ArticleActa crystallographica. Section A, Foundations and advances2018
Small-angle X-ray scattering tensor tomography: model of the three-dimensional reciprocal-space map, reconstruction algorithm and angular sampling requirements.
Article in Acta crystallographica. Section A, Foundations and advances, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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37 citing papers in PubMed.
- The narwhal tusk assembles its macroscopic helix from building blocks with opposing twists.Nature communications · 2026Article
- Combination of 3D and 2D Small and Wide Angle X-Ray Scattering Imaging Reveals Diminished Bone Quality in the Superior Human Femoral Neck Cortex.Advanced materials (Deerfield Beach, Fla.) · 2026Article
- Dynamic sampling for SAXSTT: towards real-time measurement adaptation.Journal of synchrotron radiation · 2026Article
- Three-Dimensional Characterization of the Collagen-Hydroxyapatite Interaction During Heterotopic Ossification in Healing Rat Achilles Tendons.Small science · 2026Article
- Directional dark field for nanoscale full-field transmission X-ray microscopy.Light, science & applications · 2026Article
- Anisotropic diffraction of materials with fibre symmetry: application to chitin cuticle.IUCrJ · 2026Article
- Article
- Resolving the Sodiation Process in Hard Carbon Anodes with Nanostructure Specific X-Ray Imaging.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Texture tomography with high angular resolution utilizing sparsity.Journal of applied crystallography · 2025Article
- Nonlinear Stress-Induced Transformations in Collagen Fibrillar Organization, Disorder and Strain Mechanisms in the Bone-Cartilage Unit.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Investigating the missing-wedge problem in small-angle X-ray scattering tensor tomography across real and reciprocal space.Journal of synchrotron radiation · 2024Article
- Article
- X-ray tensor tomography for small-grained polycrystals with strong texture.Journal of applied crystallography · 2024Article
- In Situ Loading and Time-Resolved Synchrotron-Based Phase Contrast Tomography for the Mechanical Investigation of Connective Knee Tissues: A Proof-of-Concept Study.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Small-angle scattering tensor tomography algorithm for robust reconstruction of complex textures.Acta crystallographica. Section A, Foundations and advances · 2023Article
- The new small-angle X-ray scattering beamline for materials research at PETRA III: SAXSMAT beamline P62.Journal of synchrotron radiation · 2023Article
- Imaging crossing fibers in mouse, pig, monkey, and human brain using small-angle X-ray scattering.Acta biomaterialia · 2023Article
- Characterization of Pharmaceutical Tablets by X-ray Tomography.Pharmaceuticals (Basel, Switzerland) · 2023Review
- Fast extraction of three-dimensional nanofiber orientation from WAXD patterns using machine learning.IUCrJ · 2023Article
- Synchrotron X-ray Studies of the Structural and Functional Hierarchies in Mineralised Human Dental Enamel: A State-of-the-Art Review.Dentistry journal · 2023Review
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Abstract
Small-angle X-ray scattering tensor tomography, which allows reconstruction of the local three-dimensional reciprocal-space map within a three-dimensional sample as introduced by Liebi et al. [Nature (2015), 527, 349-352], is described in more detail with regard to the mathematical framework and the optimization algorithm. For the case of trabecular bone samples from vertebrae it is shown that the model of the three-dimensional reciprocal-space map using spherical harmonics can adequately describe the measured data. The method enables the determination of nanostructure orientation and degree of orientation as demonstrated previously in a single momentum transfer q range. This article presents a reconstruction of the complete reciprocal-space map for the case of bone over extended ranges of q. In addition, it is shown that uniform angular sampling and advanced regularization strategies help to reduce the amount of data required.
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