changchien, C.B. Paschal and J.M. Fitzpatrick, MRI simulator with static field inhomogeneity, In SPIE Medical Imaging, Volume 4684, pp. 592-603, (2002).
15. S. Balac and G. Caloz, Induced magnetic field computations using a boundary integral formulation, Applied Numerical Mathematics 41, 345-367, (2002).
16. J.D. Jackson, Classical Electrodynamics, Third Edition, Wiley, New York, (1999).
17. S. Balac and G. Caloz, Magnetic susceptibility artifacts in magnetic resonance imaging, Calculation of the magnetic field disturbances, IEEE Transactions on Magnetics 32, 1645-1648, (1996).
18. E.E. Okon and R.F. Harrington, The potential integral for a linear distribution over a triangular domain, International Journal for Numerical Methods in Engineering 18, 1821-1828, (1982).
19. S. Chien, Numerical evaluation of surface integrals in three dimensions, Mathematics of Computation 64, 727-743, (1995).
20. B. Chauvel, G. Cathelineau, S. Balac, J. Lecerf and J.D. de Certaines, Cancellation of metal-induced MRI artifacts with dual component paramagnetic and diamagnetic material: Mathematical modelization and experimental verification, Journal of Magnetic Resonance Imaging 6, 936-938, (1996).
21. D.L. Collins, A.P. Zijdenbos, V. Kollokian, J.G. Sled, N.J. Kabani, C.J. Holmes and A.C. Evans, Design and construction of a realistic digital brain phantom, IEEE Trans. on Medical Imaging 17 (3), 463-468, (1998).
22. W.E. Lorensen and H.E. Cline, Marching cubes: A high resolution 3D surface construction algorithm, Computer Graphics 21 (4), 163-169, (1987).
23. S. Valette, Y.S. Kim, H.Y. Jung, I. Magnin and R. Prost, A multiresolution wavelet scheme for irregularly subdivided 3D triangle mesh, In IEEE ICIP, Volume I, KOBE, pp. 171-174, (1999).
24. M. Lounsbery, Multiresolution analysis for surfaces of arbitrary topological type, University of Washington, Ph.D. Dissertation, (1994).