The QSM algorithms tested in the 2016 Reconstruction Challenge showed oversmoothing effects and a notable loss of details. A multicale shearlet system was used to reconstruct the susceptibility map. Iterative reweighting of the coefficients led to a sparse image in the shearlet space. The result shows that shearlets are useful to obtain quantitative susceptibility maps which are rich in detail and simultaneously can achieve a top ten result in the ranking of the 2016 Reconstruction Challenge.
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