Xiaowen Jiang1, Zhengxiu Wu1, Yi Chen1, Zhonghua Ni1, and Rongsheng Lu1
1Southeast University, NanJing, China
Synopsis
Keywords: Data Processing, Low-Field MRI
Motivation: Applying the component imaging method to low-field MRI systems will face a main problem: low-SNR image data.
Goal(s): An optimized inversion method is proposed, aiming to give better results for image data with low SNR.
Approach: This paper proposes an optimized inversion method with the formula of the optimization problem combining intra- and inter-voxel constraints.
Results: The optimized method shows a better convergence rate avoiding the fragmentation of component images and the appearance of pseudo peaks in the spectrum.
Impact: This multi-component
imaging approach can provide sub-voxel characterization and be applied to
numerous applications of popular portable low-field MRI systems.
INTRODUCTION
Assuming negligible intercompartmental
exchange, it is
generally considered that the NMR relaxation or diffusion signal observed in
the complex sample is the sum of multiple exponential decay curves, which
indicates that the sample has multiple relaxation and diffusion components. How to obtain the amount of these components is always a
multi-exponential estimation problem. Component
imaging methods in 3 T MRI systems have been studied in some research [1].
The motivation of our work is to enable the component imaging method to be
applied to low-field MRI systems. Low-field MRI systems have become popular,
but applying the component imaging method to low-field MRI systems will face a
main problem: low-SNR image data. The inversion method should
be optimized to better deal with the low-SNR image data. The existing inversion
methods can be divided into two types: the regularization of the spectrum from
each voxel [2], [3], [4], and
spatial regularization [5], [6], [7].
Faced with low-SNR image data, the first type of inversion method, although it
has a fast convergence rate, will fragment the images of components. The second
type of inversion method, although it can avoid the fragmentation of the
component images, can produce pseudo peaks in the spectrum. In this paper, an
optimized inversion method is proposed, aiming to give better results for image
data with low SNR.METHODS
The
formula of the optimization problem combining intra- (zeroth-order
regularization) and inter-voxel (spatial regularization) constraints is shown in
Fig. 1. This idea is motivated by the simultaneous utilization of the
regularization within each voxel and the spatial regularization across the
voxels. It can ensure the desired continuity of the component distribution both
within each voxel and across voxels, aiming to further reduce the ill condition
in the estimation process and avoid the fragmentation of component images and the
appearance of pseudo peaks in the spectrum.
To
solve the optimization problem, we propose an efficient algorithm based on the
alternating direction method of multipliers (ADMM) [8]
and a method [9] to transform the optimization
problem with the nonnegativity constraints into the
unconstrained. MRI experiments were carried out in a
homebuilt 0.5 T MRI system equipped with a permanent magnet. A T1-T2 MRI data acquisition sequence to obtain 2D contrast-encoded MRI data
for this MRI system is shown in Fig. 2.RESULTS & DISCUSSION
The performances of the proposed inversion
method and other typical inversion methods were compared both in the simulation
and MRI experiments to verify the advantages of the proposed inversion method. The
results of simulation and phantom data are shown in Fig. 3 and Fig. 4. Facing
MRI data of low SNR (the SNR value of the highest-SNR image in MRI data was about
25), the optimized method shows a better convergence rate, smaller optimization
error, especially avoiding the fragmentation of component images and the
appearance of pseudo peaks in the spectrum. The proposed multi-component
imaging method was also applied to natural plant samples, as shown in Fig. 5. Results
of plant samples show detailed features revealing inner water molecular states.CONCLUSION
This
paper proposes a multi-component MRI method including an optimized inversion method
to overcome the low SNR. Unlike structural imaging of MRI, multi-component
estimation in individual voxels is an analysis of image information along a
component dimension, which can decompose the components superimposed on each
voxel to obtain difficult-to-observe microstructural
information. At this stage, this approach still
requires a rather long scan time. However, it can potentially combine with
other rapid quantitative MRI methods such as MRF (MR fingerprint). We look
forward to extending the further optimized method to the application of popular
low-field or ultra-low-field portable MRI systems.Acknowledgements
This project is supported by the
National Natural Science Foundation of China (Grant No. 51605089, Grant No. 51627808).
We thank labs' partners for their all support and help in NMR experiments.References
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