Quantitative susceptibility mapping aims to solve the magnetic dipolar inverse problem to reconstruct tissue magnetic susceptibility distributions from single- or multi-echo GRE phase data. Being an ill-conditioned inverse problem, computation of magnetic susceptibility is challenging and requires conditioning. Several approaches to solve this problem exist, including threshold-based masking or kernel modification, utilizing data redundancy achieved by multiple MRI measurements with different orientations of the object, or applying regularization techniques that incorporate prior information about the spatial distribution of susceptibility. Several of these approaches will be reviewed in this lecture.
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