Scatter simulation and correction in computed tomography: A reconstruction-integrated approach modelling the forward projection

Scattered photons lower the quality of the reconstructed images in computed tomography. Additionally to scattering in the scintillator material that lowers the resolution, object-scattered photons cause artefacts due to non-linear absorption and are difficult to simulate. In the context of model-based reconstruction we developed a fast approximation for scattered radiation that is integrated in the forward projection of an iterative polychromatic reconstruction method. We develop the modelling of scattered intensities in an iterative maximum-likelihood reconstruction method, demonstrate a comparison with Monte-Carlo simulated scatter-data and show the result of reconstructed data within the field of industrial non-destructive testing.