Here we introduce a new reconstruction technique for two-dimensional Bragg Scattering Tomography (BST), based on the Radon transform models of (Webber, James W., and Eric L. Miller. "Bragg scattering tomography." arXiv preprint arXiv:2004.10961, 2020). Our method uses a combination of ideas from multibang control and microlocal analysis to construct an objective function which can regularize the BST artefacts, e.g., the boundary artefacts due to sharp cutoff in sinogram space, as observed in (Webber, James W., and Eric Todd Quinto. "Microlocal analysis of generalized Radon transforms from scattering tomography." arXiv preprint arXiv:2007.00208, 2020), and errors due to attenuation and Compton noise. We then go on to test our algorithm in a variety of Monte Carlo (MC) simulated examples of practical interest in airport baggage screening and threat detection.
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