Title | ||
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Quantitative Susceptibility Map Reconstruction Using Annihilating Filter-based Low-Rank Hankel Matrix Approach. |
Abstract | ||
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Purpose Quantitative susceptibility mapping (QSM) inevitably suffers from streaking artifacts caused by zeros on the conical surface of the dipole kernel in k-space. This work proposes a novel and accurate QSM reconstruction method based on k-space low-rank Hankel matrix constraint, avoiding the over-smoothing problem and streaking artifacts. Theory and Methods Based on the recent theory of annihilating filter-based low-rank Hankel matrix approach (ALOHA), QSM is formulated as deconvolution under low-rank Hankel matrix constraint in the k-space. The computational complexity and the high memory burden were reduced by successive reconstruction of 2-D planes along 3 independent axes of the 3-D phase image in Fourier domain. Feasibility of the proposed method was tested on a simulated phantom and human data and were compared with existing QSM reconstruction methods. Results The proposed ALOHA-QSM effectively reduced streaking artifacts and accurately estimated susceptibility values in deep gray matter structures, compared to the existing QSM methods. Conclusions The suggested ALOHA-QSM algorithm successfully solves the 3-dimensional QSM dipole inversion problem using k-space low rank property with no anatomical constraint. ALOHA-QSM can provide detailed brain structures and accurate susceptibility values with no streaking artifacts. |
Year | DOI | Venue |
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2018 | 10.1002/mrm.27976 | MAGNETIC RESONANCE IN MEDICINE |
Keywords | Field | DocType |
dipole inversion,low-rank Hankel matrix completion,quantitative susceptibility mapping | Kernel (linear algebra),Quantitative susceptibility mapping,Interpolation,Chemistry,Deconvolution,Image quality,Algorithm,Smoothing,Nuclear magnetic resonance,Hankel matrix,Computational complexity theory | Journal |
Volume | Issue | ISSN |
83.0 | 3.0 | 0740-3194 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hyun-Seo Ahn | 1 | 0 | 0.34 |
Sunghong Park | 2 | 1 | 1.06 |
Jong Chul Ye | 3 | 715 | 79.99 |