Synopsis
We use a dense 2D field probe array with 24 probes moving over a 3D volume to estimate magnetic field distribution dynamically and demonstrate that trajectory calibration is slice-dependent. The image reconstructed using measured dynamic magnetic field information 7 cm away shows similar l2 norm error as the image reconstructed without any dynamic magnetic field information.
PURPOSE
Fast MRI typically requires fast switching of gradient coils
in order to traverse the
k-space with the minimal encoding time and to complete
the data acquisition in a fraction of a second. However, fast switching
gradient fields can cause strong eddy current, which can deteriorate images if
effects associated with eddy current are neglected. Several approaches can mitigate
this challenge, such as gradient pre-emphasis adjustment
1 and
k-space
trajectory calibration
2. Although artifacts due
to imperfect gradient magnetic fields can be partially resolved by pulse
sequences and image post processing, an accurate estimate of
the
k-space trajectory is still challenging, because all parameters related to
final images do not exactly match between the calibration scan and the actual
imaging scan.
Different from EPI, spiral imaging is an efficient approach
to obtain MRI with high spatiotemporal resolution
3 and has been
extensively applied to dynamic cardiovascular imaging
4 and functional MRI
5. However, spiral imaging drives the gradient
coil with high slew rate and strength (particularly when traversing the
periphery of the
k-space). Consequently eddy-current and concomitant artifacts
are prominent when high spatiotemporal resolution is required.
Previous studies demonstrated that field probes
6,7 can be applied to correct artifacts due to eddy
current, B
0 off-resonance effect and concomitant field. However, how the
deviation of a
k-space trajectory from the theoretical one changes across
slices remains unexplored. Here we use a dense 2D field probe array with 24
probes moving over a 3D volume to estimate magnetic field distribution
dynamically and to demonstrate that trajectory calibration is slice-dependent.
METHODS
The construction of our probe system has been reported
previously
8 (Figure 1(a)). The 3D imaging correction was realized by first measuring
the NMR signal in all probes using the target pulse sequence and then moving
the 2D probe array along the slice direction in steps of 1 cm. This allows up
to magnetic field measurements at 360 positions (24 positions per slice; 15
slices). Using a spiral sequence (TR = 800ms, a = 60
o, TE
= 60ms, and resolution = 2mm x 2mm x 2mm; 110 T/m/s slew rate), we obtained 20,000
data samples from each probe. The instantaneous frequency caused by gradients
during readout was estimated by first taking the ratio between the accrued
phases in two consecutive measurements and the dwell time, and then subtracting
a bias frequency measured from the FID at the beginning of measurements. At
each slice, we calculated the magnetic field distribution at 20,000 instants during
the readout. Instantaneous magnetic field across imaging plane was estimated by
fitting a polynomial with up to the 3
rd order using probe
measurements. To demonstrate the effectiveness of image reconstruction using dynamic
magnetic field information, we acquired 7 slices of brain images using the same
multi-slice spiral sequence (2mm slice thickness, 8mm slice gap). Finally, image
reconstruction using experimentally measured and theoretically designed field
information was done by using the weighted correlation method
9 with field map
correction.
RESULTS
Figure 1(b) shows the theoretical
k-space trajectory and trajectories estimated using probe measurements matched to the imaging slice, 3cm away from the imaging slice, and 7cm away from the imaging slice. Trajectories
estimated using the probe measurements matched to the imaging slice and probe
measurements at 3cm away from the imaging slice were similar. Both theoretical
trajectory and the trajectory estimated with 7cm away were significantly
different. Figure 2 shows that the reconstructed images without dynamic field
correction and reconstructed image using field information 7cm away both show visible blurring (purple
arrow). The reconstructed image using dynamic field information 3cm away or using matched dynamic field information is less blurring. The ratio between
l2 norm of difference image and
l2 norm of corrected image is 19.3%, 5.7% and 17.0% for the uncorrected
image, the reconstructed image using 3cm away field information and the reconstructed
image using 7cm away field information respectively. Figure 3 shows seven slices of corrected brain images acquired using spiral pulse sequence and GRE images acquired at the same locations.
DISCUSSION
Our results suggest that realistic
k-space trajectories
varied across slices, and reconstructed image quality degrade as the imaging plane
and the calibration plane were away. The results shows that eddy currents and
magnetic field gradient are not spatial invariant. They also suggest that
conventional trajectory calibration using pulse sequences can be inaccurate, because
such a method assumed the calibrated trajectory is the same at all locations inside
the imaging volume.
Acknowledgements
This study was supported by Ministry of Science and Technology, Taiwan (MOST 104-2314-B-002-238, MOST 103-2628-B-002-002-MY3), National Health Research Institute, Taiwan (NHRI-EX104-10247EI), and Ministry of Economic Affairs, Taiwan (100-EC-17-A-19-S1-175).References
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