Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization

Wieczorek, Matthias; Schaff, Florian; Pfeiffer, Franz; Lasser, Tobias

doi:10.1103/physrevlett.117.158101

Cited by 37 publications

(38 citation statements)

References 25 publications

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“…While this validation is limited to scattering models with cylindrical symmetry and a single preferential orientation per voxel, the spherical harmonics basis can represent much more general distributions if higher orders are included, as has been demonstrated for texture analysis (Roe, 1965, Bunge & Roberts, 1969 and more recently for directional dark-field tomography in the work of Wieczorek et al (2016).…”

Section: Discussionmentioning

confidence: 99%

Validation study of small-angle X-ray scattering tensor tomography

2020

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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.

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Section: Discussionmentioning

confidence: 99%

Validation study of small-angle X-ray scattering tensor tomography

2020

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“…In order to do so, we use the recently introduced AXDT method 18 . Here the scattering profile in each location of the object is modeled as a spherical function such that the process of reconstruction aims at recovering this field of spherical functions .…”

Section: Methodsmentioning

confidence: 99%

“…To overcome this limitation, Wieczorek et al . 18 presented a technique termed “Anisotropic X-ray Dark-field Tomography” (AXDT) which reconstructs the scattering profile as a spherical function represented using spherical harmonics. This method not only provides a more accurate and robust representation of the three-dimensional scattering profile but also allows for the extraction of multiple scattering orientations in a single volume element.…”

Section: Introductionmentioning

confidence: 99%

Design of Acquisition Schemes and Setup Geometry for Anisotropic X-ray Dark-Field Tomography (AXDT)

Sharma

Schaff

Wieczorek

et al. 2017

Sci Rep

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Anisotropic X-ray Dark-field Tomography (AXDT) is a new imaging technique for reconstructing the three-dimensional scattering profile within a sample using the dark-field signal measured in an X-ray grating interferometry setup. As in any tomographic measurement, the acquisition geometry plays a key role in the accurate reconstruction of the scattering information. More- over, the anisotropic nature of the dark-field signal poses additional challenges for designing the acquisition protocols. In this work, we present an efficient approach to measure scattering orientations spread over the unit sphere and prove its efficacy using the knowledge from conventional tomography. In addition, we conclude (using analytical and experimental results) that placing the gratings such that the grating bars make an angle of 45 degrees with respect to the vertical direction is the optimal setup configuration for AXDT.

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“…Nevertheless, this technique is not limited to (pre-)clinical diagnostics, but can also be applied in material science or quality assurance. Implementation of a three-circle Eulerian cradle expands this technique to three-dimensional reconstruction, so-called anisotropic X-ray dark-field tomography (AXDT) (Wieczorek et al, 2016), the generalized form of X-ray tensor tomography (Malecki et al, 2014). AXDT is currently not possible at the MuCLS, as the sample stage lacks one rotational degree of freedom, but is going to be available in the near future.…”

Section: X-ray Vector Radiography and X-ray Tensor Tomographymentioning

confidence: 99%

The versatile X-ray beamline of the Munich Compact Light Source: design, instrumentation and applications

et al. 2020

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Inverse Compton scattering provides means to generate low-divergence partially coherent quasi-monochromatic, i.e. synchrotron-like, X-ray radiation on a laboratory scale. This enables the transfer of synchrotron techniques into university or industrial environments. Here, the Munich Compact Light Source is presented, which is such a compact synchrotron radiation facility based on an inverse Compton X-ray source (ICS). The recent improvements of the ICS are reported first and then the various experimental techniques which are most suited to the ICS installed at the Technical University of Munich are reviewed. For the latter, a multipurpose X-ray application beamline with two end-stations was designed. The beamline's design and geometry are presented in detail including the different set-ups as well as the available detector options. Application examples of the classes of experiments that can be performed are summarized afterwards. Among them are dynamic in vivo respiratory imaging, propagation-based phase-contrast imaging, grating-based phase-contrast imaging, X-ray microtomography, K-edge subtraction imaging and X-ray spectroscopy. Finally, plans to upgrade the beamline in order to enhance its capabilities are discussed.

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Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization

Cited by 37 publications

References 25 publications

Validation study of small-angle X-ray scattering tensor tomography

Validation study of small-angle X-ray scattering tensor tomography

Design of Acquisition Schemes and Setup Geometry for Anisotropic X-ray Dark-Field Tomography (AXDT)

The versatile X-ray beamline of the Munich Compact Light Source: design, instrumentation and applications

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