Small-angle X-ray scattering tensor tomography: model of the three-dimensional reciprocal-space map, reconstruction algorithm and angular sampling requirements

Liebi, M.; Georgiadis, M.; Kohlbrecher, J.; Holler, M.; Raabe, J.; Usov, I.; Menzel, A.; Schneider, P.; Bunk, O.; Guizar-Sicairos, M.

doi:10.1107/S205327331701614X

Acta Crystallographica Section A
Acta Crystallographica
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Figure 12
Orientation of the bone ultrastructure from a human trabecular bone (sample C). Four two-dimensional SAXS projections at different sample orientations are shown in (a), where the colour wheel represents the main scattering orientation, the hue the scattering intensity and the degree of orientation the colour saturation. The orientation of the bone ultrastructure retrieved from SAXS tensor tomography is shown in (b) and (c), where the colour represents the degree of orientation and the length of the isotropic component a₀⁰. (b) Reconstruction without regularization applied and (c) with regularization of the spherical harmonics coefficients $[a_{l}^{m}({\bf r}^\prime,q^\prime)]$ and on the direction $[{\hat{\bf u}}^{\rm str}_{\theta{\rm op},\varphi{\rm op}}]$ as described in the text.

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ISSN: 2053-2733

Volume 74| Part 1| January 2018| Pages 12-24

https://doi.org/10.1107/S205327331701614X

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