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

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