Here we introduce a new reconstruction technique for two-dimensional Bragg Scattering Tomography (BST), based on the Radon transform models of [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 artifacts; specifically the boundary artifacts due to sharp cutoff in sinogram space (as observed in [arXiv preprint, arXiv:2007.00208 (2020)]), and artifacts arising from approximations made in constructing the model used for inversion. We then test our algorithm in a variety of Monte Carlo (MC) simulated examples of practical interest in airport baggage screening and threat detection. The data used in our studies is generated with a novel Monte-Carlo code presented here. The model, which is available from the authors upon request, captures both the Bragg scatter effects described by BST as well as beam attenuation and Compton scatter.

翻译：在此,我们根据[arXiv print:2004.10961 (202020年) 的雷达变形模型,为二维布拉格散射成形法采用了一种新的重建技术。我们的方法结合了多望控制和微地分析的想法,以构建一个客观的功能,使BST的文物正规化;具体地说,由于罪恶空间锐减(见[arXiv printprint:arXiv:2007.00208 (202020)所观测到的)而导致的边界文物,以及在建造用于倒置的模型时产生的近似产生的文物。我们随后在各种蒙特卡洛(Monte Carlo)模拟的实例中测试了我们对机场行李检查和威胁探测的实际兴趣。我们研究中所使用的数据是用在这里介绍的一部新颖的蒙特-Carlo代码生成的。该模型可以应要求从作者处获得,既捕捉Bragg 散射效应,也捕捉到BST am attenation 和Compton 散射。