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Automatic, Non-Regularized Nonlinear Dipole Inversion for Fast and Robust Quantitative Susceptibility Mapping
Carlos Milovic1 and Karin Shmueli1
1Department of Medical Physics and Biomedical Engineering, University College London, London, United Kingdom
Non-regularized Quantitative Susceptibility Mapping by stopping a nonlinear conjugate gradient solver early (by analysing the susceptibility frequency domain) gives robust parameter-free reconstructions in vivo, faster than state-of-the-art methods.
Figure 5: Comparison of Auto NDI_CG and Automatically stopped NDI with FANSI in vivo. High quality NDI reconstructions are possible even with extremely noisy voxels. Auto NDI_CG and Auto NDI produce very similar susceptibility maps (with substancial control of streaking artifacts and sharp fine details) but NDI_CG is much faster and showed no signs of susceptibility underestimation.
Figure 1: Spatial frequency components of the RC1 ground truth and NDI_CG reconstructions for different numbers of iterations. With more iterations, frequencies close to the magic angle are amplified. To assess QSM optimality (RMSE: 18 iterations), the mean absolute values of the frequency coefficients in regions M1-M3 have been used previously8. Here, regions M4 and M5 near the cone were used. All regions were defined as a function of the dipole kernel coefficients and radial frequencies 0.60-0.95 mm-1.