A scan-specific deep learning approach to Cartesian k-space interpolation was extended to in-plane accelerated simultaneous multislice imaging. This method yields images more accurate and less noisy reconstructions than conventional SMS parallel imaging algorithms, particularly as acceleration factors approach the number of receive coils. Furthermore, the models trained in one particular motion state are applicable to test data from a different motion state. This suggests that this method will be useful for cine imaging.
Separate slice-interpolating and phase-encode line interpolating networks were trained using the architectures shown in Figure 1. The models were trained using fully sampled data from individual slices. The real and imaginary components of the measured k-space are concatenated along the coil (“channel”) dimension. The first layer convolves the undersampled measured k-space with filters of size N1,PE x N1,RO x (2xNc) x NL1. Nc represents the number of receive coils. The second layer convolves the output of layer one with convolution filters of size N1,PE x N1,RO x NL1 x NL2 followed by a ReLU operation. Finally, layer three convolves the output of layer two with filters of size N1,PE x N1,RO x NL2 x NOUT. Values for NL1 and NL2 were both set to 128. For slice- and in-plane-interpolation, NOUT was set to SMS*2*Nc and (R-1)*2*Nc, respectively.
A retrospective undersampling experiment was performed on a fully-sampled respiratory-correlated 4D bSSFP dataset acquired on an Elekta 1.5T MR-Linac with eight coils (Nc=8). Two averages were acquired; one was used for training the models while the other was used for testing. RAKI was compared to split slice-GRAPPA (SP-SG)[2] with subsequent in-plane GRAPPA[3] for SMS and in-plane acceleration factors up to SMS and R=4 for 100 Monte Carlo iterations. Structural similarity metrics[4] (SSIM) were calculated to quantitatively compare RAKI to SP-SG+GRAPPA. To test robustness to respiratory motion, RAKI was trained for SMS=2 x R=3 acceleration on end-inspiratory data and applied to end-expiratory data. Finally, a simultaneous orthogonal plane imaging (SOPI)[5] dataset was also acquired on a Siemens 3T Verio with Nc=21 and SMS=2 orthogonal slices with R=3 in-plane acceleration. RAKI was compared qualitatively to SP-SG+GRAPPA. For SOPI, the calibration data were acquired with separate, low-resolution (32 phase encoding lines) scans for each slice.
A single SMS slice for all tested acceleration factors is shown in Figure 2. No differences in image quality were observed between parallel imaging and RAKI images when either the SMS or R acceleration factors are equal to one. However, as both SMS and R increase, the SP-SG+GRAPPA begins to fail as evidenced by incomplete unaliasing and noise enhancement. The mean SSIM values shown in Figure 3 from RAKI are significantly higher than those from parallel imaging for all tested acceleration values.
A closer look at the SMS=2 + R=3 acceleration factor is shown in Figure 4a. Here, the benefits of RAKI for removing artifacts and minimizing noise enhancement are clearly demonstrated. In Figure 4b, the robustness of RAKI to respiratory motion can be seen. The artifacts when applying expiratory-trained models to inspiratory data are still more benign than those introduced by conventional parallel imaging.
The SOPI results are shown in Figure 5. SP-SG+GRAPPA left severe noise enhancement near the intersection of the orthogonal slice planes. These images would have limited utility since the anatomy of interest lies at the intersection of the slices. RAKI was able to greatly reduce the amount of noise in the reconstructed SOPI images.
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