Reconstruction of quantitative susceptibility maps using annihilating filter-based low rank Hankel matrix approach = 소멸 필터 기반의 낮은 계수 행렬 기법을 이용한 정량적 자기 민감도 영상의 복원

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Quantitative susceptibility mapping (QSM) inevitably suffers from streaking artifacts which is caused from the zeros on the conical surface of the dipole inversion kernel. Various methods have been proposed to resolve this issue, but most of them either have difficulty in accurate mapping due to magnitude-based reconstruction, show severe streaking artifacts, or require imaging with subject positioning at various angles. In this thesis, a novel k-space interpolation based dipole inversion algorithm is proposed in order to overcome this ill-posed problem. The redundancy in the spatial domain produces the low-rank Hankel structured matrix in the Fourier domain. This implies that an artifact-free k-space data can be recovered from incomplete or distorted k-space data by constructing Hankel structured matrix and exploiting its low-rankness. Accordingly, it means the Hankel-matrix approach can be used to solve QSM inversion problem. In this paper, the numerical phantom and in-vivo brain MRI data were used for validation of the Hankel-matrix approach and comparison with other conventional methods. The proposed method effectively reduced streaking artifacts compared to the conventional methods, and the results accurately estimated magnetic susceptibility compared to reference data (COSMOS) acquired with subject positions at multiple angles. To sum up, the proposed algorithm can reconstruct the three-dimensional QSM dipole inversion problem successfully, without requiring any additional anatomical information or priory assumption. The thesis suggested a new novel approach to solve the dipole inversion problem for QSM.
Park, Sung-Hongresearcher박성홍researcherYe, Jong Chulresearcher예종철researcher
한국과학기술원 :바이오및뇌공학과,
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학위논문(석사) - 한국과학기술원 : 바이오및뇌공학과, 2018.2,[iv, 31 p. :]


Quantitative susceptibility mapping▼adipole inversion▼astructured low rank Hankel matrix completion; 정량적 자기 민감도 영상▼a쌍극자 커널 복원법▼a주파수 영상 보간법▼a낮은 계수의 행켈 행렬

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