论文标题
能量分辨X射线成像的联合重建和LAMBDA层析成像正规化技术
A joint reconstruction and lambda tomography regularization technique for energy-resolved X-ray imaging
论文作者
论文摘要
在这里，我们提出了灵感来自微局部分析和Lambda断层扫描中启发的新的关节重建技术，以同时重建衰减系数和X射线传输（即X射线CT）和反向散射数据（假定为散射的均匀散射）的衰减系数和电子密度。为了证明我们的理论和重建方法，我们考虑了Webber and Miller的“平行线段”的采集几何学（“转化几何形状中的Compton散射层析成像”。“逆问题36，第2期（2020）：025007），这是由目前正在开发机场安全筛查的系统架构激励的。我们首先提出了平行线几何形状的新型微局部分析，该分析解释了衰减系数和电子密度分别重建时图像伪像的性质。接下来，我们引入了一种针对低效$ z $（原子数）成像（$ z <20 $）的新的联合重建方案，其特征是正则化策略，其结构源自Lambda断层扫描原理，并直接以微局部分析结果激励。最后，我们展示了我们方法在模拟幻影上打击噪声和图像伪影的有效性。
Here we present new joint reconstruction and regularization techniques inspired by ideas in microlocal analysis and lambda tomography, for the simultaneous reconstruction of the attenuation coefficient and electron density from X-ray transmission (i.e., X-ray CT) and backscattered data (assumed to be primarily Compton scattered). To demonstrate our theory and reconstruction methods, we consider the "parallel line segment" acquisition geometry of Webber and Miller ("Compton scattering tomography in translational geometries." Inverse Problems 36, no. 2 (2020): 025007), which is motivated by system architectures currently under development for airport security screening. We first present a novel microlocal analysis of the parallel line geometry which explains the nature of image artefacts when the attenuation coefficient and electron density are reconstructed separately. We next introduce a new joint reconstruction scheme for low effective $Z$ (atomic number) imaging ($Z<20$) characterized by a regularization strategy whose structure is derived from lambda tomography principles and motivated directly by the microlocal analytic results. Finally we show the effectiveness of our method in combating noise and image artefacts on simulated phantoms.
