Toeplitz-Based Iterative Image Reconstruction for MRI With Correction for Magnetic Field Inhomogeneity Export

@article{citeulike:3929930, abstract = {In some types of magnetic resonance (MR) imaging, particularly functional brain scans, the conventional Fourier model for the measurements is inaccurate. Magnetic field inhomogeneities, which are caused by imperfect main fields and by magnetic susceptibility variations, induce distortions in images that are reconstructed by conventional Fourier methods. These artifacts hamper the use of functional MR imaging (fMRI) in brain regions near air/tissue interfaces. Recently, iterative methods that combine the conjugate gradient (CG) algorithm with nonuniform FFT (NUFFT) operations have been shown to provide considerably improved image quality relative to the conjugate-phase method. However, for non-Cartesian k-space trajectories, each CG-NUFFT iteration requires numerous k-space interpolations; these are operations that are computationally expensive and poorly suited to fast hardware implementations. This paper proposes a faster iterative approach to field-corrected MR image reconstruction based on the CG algorithm and certain Toeplitz matrices. This CG-Toeplitz approach requires k-space interpolations only for the initial iteration; thereafter, only fast Fourier transforms (FFTs) are required. Simulation results show that the proposed CG-Toeplitz approach produces equivalent image quality as the CG-NUFFT method with significantly reduced computation time.}, author = {Fessler, J. A. and Lee, S. and Olafsson, V. T. and Shi, H. R. and Noll, D. C.}, booktitle = {Signal Processing, IEEE Transactions on}, citeulike-article-id = {3929930}, citeulike-linkout-0 = {http://dx.doi.org/10.1109/TSP.2005.853152}, citeulike-linkout-1 = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1495877}, doi = {10.1109/TSP.2005.853152}, journal = {Signal Processing, IEEE Transactions on}, keywords = {aha, bias, cardiac, inhomogeneity, mri, reconstruction}, number = {9}, pages = {3393--3402}, posted-at = {2009-01-23 17:27:37}, priority = {2}, title = {Toeplitz-Based Iterative Image Reconstruction for MRI With Correction for Magnetic Field Inhomogeneity}, url = {http://dx.doi.org/10.1109/TSP.2005.853152}, volume = {53}, year = {2005} }

TY - JOUR ID - citeulike:3929930 L3 - citeulike-article-id:3929930 N2 - In some types of magnetic resonance (MR) imaging, particularly functional brain scans, the conventional Fourier model for the measurements is inaccurate. Magnetic field inhomogeneities, which are caused by imperfect main fields and by magnetic susceptibility variations, induce distortions in images that are reconstructed by conventional Fourier methods. These artifacts hamper the use of functional MR imaging (fMRI) in brain regions near air/tissue interfaces. Recently, iterative methods that combine the conjugate gradient (CG) algorithm with nonuniform FFT (NUFFT) operations have been shown to provide considerably improved image quality relative to the conjugate-phase method. However, for non-Cartesian k-space trajectories, each CG-NUFFT iteration requires numerous k-space interpolations; these are operations that are computationally expensive and poorly suited to fast hardware implementations. This paper proposes a faster iterative approach to field-corrected MR image reconstruction based on the CG algorithm and certain Toeplitz matrices. This CG-Toeplitz approach requires k-space interpolations only for the initial iteration; thereafter, only fast Fourier transforms (FFTs) are required. Simulation results show that the proposed CG-Toeplitz approach produces equivalent image quality as the CG-NUFFT method with significantly reduced computation time. IS - 9 JF - Signal Processing, IEEE Transactions on EP - 3402 TI - Toeplitz-Based Iterative Image Reconstruction for MRI With Correction for Magnetic Field Inhomogeneity VL - 53 T2 - Signal Processing, IEEE Transactions on SP - 3393 KW - aha KW - bias KW - cardiac KW - inhomogeneity KW - mri KW - reconstruction AU - Fessler, JA AU - Lee, S AU - Olafsson, VT AU - Shi, HR AU - Noll, DC PY - 2005/// UR - http://dx.doi.org/10.1109/TSP.2005.853152 ER -