Computational corrections for anisotropic absorption in tensor tomography

In X-ray scattering tensor tomography at large scattering angles, the absorption of scattered X-rays by the sample itself is anisotropic due to the macroscopic geometry of the sample. This effect is mostly ignored or only treated approximately in established reconstruction algorithms. In this paper we perform a simulation study to estimate the severity of the problem and suggest and test a computational approach to correct for this effect. We also investigate experimental scattering data from hydroxyapatite scattering from a piece of beaver tooth where the same trends from the simulations can be observed. We conclude that the conventional approach to transmission correction yields good results at scattering angles and levels of absorption normally used.