Table 1 Test results of three models for automatically segmenting multiple BMs.
Diameter (mm) | U-Net | U-Net Cascade | BUC-Net | \({P}_{12}\) | \({P}_{23}\) | \({P}_{31}\) |
|---|---|---|---|---|---|---|
DSC | ||||||
Binary-class (n = 96) | 0.891 ± 0.021 | 0.894 ± 0.012 | 0.912 ± 0.022 | 0.226 | 0.038 | 0.019 |
Multi-class (n = 1152) | 0.757 ± 0.016 | 0.782 ± 0.011 | 0.797 ± 0.015 | 0.001 | 0.397 | 0.001 |
< 3 (n = 60, 5%) | 0.571 ± 0.031 | 0.589 ± 0.059 | 0.641 ± 0.055 | 0.011 | 0.085 | 0.009 |
3–6 (n = 714, 46%) | 0.667 ± 0.025 | 0.725 ± 0.018 | 0.734 ± 0.018 | 0.001 | 0.966 | 0.001 |
6–9 (n = 258, 27%) | 0.842 ± 0.018 | 0.844 ± 0.014 | 0.848 ± 0.013 | 0.437 | 0.517 | 0.807 |
9–12 (n = 70, 9%) | 0.893 ± 0.013 | 0.872 ± 0.018 | 0.894 ± 0.012 | 0.061 | 0.214 | 0.127 |
12–15 (n = 20, 6%) | 0.933 ± 0.007 | 0.913 ± 0.012 | 0.923 ± 0.007 | 0.249 | 0.139 | 0.062 |
15–18 (n = 8, 2%) | 0.931 ± 0.010 | 0.926 ± 0.010 | 0.936 ± 0.014 | 0.123 | 0.187 | 0.631 |
18–21 (n = 10, 1%) | 0.932 ± 0.011 | 0.924 ± 0.012 | 0.943 ± 0.011 | 0.201 | 0.041 | 0.081 |
> 21 (n = 12, 3%) | 0.931 ± 0.012 | 0.931 ± 0.014 | 0.954 ± 0.012 | 0.014 | 0.002 | 0.031 |
HD95 [mm] | ||||||
Binary-class (n = 96) | 3.812 ± 1.070 | 3.441 ± 1.378 | 0.901 ± 0.110 | 0.381 | 0.144 | 0.022 |
Multi-class (n = 1152) | 1.348 ± 0.091 | 1.171 ± 0.072 | 0.922 ± 0.041 | 0.164 | 0.057 | 0.001 |
< 3 (n = 60, 5%) | 1.886 ± 0.351 | 2.074 ± 0.554 | 0.924 ± 0.128 | 0.106 | 0.045 | 0.041 |
3–6 (n = 714, 46%) | 1.336 ± 0.145 | 1.148 ± 0.119 | 0.824 ± 0.056 | 0.523 | 0.039 | 0.012 |
6–9 (n = 258, 27%) | 0.980 ± 0.122 | 1.141 ± 0.161 | 0.941 ± 0.080 | 0.424 | 0.206 | 0.156 |
9–12 (n = 70, 9%) | 1.027 ± 0.151 | 1.255 ± 0.204 | 0.904 ± 0.103 | 0.298 | 0.079 | 0.045 |
12–15 (n = 20, 6%) | 1.844 ± 0.127 | 1.713 ± 0.745 | 0.860 ± 0.187 | 0.233 | 0.023 | 0.041 |
15–18 (n = 8, 2%) | 1.710 ± 0.103 | 1.137 ± 0.432 | 0.950 ± 0.040 | 0.256 | 0.003 | 0.005 |
18–21 (n = 10, 1%) | 0.925 ± 0.009 | 0.791 ± 0.062 | 0.639 ± 0.012 | 0.301 | 0.068 | 0.002 |
> 21 (n = 12, 3%) | 1.664 ± 0.611 | 1.813 ± 0.546 | 1.234 ± 0.549 | 0.232 | 0.007 | 0.029 |
ASD [mm] | ||||||
Binary-class (n = 96) | 0.918 ± 0.207 | 0.964 ± 0.417 | 0.332 ± 0.142 | 0.261 | 0.001 | 0.001 |
Multi-class (n = 1152) | 0.326 ± 0.021 | 0.289 ± 0.015 | 0.210 ± 0.017 | 0.211 | 0.013 | 0.012 |
< 3 (n = 60, 5%) | 0.315 ± 0.185 | 0.438 ± 0.106 | 0.281 ± 0.064 | 0.587 | 0.116 | 0.073 |
3–6 (n = 714, 46%) | 0.373 ± 0.057 | 0.273 ± 0.020 | 0.211 ± 0.024 | 0.079 | 0.107 | 0.296 |
6–9 (n = 258, 27%) | 0.255 ± 0.026 | 0.238 ± 0.034 | 0.201 ± 0.043 | 0.623 | 0.005 | 0.003 |
9–12 (n = 70, 9%) | 0.275 ± 0.035 | 0.304 ± 0.029 | 0.210 ± 0.028 | 0.249 | 0.431 | 0.343 |
12–15 (n = 20, 6%) | 0.227 ± 0.017 | 0.240 ± 0.015 | 0.209 ± 0.007 | 0.44 | 0.041 | 0.279 |
15–18 (n = 8, 2%) | 0.200 ± 0.031 | 0.239 ± 0.025 | 0.208 ± 0.011 | 0.111 | 0.086 | 0.128 |
18–21 (n = 10, 1%) | 0.234 ± 0.007 | 0.273 ± 0.009 | 0.225 ± 0.010 | 0.303 | 0.029 | 0.056 |
> 21 (n = 12, 3%) | 0.371 ± 0.078 | 0.410 ± 0.068 | 0.230 ± 0.066 | 0.112 | 0.001 | 0.001 |