(a) 2D artificial starting object; (b) direct FBP result obtained from 180° full view of sinogram (not shown); (c) the sinogram for this object from 0° to 124°; (d) direct FBP result obtained from limited view of sinogram in (c); (e) result after 10 iterative algorithm calculations; (f) reconstructed image from the noisy sinogram with 18 dB SNR; (g) reconstructed image from the noisy sinogram with 15 dB SNR. (h) Line profiles of the 200th horizontal line in the phantom (a), 180° analytical result (b), 125° analytical result (d), and 125° iterative result (e).
Error reduction curve versus number of iterations. (a) Solid line represents error reduction curve when no noise was added to the sinogram, dashed and dotted lines represent those when the SNRs of the sinograms are 18 dB and 15 dB, respectively. (b) Error reduction curves for varying ranges of viewing angles with the same SNR of the sinograms of 15 dB.
(a) 2D view of the DAC sample with single Sn particle (dark) surrounded by silicone oil (transparent); (b) one of the iteratively reconstructed 2D slices of the Sn particle at 4.7 GPa; 3D rendering of the same Sn particle iteratively reconstructed at (c) 4.7 GPa, (d) 8.1 GPa, and (e) 12.0 GPa.
Volumes measured as a function of pressure at 4.7, 8.1, and 12.0 GPa (the size of the solid blue dot represents the estimated error bar). The EoS of Sn for both the low pressure and high pressure phases are plotted and show the good agreement between the diffraction data and tomography technique developed here.
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