Chinese Journal of Magnetic Resonance ›› 2022, Vol. 39 ›› Issue (3): 291-302.doi: 10.11938/cjmr20212918
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Received:2021-05-13
Published:2022-09-05
Online:2021-08-27
Contact:
Yuan-jun WANG
E-mail:yjusst@126.com
CLC Number:
Qin ZHOU, Yuan-jun WANG. Groupwise Registration for Magnetic Resonance Image Based on Variational Inference[J]. Chinese Journal of Magnetic Resonance, 2022, 39(3): 291-302.
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Fig.3
Probability generation model. White circle represents hidden variable, gray circle represents observed value (input image), and squares represent parameters. Dashed rectangle indicates the number of independent repeats N of the x, y, z variables inside. Registration prior is defined by the mean value μz and covariance Σz of Gaussian parameters
Table 1
Groupwise registration results of multiple metrics on LPBA40 test set by different algorithms
| 方法 | Avg. Dice* | GPU运行时间/s* | Percentages (%) of | EM1 | EM2 |
| ANTs (Syn) | 0.689 (0.036) | 45.6 (19) | 930.98 | 6.54 | |
| voxelmorph-diff | 0.698 (0.030) | 0.51 (0.03) | 49.6 (11) | 960.67 | 6.29 |
| voxelmorph | 0.672 (0.031) | 0.49 (0.02) | 48.9 (26) | 969.46 | 7.08 |
| 本文方法 | 0.701 (0.025) | 0.40 (0.02) | 45.0 (18) | 940.89 | 5.07 |
Fig.7
Mean images of distorted images by different algorithms. (a) Sagittal section central slice; (b) Coronal section central slice; (c) Horizontal section central slice. In each sub-figure, the first row from left to right is the mean image by voxelmorph algorithm, and voxelmorph-diff algorithm, the second row from left to right is the mean image by Syn algorithm and the method proposed in this work
Table 2
Groupwise registration results of multiple metrics on LPBA40 testing set with different noise intensities using the proposed method
| 噪声方差(均值为0) | Avg. Dice* | GPU运行时间/s* | Percentages (%) of | EM1 | EM2 |
| 0.001 | 0.686 (0.026) | 0.50 (0.02) | 48.8 (21) | 1330.97 | 89.54 |
| 0.002 | 0.683 (0.030) | 0.60 (0.04) | 49.3 (27) | 1360.67 | 100.29 |
| 0.003 | 0.646 (0.031) | 0.58 (0.02) | 51.7 (19) | 1469.46 | 99.08 |
| 0.004 | 0.656 (0.020) | 0.62 (0.03) | 54.5 (28) | 1480.89 | 113.07 |
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