Validation study of small-angle X-ray scattering tensor tomography.,Journal of Synchrotron Radiation

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Validation study of small-angle X-ray scattering tensor tomography.
Journal of Synchrotron Radiation ( IF 2.4 ) Pub Date : 2020-04-22 , DOI: 10.1107/s1600577520003860
Manuel Guizar-Sicairos ₁ , Marios Georgiadis ₂ , Marianne Liebi ₁

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Small-angle scattering tensor tomography (SASTT) is a recently developed technique able to tomographically reconstruct the 3D reciprocal space from voxels within a bulk volume. SASTT extends the concept of X-ray computed tomography, which typically reconstructs scalar values, by reconstructing a tensor per voxel, which represents the local nanostructure 3D organization. In this study, the nanostructure orientation in a human trabecular-bone sample obtained by SASTT was validated by sectioning the sample and using 3D scanning small-angle X-ray scattering (3D sSAXS) to measure and analyze the orientation from single voxels within each thin section. Besides the presence of cutting artefacts from the slicing process, the nanostructure orientations obtained with the two independent methods were in good agreement, as quantified with the absolute value of the dot product calculated between the nanostructure main orientations obtained in each voxel. The average dot product per voxel over the full sample containing over 10 000 voxels was 0.84, and in six slices, in which fewer cutting artefacts were observed, the dot product increased to 0.91. In addition, SAXS tensor tomography not only yields orientation information but can also reconstruct the full 3D reciprocal-space map. It is shown that the measured anisotropic scattering for individual voxels was reproduced from the SASTT reconstruction in each voxel of the 3D sample. The scattering curves along different 3D directions are validated with data from single voxels, demonstrating SASTT's potential for a separate analysis of nanostructure orientation and structural information from the angle-dependent intensity distribution.

中文翻译：

小角度X射线散射张量断层扫描的验证研究。

小角度散射张量断层扫描 (SASTT) 是最近开发的一项技术，能够通过断层扫描重建大体积内的体素的 3D 倒易空间。SASTT 扩展了 X 射线计算机断层扫描的概念，通常通过重建每个体素的张量（代表局部纳米结构 3D 组织）来重建标量值。在本研究中，通过对样品进行切片并使用 3D 扫描小角度 X 射线散射 (3D sSAXS) 来测量和分析每个薄层中单个体素的方向，从而验证了 SASTT 获得的人体小梁骨样品中的纳米结构方向。部分。除了切片过程中存在切割伪影之外，用两种独立方法获得的纳米结构取向非常一致，正如在每个体素中获得的纳米结构主取向之间计算的点积的绝对值所量化的那样。包含超过 10 000 个体素的完整样本中每个体素的平均点积为 0.84，在观察到较少切割伪影的 6 个切片中，点积增加到 0.91。此外，SAXS 张量断层扫描不仅可以产生方向信息，还可以重建完整的 3D 倒易空间图。结果表明，测量到的各个体素的各向异性散射是从 3D 样本的每个体素中的 SASTT 重建中再现的。使用来自单个体素的数据验证了沿不同 3D 方向的散射曲线，证明了 SASTT 从角度相关的强度分布中单独分析纳米结构方向和结构信息的潜力。

更新日期：2020-04-22

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