On Computed Tomography in Talbot-Lau X-Ray Interferometry

Abstract: Talbout-Lau X-ray grating interferometry applied within a polychromatic setup suffers from additional artifacts compared to conventional attenuation imaging. Among those are beam hardening and dispersion effects due to the complex coupling of different physical effects involved in the image formation process. In computed tomography these effects lead to image degradation such as cupping and streak artifacts, hampering diagnostic use.

This thesis seeks to reduce these artifacts in an iterative reconstruction framework. To this purpose, we define a model of the polychromatic forward projection that includes prior knowledge about the physical setup. Using this model we derive a maximum likelihood algorithm for simultaneous reconstruction of the attenuation, phase and scatter images.

In our experiments on a synthetic ground-truth phantom, we compare filtered back projection reconstruction with the proposed approach. The proposed method considerably reduces strong beam hardening artifacts in the phase images, and almost completely removes these artefacts in the absorption and scatter images. Reconstruction with real data has not been successful because the proposed model does not reproduce the measured reality. Further research is required to resolve this discrepancy.

Furthermore, an optimized reconstruction algorithm for grating based tomography is proposed. Last, an in-depth analysis of an iterative reconstruction framework for Talbot-Lau imaging data is provided.