Table 1. Image similarity.
The group mean (± group standard deviation) across the 20 HCP subjects of the mean absolute error (MAE), peak signal-to-noise ratio (PSNR) and structural similarity index measure (SSIM) of b = 0 images and the diffusion-weighted images (DWI, along the same diffusion-encoding direction as the DWI shown in Figure 3) from the raw data (a), each subset of SDnDTI input data (b–d) (a single raw b = 0 image or DWIs synthesized from the diffusion tensor fitted using three b = 0 images and six DWIs), the averaged b = 0 image or DWIs synthesized from the diffusion tensor fitted using three b = 0 images and 18 DWIs (f), the raw data denoised by supervised learning with the ground-truth images as the training target (i.e., supervised-denoising) (f), each subset of SDnDTI-denoised data (g–i), the average of all three subsets of SDnDTI-denoised data (j), and the raw data denoised by BM4D (k) and AONLM (l) compared to the ground-truth images generated from the tensor fitted using all 18 b = 0 and 90 DWIs.
a | b | c | d | e | f | 9 | h | i | j | k | I | ||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Raw | Synth. (subset 1) | Synth. (subset 2) | Synth. (subset 3) | Synth. (18 DWIs) | Supervised | SDnDTI (subset 1) | SDnDTI (subset 2) | SDnDTI (subset 3) | SDnDTI (average) | BM4D | AONLWI | ||
MAE | b = 0 | 0.017 ± 0.00097 | 0.015 ± 0.00098 | 0.015 ± 0.00088 | 0.011 ± 0.00087 | 0.0099 ± 0.00073 | 0.014 ± 0.00091 | 0.013 ± 0.00087 | 0.013 ± 0.00078 | 0.01 ± 0.00082 | 0.014 ± 0.00063 | 0.013 ± 0.0007 | |
DWI | 0.033 ± 0.0021 | 0.034 ± 0.0021 | 0,035 ± 0.0021 | 0.035 ± 0.0022 | 0.019 ± 0.0012 | 0.012 ± 0.00072 | 0.018 ± 0.0011 | 0.018 ± 0.00099 | 0.018 ± 0.0011 | 0.012 ± 0.00073 | 0.023 ± 0.0012 | 0.024 ± 0.0012 | |
PSNR (dB) | b = 0 | 32.19 ± 0.62 | 32.94 ± 0.58 | 33.41 ± 0.6 | 35.31 ± 0.75 | 36.54 ± 0.76 | 33.18 ± 0.69 | 34.00 ± 0.6 | 34.35 ± 0.63 | 35.85 ± 0.77 | 33.67 ± 0.46 | 34.12 ± 0.55 | |
DWI | 27.13 ± 0.57 | 26.89 ± 0.61 | 26.34 ± 0.61 | 26.45 ± 0.71 | 31.55 ± 0.8 | 35.83 ± 0.54 | 31.87 ± 0.86 | 31.68 ± 0.93 | 31.70 ± 1.09 | 34.50 ± 1.32 | 30.23 ± 0.47 | 30.16 ± 0.46 | |
SSIM | b = 0 | 0.96 ± 0.0042 | 0.97 ± 0.004 | 0.97 ± 0.0039 | 0.99 ± 0.0023 | 0.99 ± 0.0019 | 0.98 ± 0.0029 | 0.98 ± 0.0025 | 0.98 ± 0.0024 | 0.99 ± 0.0018 | 0.98 ± 0.002 | 0.98 ± 0.0022 | |
DWI | 0.88 ± 0.013 | 0.88 ± 0.013 | 0.86 ± 0.013 | 0.87 ± 0.013 | 0.95 ± 0.0054 | 0.98 ± 0.0023 | 0.96 ± 0.0047 | 0.96 ± 0.0047 | 0.96 ± 0.0047 | 0.98 ± 0.0024 | 0.94 ± 0.0056 | 0.94 ± 0.0058 |