Title
Rapid reconstruction of quantitative susceptibility mapping via improved ℓ0 norm approximation.
Abstract
Quantitative susceptibility mapping (QSM) reconstruction is a well-known ill-posed problem. Various regularization techniques have been proposed for solving this problem. In this paper, a rapid method is proposed that uses ℓ0 norm minimization in a gradient domain. Because ℓ0 minimization is an NP-hard problem, a special alternating optimization strategy is employed to simplify the reconstruction algorithm. The proposed algorithm uses only simple point-wise multiplications and thresholding operations, and significantly speeds up the calculation. Both numerical simulations and in vivo experiments demonstrate that the proposed method can reconstruct susceptibility fast and accurately. Because morphology information weighted methods have achieved considerable success in QSM, we performed a quantitative comparison with some typical weighted methods, such as MEDI (morphology enabled dipole inversion), iLSQR (improved least squares algorithm), and wℓ1 (weighted ℓ1 norm minimization). The reconstructed results show that the proposed method can provide accurate results with a satisfactory speed.
Year
DOI
Venue
2016
10.1016/j.compbiomed.2016.10.002
Computers in Biology and Medicine
Keywords
DocType
Volume
Quantitative susceptibility mapping(QSM),ℓ0 norm,Weighting matrix,Rapid reconstruction
Journal
79
ISSN
Citations 
PageRank 
0010-4825
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Congbo Cai1105.90
Xi Chen200.34
Liu Weijun312340.11
Shuhui Cai4146.10
Delu Zeng516411.46
Xinghao Ding659152.95