MRI simulator with object-specific field map calculations.

A new MRI simulator has been developed that generates images of realistic objects for arbitrary pulse sequences executed in the presence of static field inhomogeneities, including those due to magnetic susceptibility, variations in the applied field, and chemical shift. In contrast to previous simulators, this system generates object-specific inhomogeneity patterns from first principles and propagates the consequent frequency offsets and intravoxel dephasing through the acquisition protocols to produce images with realistic artifacts. The simulator consists of two parts. The input to part 1 is a set of "susceptibility voxels" that describe the magnetic properties of the object being imaged. It calculates a frequency offset for each voxel by computing the size of the static field offset at each voxel in the image based on the magnetic susceptibility of each tissue type within all voxels. The method of calculation is a three-dimensional convolution of the susceptibility-voxels with a kernel derived from a previously published method and takes advantage of the superposition principle to include voxels with mixtures of substances of differing susceptibilities. Part 2 produces both a signal and a reconstructed image. Its inputs include a voxel-based description of the object, frequency offsets computed by part 1, applied static field errors, chemical shift values, and a description of the imaging protocol. Intravoxel variations in both static field and time-dependent phase are calculated for each voxel. Validations of part 1 are presented for a known analytic solution and for experimental data from two phantoms. Part 2 was validated with comparisons to an independent simulation provided by the Montreal Neurological Institute and experimental data from a phantom.

[1]  J. Michael Fitzpatrick,et al.  A technique for accurate magnetic resonance imaging in the presence of field inhomogeneities , 1992, IEEE Trans. Medical Imaging.

[2]  M A Moerland,et al.  Analysis and correction of geometric distortions in 1.5 T magnetic resonance images for use in radiotherapy treatment planning. , 1995, Physics in medicine and biology.

[3]  R Wirestam,et al.  A computer simulation program for mr imaging: application to rf and static magnetic field imperfections , 1995, Magnetic resonance in medicine.

[4]  S Li,et al.  Three‐dimensional mapping of the static magnetic field inside the human head , 1996, Magnetic resonance in medicine.

[5]  J S Petersson,et al.  MRI simulation using the k-space formalism. , 1993, Magnetic resonance imaging.

[6]  Integral method for numerical simulation of MRI artifacts induced by metallic implants , 2001, Magnetic resonance in medicine.

[7]  Alan C. Evans,et al.  BrainWeb: Online Interface to a 3D MRI Simulated Brain Database , 1997 .

[8]  Felix W. Wehrli,et al.  The Calculation of the Susceptibility-Induced Magnetic Field from 3D NMR Images with Applications to Trabecular Bone , 1995 .

[9]  D. Louis Collins,et al.  Automatic 3‐D model‐based neuroanatomical segmentation , 1995 .

[10]  R. Tibshirani,et al.  An introduction to the bootstrap , 1993 .

[11]  P. Röschmann,et al.  Susceptibility artefacts in NMR imaging. , 1985, Magnetic resonance imaging.

[12]  M A Moerland,et al.  Numerical analysis of the magnetic field for arbitrary magnetic susceptibility distributions in 3D. , 1994, Magnetic resonance imaging.

[13]  Gary H. Glover,et al.  MR susceptibility misregistration correction , 1993, IEEE Trans. Medical Imaging.

[14]  P. Jezzard,et al.  Correction for geometric distortion in echo planar images from B0 field variations , 1995, Magnetic resonance in medicine.

[15]  A. Lent,et al.  An introduction to NMR imaging: From the Bloch equation to the imaging equation , 1983, Proceedings of the IEEE.

[16]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[17]  Roland Glowinski,et al.  An introduction to the mathematical theory of finite elements , 1976 .

[18]  R. Edelman,et al.  Magnetic resonance imaging (2) , 1993, The New England journal of medicine.

[19]  L Axel,et al.  A computer simulation of nuclear magnetic resonance imaging , 1986, Magnetic resonance in medicine.

[20]  C. Springer,et al.  Bulk magnetic susceptibility shifts in nmr studies of compartmentalized samples: use of paramagnetic reagents , 1990, Magnetic resonance in medicine.

[21]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[22]  S Li,et al.  A computer simulation of the static magnetic field distribution in the human head , 1995, Magnetic resonance in medicine.

[23]  J Bittoun,et al.  A computer algorithm for the simulation of any nuclear magnetic resonance (NMR) imaging method. , 1984, Magnetic resonance imaging.

[24]  John P. Wikswo,et al.  Scalar multipole expansions and their dipole equivalents , 1985 .

[25]  A. Evans,et al.  MRI simulation-based evaluation of image-processing and classification methods , 1999, IEEE Transactions on Medical Imaging.

[26]  J. Schenck The role of magnetic susceptibility in magnetic resonance imaging: MRI magnetic compatibility of the first and second kinds. , 1996, Medical physics.

[27]  Jan C. de Munck,et al.  The computation of MR image distortions caused by tissue susceptibility using the boundary element method , 1996, IEEE Trans. Medical Imaging.

[28]  J C Gore,et al.  Asymmetric spin‐echo imaging of magnetically inhomogeneous systems: Theory, experiment, and numerical studies , 1998, Magnetic resonance in medicine.

[29]  Christopher M Collins,et al.  Numerical calculations of the static magnetic field in three-dimensional multi-tissue models of the human head. , 2002, Magnetic resonance imaging.

[30]  Trong-Kha Truong,et al.  Three-dimensional numerical simulations of susceptibility-induced magnetic field inhomogeneities in the human head. , 2002, Magnetic resonance imaging.