Synopsis
Although
radial MRI has favorable properties, a major disadvantage is the image blurring
caused by off-resonance effects. This is less tolerable than image distortions typically
seen in Cartesian scans. Linogram MRI,
which carries advantages of radial MRI, has an off-resonance behavior similar
to Cartesian sampling. Thus, linogram combines the beneficial properties of two
sampling techniques and avoids the disadvantages. In this study, we propose a
self-calibrated off-resonance correction method for linogram sampling, which
doesn’t require a field map. Both experimental phantom and human studies demonstrated that
the proposed method significantly improved the image quality and provided
sharper images. Introduction
Radial imaging has several
advantages over Cartesian sampling including higher parallel imaging acceleration
rates with fewer artifacts and reduced sensitivity to motion. However, a major
disadvantage of radial imaging is its susceptibility to off-resonance effects
such as B0 field inhomogeneity or chemical shift. While these imperfections
cause voxel dislocation in the reconstructed images in Cartesian sampling, they
cause blurring in conventional radial imaging. But, there exists an alternative
sampling scheme for radial imaging, called linogram
1. It samples
data at equally-sloped spokes instead of equally-angled spokes. This method not
only preserves unique undersampling properties and motion robustness of radial
sampling, but also has better off-resonance behavior
2, 3. Similar to
Cartesian sampling, off-resonance effects cause voxel dislocation in linogram
sampling. Unlike Cartesian sampling, however, voxels shift in two orthogonal
directions in linogram
2. Regardless, the correction is still trivial
and it is more accurate than deblurring methods used in radial sampling. Earlier,
Gai et al proposed a correction algorithm that required a separate B0 field map
2.
Since acquisition of an additional field map is not desirable, we propose a
self-calibrated off-resonance correction method without the need for a field
map.
Theory
Linogram
grid consists of two orthogonal butterflies, Ω
1 and Ω
2, as shown in Fig. 1. In each
butterfly, the magnitude of one of the gradients remains constant and the other
one is scaled with the tangent of the projection angle during data acquisition.
Therefore, off-resonance effects will cause a voxel to shift only in y-direction
in the image reconstructed from Ω
1 and the same amount of shift
in x-direction in the image reconstructed from the other butterfly, Ω
2. In this case, one needs a
B0 map to fix the voxel shifts
2. But, if the odd and even spokes were
collected in alternating directions in each butterfly, then it is possible to
estimate the voxel shift and fix it without a B0 map. When two low-resolution
images are reconstructed using these alternating even and odd spokes separately,
a voxel would shift in the opposite directions in these two images due to
off-resonance effects. This voxel shift can be measured by cross-correlating
the two images. Since the voxels shift by the same amount in the orthogonal
direction in the other butterfly, the accuracy of correction is further improved
by estimating the amount of shift using the same method in the other butterfly and
averaging the two estimates. Finally, the images reconstructed using Ω
1 are corrected by shifting its
voxels by the calculated amount in y-direction and applying the same correction
in x-direction on images reconstructed using Ω
2. The flowchart of the
proposed method is illustrated in Fig. 1.
Methods
Since
the off-resonance effects are local, the voxels in different regions of the
image shift by different amounts. Therefore, the image was first divided into smaller
blocks and voxels shifts were estimated in each block. Note that the
off-resonance effects were assumed constant in each block. Once each block was
processed separately, they were combined to obtain the final image. To test
this method, phantom and human data were
acquired on a 3T GE MR750 system, and off-resonance artifacts were fixed using the proposed self-calibrated
correction method. Human study was
approved by the IRB and written consent was obtained from the participant. Acquisition
parameters were TR/TE=25ms/12ms, FA=12, FOV=28cm, BW=+/-62.5kHz for the phantom
and TR/TE=13ms/7ms, FA=12, FOV=40cm, BW=+/-62.5kHz for the human study. Phantom
data was acquired from 11cm diameter GE phantom using a quadrature RF coil.
Human data was acquired from the lumbar spine using the CTL coil.
Results
Fig.
2 illustrates uncorrected and corrected experimental phantom images and Fig. 3
shows the axial scans from the lumbar spine with and without correction. It can
be seen that proposed correction method moves the dislocated voxels back into
their correct positions and generates significantly sharper images.
Discussion & Conclusion
In this
study, we simplified the reconstruction by assuming that the B0 shift would be constant
in each block. However,
more complicated models, such as linear or higher order variations in each block, are also feasible to further improve correction using
a similar approach described in
4. The block size was found emprically,
but we are currently working on estimating an optimal size. In conclusion, the proposed method for linogram MRI minimized off-resonance
blurring without a B0 map. Although these artifacts are commonly encountered in
radial MRI, it is harder and less accurate to correct such effects. This is an
important advantage of linogram MRI, especially in high field applications, since
susceptibility related artifacts become more pronounced in higher fields.
Acknowledgements
This study is supported in part by funds from Advancing a Healthier Wisconsin AHW28FP00002161.References
1. Axel L, Herman GT, Roberts DA, Dougherty L. Linogram
reconstruction for magnetic resonance imaging (MRI). IEEE Trans. Med. Imaging
1990;9:447–449. doi: 10.1109/42.61760.
2. Gai N, Axel L.
Characterization of and correction for artifacts in linogram MRI. Magn. Reson.
Med. 1997;37:275–284.
3. Ersoz A, Muftuler LT.
Pseudo-Polar trajectories achieve high acceleration rates with high image
fidelity: experiments at 3T and 7T. In: Proceedings of the 23rd Annual Meeting
of the ISMRM. Vol. 3628; 2015.
4. Smith T, Nayak K.
Automatic off-resonance correction with piecewise linear autofocus. In:
Proceedings of the 20th Annual Meeting of the ISMRM. Vol. 218; 2012.