用模型迭代法从锥形射线重建对称物体，减少伪影提升清晰度。
Tomographic Model Based Iterative Reconstruction of Symmetric Objects
- 基于物理模型设计迭代算法，适配任意轴向的锥束成像
- 相比传统方法降噪更优，保留微小结构细节
- 适用于X射线与中子成像，模拟和实验均验证有效
具有柱对称性的物体仅需单个投影即可完成计算机断层扫描（CT）重建。当射线为平行束且对称轴垂直于光轴时，数据可由阿贝尔变换建模，已有多种精确重建方法。然而多数实际CT几何为锥束而非平行束，直接使用阿贝尔方法会导致畸变与伪影。本文提出解析与基于模型的迭代重建（MBIR）方法，实现任意轴向对称物体在锥束几何下的高精度重建。相比解析反演方法，该方法显著降低伪影与噪声，同时保持图像细部特征。我们在模拟及实验获取的X射线和中子投影数据上验证了该方法的有效性。
原文摘要 · Abstract (English)
Computed Tomography (CT) reconstruction of objects with cylindrical symmetry can be performed with a single projection. When the measured rays are parallel, and the axis of symmetry is perpendicular to the optical axis, the data can be modeled with the so-called Abel Transform. The Abel Transform has been extensively studied and many methods exist for accurate reconstruction. However, most CT geometries are cone-beam rather than parallel-beam. Using Abel methods for reconstruction in these cases can lead to distortions and reconstruction artifacts. Here, we develop analytic and model-based iterative reconstruction (MBIR) methods to reconstruct symmetric objects with an arbitrary axis of symmetry from a cone-beam geometry. The MBIR methods demonstrate superior results relative to the analytic inversion methods by mitigating artifacts and reducing noise while retaining fine image features. We demonstrate the efficacy of our methods using simulated and experimentally-acquired x-ray and neutron projections.
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