Title
Quantitative Susceptibility Map Reconstruction Using Annihilating Filter-based Low-Rank Hankel Matrix Approach.
Abstract
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
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 Ahn100.34
Sunghong Park211.06
Jong Chul Ye371579.99