Id |
Subject |
Object |
Predicate |
Lexical cue |
T406 |
0-10 |
Sentence |
denotes |
Appendix 2 |
T407 |
11-21 |
Sentence |
denotes |
Resolution |
T408 |
22-153 |
Sentence |
denotes |
Resolution estimates are challenging for tissue reconstructions due to the absence of sharp edges or features of well defined size. |
T409 |
154-224 |
Sentence |
denotes |
Here, we follow the approach known as Fourier-shell correlation (FSC). |
T410 |
225-388 |
Sentence |
denotes |
Accordingly, an upper bound for the resolution is be obtained in the following way: the CT scan is split into two, and from each half a 3D volume is reconstructed. |
T411 |
389-568 |
Sentence |
denotes |
After registry, that is, mutual alignment of the volumes, the correlation between the two independent reconstructions in Fourier space is plotted as function of spatial frequency. |
T412 |
569-724 |
Sentence |
denotes |
This correlation must not necessarily reflect the pure system resolution, but instead the range of spatial frequencies over which the results are reliable. |
T413 |
725-849 |
Sentence |
denotes |
As such it is not only affected by the system resolution but also by the sample contrast and the noise of the specific scan. |
T414 |
850-1022 |
Sentence |
denotes |
Further, it represents an average over all structures, not taking into account that features with stronger/weaker contrast can correspondingly show higher/lower resolution. |
T415 |
1023-1114 |
Sentence |
denotes |
Here the Fourier operation for FSC was implemented with a Kaiser-Bessel window of 7 pixels. |
T416 |
1115-1260 |
Sentence |
denotes |
For the parallel-beam data, a central volume of 650 × 650 × 650 voxels was correlated, for the cone-beam data a volume of 685 × 680 × 250 voxels. |
T417 |
1261-1395 |
Sentence |
denotes |
These sub-volumes were selected to obtain the average values for the tissue while minimizing contributions from paraffin-filled holes. |
T418 |
1396-1452 |
Sentence |
denotes |
The correlation curves are shown in Appendix 2—figure 1. |
T419 |
1453-1576 |
Sentence |
denotes |
The intersection of the curve with the half-bit threshold yields the resolution estimate, indicated with dashed black line. |
T420 |
1577-1721 |
Sentence |
denotes |
Correspondingly, a half-period resolution of 0.71μm and 0.39μm (or better) is obtained for the parallel and cone beam dataset, respectively. |
T421 |
1722-1932 |
Sentence |
denotes |
However, since the splitted dataset resulted in only 721 angles for the reconstruction, i.e. the resolution estimate is severely affected by under-sampling artifacts, and hence can only serve as an upper bound. |
T422 |
1933-1978 |
Sentence |
denotes |
Appendix 2—figure 1 illustrates the analysis. |
T423 |
1979-1999 |
Sentence |
denotes |
Appendix 2—figure 1. |
T424 |
2001-2065 |
Sentence |
denotes |
Quantification of the 3D-resolution for the example of sample V. |
T425 |
2066-2175 |
Sentence |
denotes |
FSC analysis was carried out for two independent reconstructions, each from half the projections of the scan. |