Table 1.
The effect of denoising on the average ± standard deviation of Jensen–Shannon divergence (JSD) values for single fiber regions and multiple fiber regions as a function of SNR levels for different motion corrupted percentages.
| Corrupted directions percentage | SNR levels | ||||||
|---|---|---|---|---|---|---|---|
| BASELINE-BASED MOTION CORRECTION (SINGLE FIBER REGIONS) | |||||||
| 30% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.360240 ± 0.045598 | 0.233751 ± 0.057661 | 0.206071 ± 0.056631 | 0.185168 ± 0.053253 | 0.168574 ± 0.050516 | 0.155135 ± 0.047892 | 0.135391 ± 0.043761 |
| Interpolate ALL directions (trilinear): raw | 0.334243 ± 0.059883 | 0.215623 ± 0.062502 | 0.194581 ± 0.060456 | 0.176716 ± 0.055924 | 0.162974 ± 0.052476 | 0.150333 ± 0.050609 | 0.133550 ± 0.046793 |
| Interpolate corrupted directions (trilinear): denoised | 0.352849 ± 0.040460 | 0.231980 ± 0.055656 | 0.202870 ± 0.054822 | 0.184626 ± 0.052840 | 0.167100 ± 0.049906 | 0.153834 ± 0.047516 | 0.135224 ± 0.043508 |
| Interpolate ALL directions (trilinear): denoised | 0.329328 ± 0.059218 | 0.211255 ± 0.061444 | 0.190899 ± 0.058799 | 0.175393 ± 0.055475 | 0.161398 ± 0.051984 | 0.150292 ± 0.050625 | 0.133699 ± 0.046593 |
| 70% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.410600 ± 0.031331 | 0.318959 ± 0.050478 | 0.286541 ± 0.055425 | 0.252046 ± 0.057168 | 0.230605 ± 0.055139 | 0.214138 ± 0.053860 | 0.190215 ± 0.048155 |
| Interpolate ALL directions (trilinear): raw | 0.402799 ± 0.036878 | 0.314221 ± 0.054400 | 0.284747 ± 0.059198 | 0.252745 ± 0.059908 | 0.233456 ± 0.057853 | 0.216581 ± 0.056865 | 0.192958 ± 0.051800 |
| Interpolate corrupted directions (trilinear): denoised | 0.402564 ± 0.029625 | 0.313242 ± 0.049651 | 0.284339 ± 0.052764 | 0.250802 ± 0.056173 | 0.231370 ± 0.054575 | 0.208578 ± 0.052739 | 0.190779 ± 0.047920 |
| Ine interpolate ALL directions (trilinear): denoised | 0.398054 ± 0.038274 | 0.310018 ± 0.054334 | 0.282856 ± 0.057399 | 0.251609 ± 0.058948 | 0.234186 ± 0.057342 | 0.210697 ± 0.055260 | 0.194545 ± 0.051417 |
| BASELINE-BASED MOTION CORRECTION (MULTIPLE FIBER REGIONS) | |||||||
| 30% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.429747 ± 0.014377 | 0.374981 ± 0.028244 | 0.357056 ± 0.032396 | 0.335591 ± 0.035592 | 0.319182 ± 0.036475 | 0.304666 ± 0.037237 | 0.281099 ± 0.037361 |
| Interpolate ALL directions (trilinear): raw | 0.420579 ± 0.017062 | 0.365135 ± 0.029617 | 0.349272 ± 0.032369 | 0.330066 ± 0.034023 | 0.316609 ± 0.034180 | 0.300648 ± 0.035244 | 0.278706 ± 0.034553 |
| Interpolate corrupted directions (trilinear): denoised | 0.408211 ± 0.013658 | 0.361212 ± 0.027941 | 0.345386 ± 0.032180 | 0.328742 ± 0.035251 | 0.314137 ± 0.036364 | 0.300747 ± 0.036693 | 0.279468 ± 0.036236 |
| Interpolate ALL directions (trilinear): denoised | 0.415004 ± 0.016909 | 0.357705 ± 0.029817 | 0.342500 ± 0.032743 | 0.325475 ± 0.033581 | 0.312227 ± 0.034740 | 0.300567 ± 0.034321 | 0.279097 ± 0.033992 |
| 70% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.441668 ± 0.009944 | 0.406974 ± 0.020601 | 0.394218 ± 0.025143 | 0.371914 ± 0.028719 | 0.359955 ± 0.030159 | 0.349868 ± 0.030453 | 0.326731 ± 0.028539 |
| Interpolate ALL directions (trilinear): raw | 0.438858 ± 0.010475 | 0.400544 ± 0.019045 | 0.387314 ± 0.024494 | 0.369097 ± 0.027007 | 0.358079 ± 0.028551 | 0.348511 ± 0.028087 | 0.327357 ± 0.026651 |
| Interpolate corrupted directions (trilinear): denoised | 0.428357 ± 0.009559 | 0.398647 ± 0.020752 | 0.387550 ± 0.024170 | 0.364179 ± 0.028253 | 0.353670 ± 0.029828 | 0.342159 ± 0.029064 | 0.324294 ± 0.027985 |
| Interpolate ALL directions (trilinear): denoised | 0.434734 ± 0.010609 | 0.396470 ± 0.019646 | 0.385026 ± 0.023381 | 0.364260 ± 0.026451 | 0.353628 ± 0.027830 | 0.343153 ± 0.026418 | 0.326491 ± 0.025983 |
| MODEL-BASED MOTION CORRECTION (SINGLE FIBER REGIONS) | |||||||
| 30% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.362824 ± 0.044584 | 0.234789 ± 0.057672 | 0.202436 ± 0.054992 | 0.185053 ± 0.052774 | 0.168921 ± 0.051011 | 0.154412 ± 0.048760 | 0.137016 ± 0.044368 |
| Interpolate ALL directions (trilinear): raw | 0.341529 ± 0.055268 | 0.216935 ± 0.061572 | 0.190353 ± 0.057184 | 0.177338 ± 0.053845 | 0.164345 ± 0.051940 | 0.151763 ± 0.049245 | 0.137129 ± 0.044860 |
| Interpolate corrupted directions (trilinear): denoised | 0.355832 ± 0.038952 | 0.233300 ± 0.055329 | 0.200942 ± 0.053886 | 0.183426 ± 0.051732 | 0.168669 ± 0.050471 | 0.156186 ± 0.048501 | 0.137568 ± 0.044271 |
| Interpolate ALL directions (trilinear): denoised | 0.337800 ± 0.054166 | 0.214965 ± 0.060579 | 0.188046 ± 0.056021 | 0.174993 ± 0.053265 | 0.163170 ± 0.051443 | 0.153666 ± 0.049561 | 0.139043 ± 0.045272 |
| 70% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.437995 ± 0.020398 | 0.401102 ± 0.027875 | 0.395116 ± 0.029187 | 0.392917 ± 0.028751 | 0.394547 ± 0.029421 | 0.394157 ± 0.029765 | 0.393072 ± 0.029627 |
| Interpolate ALL directions (trilinear): raw | 0.424515 ± 0.023969 | 0.389511 ± 0.029832 | 0.385682 ± 0.030147 | 0.385935 ± 0.029025 | 0.389897 ± 0.030270 | 0.390043 ± 0.030282 | 0.389524 ± 0.030102 |
| Interpolate corrupted directions (trilinear): denoised | 0.433672 ± 0.019802 | 0.392704 ± 0.026322 | 0.385278 ± 0.027166 | 0.382104 ± 0.026334 | 0.382479 ± 0.027435 | 0.383047 ± 0.028099 | 0.382639 ± 0.027850 |
| Interpolate ALL directions (trilinear): denoised | 0.423772 ± 0.023811 | 0.386144 ± 0.029342 | 0.380362 ± 0.029573 | 0.378202 ± 0.028394 | 0.380366 ± 0.029042 | 0.381810 ± 0.029858 | 0.382169 ± 0.029354 |
| MODEL-BASED MOTION CORRECTION (MULTIPLE FIBER REGIONS) | |||||||
| 30% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.431485 ± 0.013919 | 0.374890 ± 0.027681 | 0.355161 ± 0.030889 | 0.340584 ± 0.034561 | 0.322469 ± 0.035754 | 0.306188 ± 0.036843 | 0.282984 ± 0.037859 |
| Interpolate ALL directions (trilinear): raw | 0.424731 ± 0.016649 | 0.366541 ± 0.029399 | 0.348776 ± 0.031170 | 0.336014 ± 0.033028 | 0.319378 ± 0.034755 | 0.303846 ± 0.035464 | 0.283342 ± 0.035411 |
| Interpolate corrupted directions (trilinear): denoised | 0.409946 ± 0.012715 | 0.361122 ± 0.027406 | 0.344173 ± 0.030754 | 0.331062 ± 0.034374 | 0.316224 ± 0.035922 | 0.302532 ± 0.036504 | 0.281484 ± 0.036670 |
| Interpolate ALL directions (trilinear): denoised | 0.420245 ± 0.016382 | 0.360538 ± 0.029426 | 0.342159 ± 0.030712 | 0.328595 ± 0.032733 | 0.314057 ± 0.034207 | 0.300968 ± 0.035322 | 0.283460 ± 0.034162 |
| 70% | 4 | 8 | 10 | 12 | 14 | 16 | 20 |
| Interpolate corrupted directions (trilinear): raw | 0.452994 ± 0.010220 | 0.417146 ± 0.015161 | 0.410814 ± 0.016068 | 0.406033 ± 0.016404 | 0.408391 ± 0.017131 | 0.407360 ± 0.017038 | 0.402509 ± 0.019258 |
| Interpolate ALL directions (trilinear): raw | 0.441239 ± 0.011757 | 0.402898 ± 0.020790 | 0.398061 ± 0.020777 | 0.397453 ± 0.019135 | 0.401401 ± 0.018495 | 0.401485 ± 0.017602 | 0.395939 ± 0.018965 |
| Interpolate corrupted directions (trilinear): denoised | 0.448519 ± 0.009997 | 0.407138 ± 0.014850 | 0.399052 ± 0.015820 | 0.393196 ± 0.015699 | 0.393496 ± 0.016721 | 0.393950 ± 0.016122 | 0.389538 ± 0.017035 |
| Interpolate ALL directions (trilinear): denoised | 0.440633 ± 0.011008 | 0.399459 ± 0.020710 | 0.390507 ± 0.021431 | 0.385709 ± 0.020485 | 0.387375 ± 0.020483 | 0.389474 ± 0.019294 | 0.384891 ± 0.019050 |
Bold indicates the motion correction scenarios with minimal effect on the JSD metric in case of denoised datasets.