Peter Andrew Hardy1 and Erfan Akbari2
1Radiology, University of Kentucky, Lexington, KY, United States, 2Radiation Medicine, University of Kentucky, Lexington, KY, United States
Synopsis
We developed an imaging and analysis method to use the
spatial distortion in echo planar images to estimate the magnetic field inhomogeneity.
The method requires the acquisition of two images from an unmodified echo
planar sequence with the direction of the phase encode reversed between the
two. After combining the images appropriately an undistorted and a displacement
image are produced. The displacement image is a map of the local magnetic field
inhomogeneity.Purpose
Our
purpose was to develop an imaging method which could quickly estimate the
homogeneity of the magnetic field using readily available, echo planar imaging
techniques. This method is valuable both clinically and for routine quality
assurance of the imager even when double echo gradient phase map imaging is not
available.
Method
On
a 1.5T Siemens Aera MR imager we acquired echo planar and gradient echo images
of the ACR quality control phantom. We deliberately adjusted the linear and
quadratic shim gradients to create known magnetic field inhomogeneities. For
each condition, we acquired images with the phase encode gradient oriented in
both positive and negative directions. We combined these two images by
integrating the image intensity along each column in the phase encoding
direction to produce one combined, distortion-free image and a second image
corresponding to the amount of shift required to remove the distortion.3
Knowing the bandwidth in the phase encoding direction of the echo planar
imaging technique we easily converted this image into a measurement of magnetic
field inhomogeneity to within approximately 5%.
Introduction
Inhomogeneous
magnetic fields leads to several problems in MRI including image geometric
distortion, non-uniformity in image intensity and inhomogeneous fat
suppression.
2 As a result the American College of Radiology asks for regular
measurements of field homogeneity. Additionally, measuring field homogeneity is
valuable in clinical situations to optimize image performance. When available
the best method to measure field homogeneity is a phase contrast technique
where the phase in a gradient echo sequence is measured at two echo times. In
many cases, however, a phase contrast technique is not readily available except
to the Field Service Engineer. We developed a method using echo planar images
whose image fidelity is very sensitive to field homogeneity. We also developed
image analysis methods to automatically estimate the distortion and from that
infer the field inhomogeneity.
Results
Figure 1 shows the measured inhomogeneity derived from the
measurement of the dimension of the phantom in the phase encode direction
versus the nominal field inhomogeneity derived from the deliberate
misadjustment of the Gy linear gradient. Figure 2 shows in each row, the
composite collection of echo planar images acquired with the phase encode gradient
oriented down or up, as well as an image derived from the distorted images
and, a an image representing the displacement necessary to transform the distorted
image into the undistorted-combined image. This set of four images is repeated
for the three settings of the quadratic shim gradient, Gxy=X
2-Y
2
of -50 µT/m
2, 0, or +50 µT/m
2. Figure 3
is a plot of the field inhomogeneity expressed as frequency offset in Hz. Note
the expected quadratic shape of the field inhomogeneity arising from the X
2-Y
2
gradient. Figure 4 plots the vertical profiles taken through the displacement
images shown in figure 2 taken through the phantom. Plots are given for the conditions of Gxy= -50
µT/m
2, 0 , or +50 µT/m
2.
Discussion
The
EPI method was successful in estimating linear field inhomogeneities
accurately. By swapping the direction of the phase encoding gradient and
acquiring two EPI images in rapid succession one can estimate the in-plane distortion
in the phase encoding direction and hence, the field homogeneity over a large
volume. The total acquisition time is on the order of 2 TR which can be as low
as 5 sec. The method can also be applied clinically where it may be used to estimate the magnetic field homogeneity where movement from cardiac or
respiratory motion would normally corrupt the measurement.
Conclusion
The
echo planar method for measuring field homogeneity can produce accurate
estimates of in-plane magnetic field homogeneity throughout a large volume. The
measurement time is short and the measurements can be performed on most MR
imagers without special pulse sequences.
Acknowledgements
This work was supported by the department of Radiology at the University of KentuckyReferences
1. P. Jezzard, R.S. Balaban, "Correction for
geometric distortion in echo planar images from B0 field variations,"
Magnetic resonance in medicine : official journal of the Society of Magnetic
Resonance in Medicine / Society of Magnetic Resonance in Medicine 34, 65-73 (1995).
2. E.M. Haacke, R. Brown, M. Thompson, R. Venkatesan, Magnetic resonance imaging: physical
principles and sequence design, 1st ed. (John Wiley & Sons, New York,
1999).
3. H. Chang, J.M. Fitzpatrick, "A technique for accurate
magnetic resonance imaging in the presence of field inhomogeneities," IEEE
transactions on medical imaging 11,
319-329 (1992).