title: Anisotropic X-Ray Dark-Field Tomography: A Continuous Model and its Discretization.
abstract: The x-ray dark-field signal measured in grating interferometers is anisotropic, depending on both the beam direction and the grating orientation with respect to the sample. We present a novel general closed-form, continuous forward model of the anisotropic dark-field signal. Furthermore, we derive a discretization using spherical harmonics, leading to a large-scale linear inverse problem. We present first experimental results of a wooden sample, demonstrating marked advantages over previous results, in particular, the resolution of multiple scattering directions in one volume element.
authors: Computer Aided Medical Procedures, Technische Universität München, 85748 Garching, Germany.
authors: M
authors: M
authors: Wieczorek
authors: Lehrstuhl für Biomedizinische Physik, Physik-Department and Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors: F
authors: F
authors: Schaff
authors: Lehrstuhl für Biomedizinische Physik, Physik-Department and Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.|Institut für diagnostische und interventionelle Radiologie, Klinikum rechts der Isar, Technische Universität München, 81675 München, Germany.
authors: F
authors: F
authors: Pfeiffer
authors: Computer Aided Medical Procedures, Technische Universität München, 85748 Garching, Germany.
authors: T
authors: T
authors: Lasser