Tomographic Reconstruction of the Small-Angle X-Ray Scattering Tensor with Filtered Back Projection

Kim, Ji-Soo; Pelt, Daniël M.; Kagias, Matias; Stampanoni, Marco; Batenburg, Kees Joost; Marone, Federica

doi:10.1103/physrevapplied.18.014043

Cited by 7 publications

(1 citation statement)

References 47 publications

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“…In grating-based TT, the reconstruction algorithms rely on a model that includes the experimental broadening of the scattering due to the experimental sensitivity. The reciprocalspace model is a superposition of this function aligned along a number of sensitivity directions, of which commonly there are seven (Malecki et al, 2014;Kim et al, 2022). The function used to model the sensitivity is expressed as a second-order polynomial in the Euclidean coordinates and is equivalent to second-order spherical harmonics or a rank 2 tensor description.…”

Section: Reconstruction Algorithmsmentioning

confidence: 99%

X-ray tensor tomography for small-grained polycrystals with strong texture

Carlsen,

Appel,

Hearn

et al. 2024

J Appl Crystallogr

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Small-angle X-ray tensor tomography and the related wide-angle X-ray tensor tomography are X-ray imaging techniques that tomographically reconstruct the anisotropic scattering density of extended samples. In previous studies, these methods have been used to image samples where the scattering density depends slowly on the direction of scattering, typically modeling the directionality, i.e. the texture, with a spherical harmonics expansion up until order ℓ = 8 or lower. This study investigates the performance of several established algorithms from small-angle X-ray tensor tomography on samples with a faster variation as a function of scattering direction and compares their expected and achieved performance. The various algorithms are tested using wide-angle scattering data from an as-drawn steel wire with known texture to establish the viability of the tensor tomography approach for such samples and to compare the performance of existing algorithms.

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Section: Reconstruction Algorithmsmentioning

confidence: 99%

X-ray tensor tomography for small-grained polycrystals with strong texture

Carlsen,

Appel,

Hearn

et al. 2024

J Appl Crystallogr

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X-ray 3D Fiber Orientation Tomography via Alternating Optimization of Scattering Coefficients and Directions

Mori,

Ohtake,

Yatagawa

et al. 2024

J Nondestruct Eval

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The X-ray Talbot–Lau interferometer (TLI) has been introduced as a device to measure the X-ray interference using an ordinary X-ray source rather than coherent X-ray sources. For nondestructive testing, the advantage of TLI is its capability to obtain darkfield images, where fibers in fiber-reinforced plastics can be distinguished from the matrix. From darkfield images, 3D tomographic reconstruction techniques have been investigated to visualize the distribution of fiber orientations. However, previous approaches assume that X-ray scattering occurs only along the predefined scattering directions that are shared within the entire volume of a test sample. In contrast, a novel technique that we introduce in this paper optimizes the predominant scattering directions independently at each voxel location. The proposed method employs an alternating optimization scheme, where it first calculates the scattering intensities along the scattering directions and then updates these scattering directions, accordingly. Owing to this alternative optimization scheme, our method demonstrates promising performance, particularly when the predominant scattering directions are indeterminate. This advantage of our proposed technique is validated with the sample made of carbon fiber-reinforced plastic (CFRP) and glass fiber-reinforced plastic (GFRP). For these samples, reference fiber orientations are determined in advance using micro-focus CT scanning. To our knowledge, we are the first to optimize both the scattering intensity and scattering directions in reconstructing fiber orientations in industrial-purpose darkfield tomography. The findings presented in this paper potentially contribute to advancing applications in industrial nondestructive testing.

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Recent advances in X-ray grating-based dark-field imaging

Wang

2024

TrAC Trends in Analytical Chemistry

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Tomographic Reconstruction of the Small-Angle X-Ray Scattering Tensor with Filtered Back Projection

Cited by 7 publications

References 47 publications

X-ray tensor tomography for small-grained polycrystals with strong texture

X-ray tensor tomography for small-grained polycrystals with strong texture

X-ray 3D Fiber Orientation Tomography via Alternating Optimization of Scattering Coefficients and Directions

Recent advances in X-ray grating-based dark-field imaging

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