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Fast quantitative susceptibility reconstruction via total field inversion with improved weighted L 0 norm approximation
Author(s) -
Zhang Li,
Chen Xi,
Lin Jianzhong,
Ding Xinghao,
Bao Lijun,
Cai Congbo,
Li Jing,
Chen Zhong,
Cai Shuhui
Publication year - 2019
Publication title -
nmr in biomedicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.278
H-Index - 114
eISSN - 1099-1492
pISSN - 0952-3480
DOI - 10.1002/nbm.4067
Subject(s) - quantitative susceptibility mapping , regularization (linguistics) , algorithm , computer science , mathematics , robustness (evolution) , norm (philosophy) , mathematical optimization , artificial intelligence , magnetic resonance imaging , chemistry , medicine , biochemistry , gene , radiology , political science , law
Quantitative susceptibility mapping (QSM) is a meaningful MRI technique owing to its unique relation to actual physical tissue magnetic properties. The reconstruction of QSM is usually decomposed into three sub‐problems, which are solved independently. However, this decomposition does not conform to the causes of the problems, and may cause discontinuity of parameters and error accumulation. In this paper, a fast reconstruction method named fast TFI based on total field inversion was proposed. It can accelerate the total field inversion by using a specially selected preconditioner and advanced solution of the weighted L 0 regularization. Due to the employment of an effective model, the proposed method can efficiently reconstruct the QSM of brains with lesions, where other methods may encounter problems. Experimental results from simulation and in vivo data verified that the new method has better reconstruction accuracy, faster convergence ability and excellent robustness, which may promote clinical application of QSM.