Compared with the low-dose images, the full-dose images synthesized by the deep learning method demonstrated significantly improved image quality. PET images with a dose of less than 5% showed irregular spots, and their contours, shapes, and contrast were different from those of the target images. In the images synthesized from those with a dose of less than 5%, the spots were eliminated, and the shape features and contrast were relatively consistent with those of the target images. In PET images with a dose greater than 5%, the contours, shapes, and contrast were similar to those the target images, but subtle differences could be observed. In the synthesized PET images, the shapes, contours, and contrast were consistent with those of the target images.
After training the model, we calculated the mean and standard deviation of the RCNR, PSNR, SSIM, NMSE among the original low-dose PET original image, the synthesized full-dose images, the prior-synthesized full-dose images, and the target images of all doses in the test set. Table 1 shows the mean and standard deviation values of the image indicators. To more intuitively visualize the differences in these image indicators, Fig. 2 shows the histograms of the structural similarity and NMSE indicators. The processed low-dose images had significantly better image quality than the original low-dose PET images. The images based on MR prior synthesis showed better image quality at the global-feature and pixel levels.
Table 1
Objective indicators for low-dose PET images, synthesized full-dose PET images, MR prior-synthesized full-dose PET images, and target images.
Image | PSNR | SSIM | NMSE | RCNR |
2.5% | 25.56\(\pm\)4.99 | 0.745\(\pm\)0.112 | 0.065\(\pm\)0.045 | 0.835\(\pm\)0.267 |
2.5%PET | 32.51\(\pm\)4.89 | 0.820\(\pm\)0.079 | 0.029\(\pm\)0.021 | 1.046\(\pm\)0.213 |
2.5%PET+MR | 33.34\(\pm\)4.47 | 0.846\(\pm\)0.060 | 0.026\(\pm\)0.018 | 1.118\(\pm\)0.218 |
5% | 26.99\(\pm\)5.56 | 0.756\(\pm\)0.113 | 0.057\(\pm\)0.037 | 0.860\(\pm\)0.227 |
5%PET | 33.25\(\pm\)4.57 | 0.814\(\pm\)0.137 | 0.026\(\pm\)0.018 | 1.032\(\pm\)0.216 |
5%PET+MR | 33.78\(\pm\)4.25 | 0.817\(\pm\)0.141 | 0.024\(\pm\)0.017 | 0.964\(\pm\)0.248 |
25% | 29.58\(\pm\)7.05 | 0.832\(\pm\)0.114 | 0.047\(\pm\)0.036 | 0.901\(\pm\)0.195 |
25%PET | 36.90\(\pm\)4.40 | 0.893\(\pm\)0.090 | 0.017\(\pm\)0.012 | 1.035\(\pm\)0.123 |
25%PET+MR | 37.86\(\pm\)4.16 | 0.916\(\pm\)0.063 | 0.015\(\pm\)0.012 | 1.004\(\pm\)0.126 |
50% | 32.02\(\pm\)8.66 | 0.865\(\pm\)0.123 | 0.040\(\pm\)0.036 | 0.909\(\pm\)0.183 |
50%PET | 39.48\(\pm\)3.90 | 0.919\(\pm\)0.067 | 0.012\(\pm\)0.008 | 1.009\(\pm\)0.079 |
50%PET+MR | 39.88\(\pm\)3.83 | 0.896\(\pm\)0.092 | 0.012\(\pm\)0.007 | 0.996\(\pm\)0.080 |
Figure 3 shows one patient's original 2.5%-, 5%-, 25%-, and 50%-dose PET images and their corresponding synthesized full-dose PET images and prior-synthesized full-dose PET images for the prostate. The average RCNR of the low-dose PET images and MR prior-based synthesized low-dose PET images was close to 1. Moreover, the pelvic contour details of the prior-based synthesized images for doses of 25% and above are visible.
We transferred the synthesized images and MR prior synthesized images for each low-dose image to DICOM format, subtracted each image from the original full-dose PET image matrix, and finally divided the difference matrix by the maximum value of the original image. The resulting image matrixes are shown in Fig. 4. The error between the 25%-dose synthesized images and the prior-synthesized images are within 25%, and the error between the 50%-dose synthesized images and the prior-synthesized images are within 10%.
Six patients were selected from the test set, all of whom had images of prostate or pelvic lesions, as shown in Fig. 5. The figure shows the diffusion weighted (DW) image, apparent diffusion coefficient (ADC) image, T2-weighted image, full-dose image, and various synthesized images. The DW image, ADC image, and T2-weighted image in the MR sequence are important references for clinical diagnosis, and the PET images and MR images are complementary.
In the clinical quantification phase, we selected 32 images with lesions in the pelvis or prostate from the test set for scoring. Table 2 shows the mean and variance of the scored from the two nuclear medicine doctors for PET images of different doses, processed PET images, and prior-based PET images. The average score of the full-dose images MR prior-synthesized from 25%-dose PET images is 0.1 points lower than the average score of the target images. In contrast, the average score of the full-dose images synthesized from 25% dose PET images without the prior is 0.3 points lower than the average score of the target images. In addition, to improve the credibility of the analysis, we combined the scores of the two doctors. When the two nuclear medicine doctors had different scores for the same image, then the lower score of the two was taken. Fig. 6 shows the distribution of this score. When MR images were used as the prior, more than 80% of the full-dose PET images synthesized from 25%-dose PET images had scores of 4, while the rest had scores of 3. When no priors were used, the scores of the full-dose images synthesized from the 25%-dose images indicated that the full-dose images were between good and poor quality. Regardless of whether MR images were used as priors, the scores of the full-dose image synthesized from the 50%-dose PET images were greater than or equal to 4. At each dose, using MR images as priors in synthesizing the images was better than using single low-dose PET images to synthesize full-dose images.
Table 2
Mean clinical quantitative scores from nuclear medicine doctors on low-dose PET images, synthesized full-dose PET images, MR prior-synthesized full-dose PET images, and target images.
| Original | PET | PET+MR |
2.5% | 1.00\(\pm\)0.00 | 2.44\(\pm\)0.56 | 2.69\(\pm\)0.46 |
5% | 1.69\(\pm\)0.46 | 2.94\(\pm\)0.43 | 3.28\(\pm\)0.57 |
25% | 2.47\(\pm\)0.50 | 3.62\(\pm\)0.48 | 3.84\(\pm\)0.36 |
50% | 3.03\(\pm\)0.39 | 4.03\(\pm\)0.17 | 4.03\(\pm\)0.17 |
100% | 3.94\(\pm\)0.24 | - | - |