Detectability Indices in Anisotropic X-ray Dark-field Tomography

Anisotropic X-ray Dark-field Tomography (AXDT) is a novel imaging modality aimed at the reconstruction of spherical scattering functions in every three-dimensional volume element, based on the directional X-ray dark-field contrast as measured by an X-ray grating interferometer. Using a spherical harmonics discretization, the reconstruction problem boils down to a column-block linear inverse problem. In this work, we derive a detectability index for the AXDT forward model and use it to assess several acquisition schemes. The results show that the detectability index derived here is a vital tool to design and optimize task-specific acquisition schemes for AXDT.     «

Anisotropic X-ray Dark-field Tomography (AXDT) is a novel imaging modality aimed at the reconstruction of spherical scattering functions in every three-dimensional volume element, based on the directional X-ray dark-field contrast as measured by an X-ray grating interferometer. Using a spherical harmonics discretization, the reconstruction problem boils down to a column-block linear inverse problem. In this work, we derive a detectability index for the AXDT forward model and use it to assess sev...     »