Huajun She1, Bian Li1, Robert Lenkinski1, and Elena Vinogradov1
1Radiology, Advanced Imaging Research Center, UT Southwestern Medical Center, Dallas, TX, United States
Synopsis
This work investigates accelerating CEST imaging. The original blind compressive sensing method assumes that a few functions are enough to
represent the dynamic behavior, and the coefficient matrix should be sparse. In CEST imaging, z-spectrum shows group sparsity in the same compartment. So not only the coefficients
matrix is sparse but also the transformation of the coefficients matrix is
sparse, such as total variation and wavelets. The proposed
method addresses this prior information and further improves the original BCS method, demonstrating a better estimation of the CEST effect at high
reduction factors for both Cartesian and radial sampling patterns.Audience
Scientists or clinicians interested in fast CEST imaging.
Purpose
Chemical exchange saturation transfer (CEST) imaging is a promising novel
technique and many promising applications have been proposed, such as cancer
and stroke evaluation [1]. CEST requires acquisition of saturation images at
multiple frequencies, the so-called z-spectrum, which can be time consuming, thus
hampering its clinical translation. With the recent emergence of compressed
sensing (CS) theory [2,3], several techniques have been developed applying CS
in MRI [4,5]. Blind compressed sensing (BCS) [6] is a novel method, which represents
the dynamic signal as a sparse linear combination of temporal basis functions
from a large dictionary. In this work, we replace the original temporal
dependence with off-resonance saturation frequency dependence and propose a
sparse dictionary learning algorithm utilizing the spatial-frequency prior
information in CEST imaging. Here we provide a proof-of-concept study in
accelerating CEST imaging using this algorithm.
Methods
The central idea of BCS is to represent the dynamic image series as the
product of the coefficient matrix
U
and temporal/frequency basis functions matrix
V. Assuming only few frequency basis functions are enough to
describe the dynamic behavior of all pixels, creates a constraint on the
sparsity of the coefficient matrix
U.
In CEST imaging, voxels in the same compartment have similar z-spectra [7], which
show group sparsity in the spatial-temporal domain. These z-spectra can be
treated as temporal/frequency basis functions in the dictionary. The original BCS
method addressed the sparsity in the
U
matrix, without considering the group sparsity in spatial-temporal domain. To
address the group sparsity in the spatial-temporal/frequency domain in CEST
imaging, we impose the sparsity of coefficient matrix in the wavelet and total
variation domain to better utilize the prior information in CEST imaging. The reconstruction
algorithm can be expressed as: $$$\min_{U,V}\|F(UV)-d\|_{2}^{2}+\alpha\|U\|_{1}+\beta\| \Psi (U)\|_{1}+\gamma TV(U)+ \eta \|V\|_{2}^{2}$$$, where
F
is the undersampling Fourier operator,
Ψ is the wavelet
operator,
TV is the total variation
operator,
d is the undersampled
k-space data. This model coincides with the formulation of Sparse BLIP [8], and
we solve it with a similar alternating optimization technique. Measurements
were performed on a Philips 3T Ingenia system using a 32 channel head coil. The
phantom consists of 5 tubes of iopamidol solution with pH values of 6.0, 6.5,
7.0, 7.5 and 8.0 within a water-filled container. The CEST images were acquired
with a TFE sequence, flip angle of 45°, TR/TE=4.5/2.0 ms, slice thickness=10
mm, matrix=128x128, FOV=256x256 mm. Saturation RF consisted of a train of 92 Sinc
RF pulses, each of 21.5 ms duration with 0.5 ms pulse intervals, swept between
±800 Hz in steps of 38Hz. CEST processing used standard methods [9] with WASSR
correction for $$$B_{0}$$$ inhomogeneity. We evaluated the performance of the BCS scheme
by performing retrospective undersampling using Cartesian sampling and radial
sampling. Cartesian trajectory schemes use variable density undersampling
pattern [4] with 16 k-space lines, acceleration factor R=8. Radial trajectory
schemes use continuous golden angle rotations (111.25° angular increment) [10,11]
with 12 spokes, acceleration factor R=12. Both of them are incoherent sampling
patterns satisfying the CS requirement.
Results and
Discussion
Fig. 1 compares CEST effects reconstructed with fully sampled, BCS, and the
proposed method from Cartesian sampling and radial sampling. The CEST effects
are measured at 537 Hz (4.2 ppm). Fig. 2 (a-b) compares z-spectra reconstructed
with fully sampled, BCS, and the proposed method from Cartesian sampling and
radial sampling in each region of interest (ROI) for different pH values. The
proposed method performs better than BCS for both of the sampling patterns.
Since the CEST effect is relatively weak, it is sensitive to the aliasing and artifacts
in spatial-temporal domain. The group sparsity prior information in
spatial-temporal domain is helpful to improve the reconstruction quality at
high acceleration factors.
Conclusion
We propose a spatial-temporal sparse dictionary learning algorithm,
which is an enhanced version of the blind compressive sensing method to
reconstruct the image for undersampled CEST data. Phantom results demonstrate
that the proposed method is able to improve CEST imaging at high reduction
factors for both Cartesian and radial sampling. The specific acceleration times
would depend on the details of experimental implementation. Work is underway to
experimentally test accelerating
in vivo
CEST imaging using the undersampling pattern and reconstruction algorithm described
in this study.
Acknowledgements
Grant support: SPRIT grant R1107References
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