Enhancing k-space quantitative susceptibility mapping by enforcing consistency on the cone data (CCD) with structural priors.
OBJECTIVE
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.


CONCLUSIONS
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.
MedImageMetric LLC, New York, New York, USA.|Department of Biomedical Engineering, Cornell University, Ithaca, New York, USA.
Yan
Y
Wen
Department of Biomedical Engineering, Cornell University, Ithaca, New York, USA.|Department of Radiology, Weill Medical College of Cornell University, New York, New York, USA.
Yi
Y
Wang
MedImageMetric LLC, New York, New York, USA.
Tian
T
Liu
D000465:Algorithms; D016477:Artifacts; D001921:Brain / Q000033:anatomy & histology*; D003198:Computer Simulation; D064368:Healthy Volunteers; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D019047:Phantoms, Imaging
conjugate gradient algorithm; data fitting; quantitative susceptibility mapping