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. 2018 Sep 25;8:14345. doi: 10.1038/s41598-018-32023-y

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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In (A)³² we illustrate the acquisition scheme, which in contrast to standard CT, requires fully three-dimensional rotation of the sample instead of one single axis of rotation. Subfigure (B) illustrates the reconstruction pipeline. Firstly, the scattering in each position of the specimen is modeled via spherical harmonics. Secondly, this scattering is reconstructed using tomographic reconstruction. Thirdly, the scattering information is transformed via the Funk-Radon and local maxima are extracted to obtain the orientations of the scattering profiles. In (C) we sketch the embedding of these reconstructed fiber orientation in our final result.