Small-angle x-ray scattering tensor tomography provides three-dimensional information on the unresolved material anisotropic microarchitecture, which can be hundreds of times smaller than an image pixel. We develop a direct filtered back-projection method based on algebraic filters that enables rapid tensor-tomographic reconstructions and is a few orders of magnitude faster compared to established techniques, given the same computational resources. We demonstrate the accuracy of the method on experimental data for a fiber-reinforced material sample. The achieved acceleration may pave the way toward the investigation of multiple large samples as well as rapid control and feedback during in situ tensor-tomographic experiments, opening perspectives for the understanding of the fundamental link between functional material properties and microarchitecture.
Physical Review Applied
MUltiscale, Multimodal and Multidimensional imaging for EngineeRING

Kim, J, Pelt, D.M, Kagias, M, Stampanoni, M, Batenburg, K.J, & Marone, F. (2022). Tomographic reconstruction of the small-angle X-ray scattering tensor with filtered back projection. Physical Review Applied, 18(1). doi:10.1103/PhysRevApplied.18.014043