Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal

Chenglong Bao Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084 China Jae Kyu Choi School of Mathematical Sciences, Tongji University, Shanghai, 200092 China Bin Dong Beijing International Center for Mathematical Research and Laboratory for Biomedical Image Analysis, Beijing Institute of Big Data Research, Peking University, Beijing, 100871 China

Numerical Analysis and Scientific Computing mathscidoc:2206.25003

SIAM Journal on Imaging Sciences, 12, (1), 492-520, 2019.2
Quantitative susceptibility mapping (QSM) uses the phase data in magnetic resonance signals to visualize a three-dimensional susceptibility distribution by solving the magnetic field to susceptibility inverse problem. Due to the presence of zeros of the integration kernel in the frequency domain, QSM is an ill-posed inverse problem. Although numerous regularization-based models have been proposed to overcome this problem, incompatibility in the field data, which leads to deterioration of the recovery, has not received enough attention. In this paper, we show that the data acquisition process of QSM inherently generates a harmonic incompatibility in the measured local field. Based on this discovery, we propose a novel regularization-based susceptibility reconstruction model with an additional sparsity-based regularization term on the harmonic incompatibility. Numerical experiments show that the proposed method achieves better performance than existing approaches.
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@inproceedings{chenglong2019whole,
  title={Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal},
  author={Chenglong Bao, Jae Kyu Choi, and Bin Dong},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220613222207797974357},
  booktitle={SIAM Journal on Imaging Sciences},
  volume={12},
  number={1},
  pages={492-520},
  year={2019},
}
Chenglong Bao, Jae Kyu Choi, and Bin Dong. Whole Brain Susceptibility Mapping Using Harmonic Incompatibility Removal. 2019. Vol. 12. In SIAM Journal on Imaging Sciences. pp.492-520. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220613222207797974357.
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