摘要：Quantitative susceptibility mapping (QSM) uses the phase data in magnetic resonance signal 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, the incompatibility in the field data, which leads to deterioration of the recovery, has not received enough attention. In this talk, we show that the data acquisition process of QSM inherently generates a harmonic incompatibility in the measured local field. Based on such discovery, we propose two harmonic incompatibility removal (HIRE) susceptibility reconstruction models. The first generation HIRE (1GHIRE) adopts an additional sparsity based regularization term on the harmonic incompatibility. The second generation (2GHIRE) model adopts the idea of structured low rank approximation to better reflect the harmonic property of the incompatibility. Experimental results show that the proposed HIRE models achieve better performance than the existing single system regularization based approaches.
个人简介：JAE KYU CHOI earned his Ph.D. in applied mathematics from Yonsei University in 2015, and then worked as a postdoc at Shanghai Jiao Tong University for three years. Since November 2018, he joined the School of Mathematical Sciences at Tongji University as an assistant professor. His research interests include imaging sciences, medical imaging, inverse problems, frame based approaches, computational harmonic analysis, and microlocal analysis.