Julia Velikina1, Andrew Alexander1, Joseph Salmons1, Eric Raimy1, Thomas Purnell1, Steven Kecskemeti1, and Alexey Samsonov1
1University of Wisconsin - Madison, Madison, WI, United States
Synopsis
Dynamic MRI holds high potential for real-time imaging
of upper airway, which can provide insights into questions of speech science and
also have important clinical applications.
However, speech imaging places increased demands on spatial and temporal
resolution, necessitating image reconstruction from severely undersampled
data. Previously reported methods use
low-rank constraints with spiral navigators to enable temporal basis
estimation, otherwise infeasible with standard learning methods. We propose an alternative solution based on a
novel concept of progressive learning, which does not require separate specialized
pulse sequences for navigator acquisitions, while providing high 7.4 ms
temporal and 1.25x1.25x8 mm spatial resolution.
Introduction
Dynamic MRI holds potential for real-time upper airway imaging, providing
insights into articulation, phonetics, language acquisition and disorders, and important
clinical applications (velopharyngeal insufficiency). Unlike other MRI
applications, speech imaging places increased demands on spatial (1-4mm)
and temporal (<40-70ms) resolutions to visualize small structures (velum, tongue
border) and study velopharyngeal closure/tongue movements1,2. This
necessitates image reconstruction from highly undersampled data even for
optimized acquisitions. Recently, the use of low-rank constraints achieved 9.8ms
temporal, 2.2x2.2x6.5mm spatial resolutions3 interleaving
single-view data collection with low-resolution spiral navigators to enable temporal
basis estimation, which cannot otherwise be learned from limited data. Here, we
propose an alternative solution based on novel concept of progressive learning,
which does not require separate training data collection and, hence,
specialized pulse sequences, while attaining even higher temporal/spatial
resolutions.Theory
We demonstrate the new method using MOdel Consistency COndition (MOCCO)
approach4, which efficiently reconstructs undersampled dynamic data
given an estimate of temporal model basis. The standard, low-resolution
learning (LRL), way constructs the basis from first several principal
components (PCs) of singular value decomposition (SVD) of low-resolution image series
estimated from fully-sampled k-space center. However, for extreme
undersampling, too few samples are available in k-space center for robust LRL. Recently,
low-rank matrix completion was proposed for basis learning5,6. However,
it becomes computationally prohibitively for non-Cartesian sampling. Therefore, we
propose progressive learning (PL) to determine PCs by imposing
regularity constraint on their temporal evolution. Image series at target
resolution $$$\Delta t$$$ is obtained as follows: (1) initialize image series from data grouped at
coarse temporal resolution $$$\Delta t_1$$$ ensuring sufficient k-space center
sampling for SVD; (2) interpolate between frames to produce image series approximation at
finer resolution $$$\Delta t_2$$$; (3) apply SVD to learn PCs at $$$\Delta t_2$$$; (4)
perform MOCCO image series reconstruction from data grouped at finer resolution $$$\Delta t_2$$$; (5) repeat steps (2-4) to
refine resolution further.Methods
Data were acquired in healthy volunteer scans at 3T scanner (MR750, GE
Healthcare) using 6-channel carotid
coil. To ensure compatibility with proposed PL, radial pulse sequence with
golden angle ordering was used7 as it allows flexible selection of
temporal resolution due to nearly uniform k-space coverage for any subset of consecutive
projections. During the first scan (sagittal orientation, TR/TE=3.7ms/1.4ms,
8mm slice thickness, FOV=240mm, 192x192 matrix) volunteer pronounced “LaLa
Land. Moonlight”. The second scan performed in axial orientation to image
arythenoid cartilage (TR/TE=3.5ms/1.3ms, 6mm slice thickness, FOV=180mm, 140x140
matrix) had volunteer alternate sounds /z/ and /s/. In both cases, acquired
k-space data were grouped into 20 projections/frame to form coarse temporal
sequence for method’s initialization, and reconstructed with SENSE8.
During PCs refinement, image series were interpolated by cubic splines9.
The PL procedure was repeated three times in the first case to obtain image
series with 2 projections/frame ($$$\Delta t=$$$7.4ms), and twice in the second
case leading to image series with 5 projections/frame ($$$\Delta t=$$$17.5ms).
The results were compared to MOCCO reconstruction with LRL PCs at
highest targeted temporal resolution, and with alternative approach imposing
regularity constraint in temporal dimension using first difference
regularization10.Results
Representative time frames (Fig. 1) demonstrate that PL-MOCCO provides
consistent image quality for different temporal resolutions while MOCCO with
equivalent number of LRL PCs (seven) exhibits poor image quality degrading
further for higher temporal resolution. Although visual image quality improves
for two LRL PCs due to more efficient constraining, this model is insufficient
to resolve complex image dynamics (arrows). Temporal profiles (Fig. 2) further
illustrate the need for high temporal resolution to resolve rapid lip/tongue
movements. The difference in PCs obtained by different approaches for
axial speech imaging at $$$\Delta t=$$$17.5ms is illustrated in Fig. 3. Note rapid
oscillations of PCs learned in standard/alternative ways due to residual
aliasing in training data, leading to poor image quality for reconstruction
from them (Fig. 4a-b), while PL produces images without residual artifacts
(Fig. 4c).Discussion
In this work, we proposed a new approach for dynamic
imaging with very high temporal and spatial resolutions. The new method derives
from advantages of several components including golden angle sampling and novel
progressive learning of temporal model. The new approach was able to perform
dynamic speech imaging using only two projections per frame, which brings it
near limit of maximum possible temporal resolutions with radial acquisition. In
context of speech imaging, the obtained spatial (1.25x1.25x8mm) and temporal (7.4ms)
resolutions may be beneficial for visualizing velopharyngeal insufficiency for
speech therapy and surgical interventions and allow for multi-slice imaging at
high resolutions. Additionally, the use of radial sampling avoids off-resonance
blurring/distortion common for alternative sampling schemes such as spirals.Acknowledgements
The authors gratefully acknowledge support from NIH R21 EB018483, R01NS066982, and University of Wisconsin - Madison fund UW2020.References
1. Lingala SG, Sutton BP, Miquel ME, Nayak KS. Recommendations for real-time speech MRI. J. Magn. Reson. Imaging 2016;43:28–44.
2. Bae Y, Kuehn DP, Conway CA, Sutton BP. Real-time magnetic resonance imaging of velopharyngeal activities with simultaneous speech recordings. Cleft Palate Craniofac J 2011;48:695–707.
3. Fu M, Zhao B, Carignan C, Shosted RK, Perry JL, Kuehn DP, Liang ZP, Sutton BP. High-resolution dynamic speech imaging with joint low-rank and sparsity constraints. Magn. Reson. Med. 2015;73:1820–1832.
4. Velikina JV and Samsonov AA. Reconstruction of dynamic image series from undersampled MRI data using data-driven model consistency condition (MOCCO). Magn. Reson. Med. 2015;74:1279–1290.
5. Lyu J, Nakarmi U, Zhang C, Ying L. Highly accelerated cardiac cine parallel MRI using low-rank matrix completion and partial separability model, Proc. SPIE Compressive Sensing V: From Diverse Modalities to Big Data Analytics, 2016:9857.
6. Balachandrasekaran A, Ongie G, Jacob M. Accelerated dynamic MRI using structured low rank matrix completion, Proc. IEEE International Conference on Image Processing 2016.
7. Winkelmann S, Schaeffter T, Koehler T, Eggers H, Doessel O. An optimal radial profile order based on the Golden Ratio for time-resolved MRI. IEEE Trans Med Imaging 2007;26:68–76.
8. Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P. SENSE: Sensitivity encoding for fast MRI. Magn. Reson. Med. 1999;42:952–962.
9. Boor C de. A Practical Guide to Splines, Springer-Verlag New York, 1978.
10. Adluru G, Awate SP, Tasdizen T, Whitaker RT, DiBella EVR. Temporally constrained reconstruction of dynamic cardiac perfusion MRI. Magn. Reson. Med. 2007;57:1027–1036.