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Enhancing k‐space quantitative susceptibility mapping by enforcing consistency on the cone data (CCD) with structural priors
Author(s) -
Wen Yan,
Wang Yi,
Liu Tian
Publication year - 2016
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.25652
Subject(s) - quantitative susceptibility mapping , streaking , consistency (knowledge bases) , prior probability , imaging phantom , data consistency , physics , kernel (algebra) , k space , computer science , artificial intelligence , mathematics , algorithm , mathematical analysis , optics , magnetic resonance imaging , discrete mathematics , fourier transform , bayesian probability , medicine , radiology , operating system
Purpose The inversion from the magnetic field to the magnetic susceptibility distribution is ill‐posed because the dipole kernel, which relates the magnetic susceptibility to the magnetic field, has zeroes at a pair of cone surfaces in the k‐space, leading to streaking artifacts on the reconstructed quantitative susceptibility maps (QSM). A method to impose consistency on the cone data (CCD) with structural priors is proposed to improve the solutions of k‐space methods. Methods The information in the cone region is recovered by enforcing structural consistency with structural prior, while information in the noncone trust region is enforced to be consistent with the magnetic field measurements in k‐space. This CCD method was evaluated by comparing the initial results of existing QSM algorithms to the QSM results after CCD enhancement with respect to the COSMOS results in simulation, phantom, and in vivo human brain. Results The proposed method demonstrated suppression of streaking artifacts and the resulting QSM showed better agreement with reference standard QSM compared with other k‐space based methods. Conclusion By enforcing consistency with structural priors in the cone region, the missing data in the cone can be recovered and the streaking artifacts in QSM can be suppressed. Magn Reson Med 75:823–830, 2016. © 2015 Wiley Periodicals, Inc.