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Shearlet-based susceptibility map reconstruction with additional TGV-regularization
Janis Stiegeler1,2 and Sina Straub1
1Medical Physics in Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany, 2Faculty of Physics and Astronomy, University of Heidelberg, Heidelberg, Germany
A multicale shearlet system was used together with a total generalized variation (TGV) term to regularize the susceptibility-phase convolution problem. The results show that these regularizers are useful to obtain quantitative susceptibility maps which are rich in detail.
Figure 1: In the first row the susceptibility map obtained by the proposed algorithm is shown.The second row shows the ground truth and in the third row a susceptibility map calculated by STAR-QSM is shown.
Table 1: The values for the image quality measures achieved by the susceptibility maps obtained by the proposed algorithm and by STAR-QSM are shown in the first and second column. The third column shows the achieved ranking compared to all algorithms testes in the 2016 QSM challenge. RMSE is the root mean squared error. HFEN is the high-frequeny error norm. SSIM is the structural similarity index. The ROI error is the absolute value of the mean error in selected anatomical structures as in the 2016 QSM challenge.