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Computer Methods in Biomechanics and Biomedical Engineering Volume 3, 2000 - Issue 4
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Original Articles

Mathematical Modeling and Numerical Simulation of Magnetic Susceptibility Artifacts in Magnetic Resonance IMAGINGFootnote*

S. BALAC Departement de Mathémaliques, Université de Bretagne Occidentals, Brest, 29285, FranceView further author information
&
G. CALOZ Institut de Recherche Mathematiques de Rennes, Université de Rennes 1, Rennes, 35042, FranceView further author information
Pages 335-349 | Received 14 May 1999, Accepted 04 Feb 2000, Published online: 28 Mar 2007

References

  • Abele , M. et al. ( 1994 ). Compensation of field distortion with ferromagnetic material and permanent magnets . Journal of Applied Physics , 75 , 6990 – 6992 .
  • Bakker , C. et al. ( 1993 ). Susceptibility artifacts in 2DFT spin-echo and gradient-echo imaging, the cylinder model revisited . Magnetic Resonance Imaging , 11 , 539 – 548 .
  • Balac , S. and Caloz , G. ( 1996 ). Magnetic susceptibility artifacts in magnetic resonanceimaging. Calculation of the magnetic field disturbances . IEEE Transactions on Magnetics , 32 , 1645 – 1648 .
  • Balac , S. ( 1997 ). Artefacts de susceptibilityè magnètique en IRM ètude du problème de magnètostatique et simulation numèrique . PhD thesis , Universitè de Rennes 1 , Rennes , France .
  • et al. , ( 1994 ). Numerical analysis of the magnetic field of arbitrary magnetic susceptibilitry distributions in 3D . Magnetic Resonance Imaging , 12 , 101 – 107 .
  • Callaghan , P. T. ( 1993 ). Principles of Nuclear Magnetic Resonance microscopy . Clarendon Press .
  • Chauvel , B. et al. ( 1996 ). 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 .
  • Davison , M. E. and Grunbaum , F. A. ( 1973 ). Tomographic reconstruction with arbitrary directions . Communications on Pure and Applied Mathematics , 34 , 77 – 120 .
  • Erricsson , A. et al.( 1988 ). Calculation of MRI artefacts caused by static field disturbances . Physics in Medicine and Biology , 33 ( 10 ), 1103-1112.
  • Fache , J. et al. ( 1987 ). MR Imaging artifacts produced by dental materials . American Journal of Neuroradiology , 8 , 837 – 840 .
  • Jackson , J. D. ( 1975 ). Classical electrodynamics . John Wiley .
  • Li , S. et al. ( 1995 ). A computer simulation of the static magnetic field distribution in the human head . Magnetic Resonance in Medicine , 34 , 268 – 275 .
  • Ludeke , K. M. et al. ( 1985 ). Susceptibility artifacts in NMR imaging . Magnetic Resonance Imaging , 3 , 329 – 343 .
  • Morris , P. G. ( 1982 ). Nuclear Magnetic Resonance in medicine and biology . Clarendon Press .
  • Olsson , M. et al. ( 1995 ). A computer simulation program for MR imaging application to RF and static magnetic field imperfections . Magnetic Resonance in Medicine , 34 , 612 – 617 .
  • Schenck , J. F. ( 1996 ). The role of magnetic susceptibility in magnetic resonance imaging . Medical Physics , 23 , 815 – 850 .
  • Schwartz , L. ( 1966 ). Mathematics for the physical sciences . Hermann .
  • Sebastiani , G. and Barone , P. ( 1991 ). Mathematical principles of basic magnetic resonance imaging in medicine . Signal Processing , 25 , 227 – 250 .
  • Slichter , C. P. ( 1990 ). Principles of magnetic resonance . Springer Verlag .
  • Weis , J. and Budinsky , L. ( 1990 ). Simulation of the influence of magnetic field inhomogeneities and distortion correction in MR imaging . Magnetic Resonance Imaging , 8 , 483 – 489 .
  • This work was carried out within the framework of the research group G.l.S. biomateYiaux m£talliques at the University of Rennes 1, France.

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