Chou Cheng-Ying, Anastasio Mark A
Department of Bio-Industrial Mechatronics Engineering, National Taiwan University, 1, Sec. 4, Roosevelt Road, Taipei, Taiwan 106, Taiwan.
Opt Express. 2009 Aug 17;17(17):14466-80. doi: 10.1364/oe.17.014466.
Quantitative in-line X-ray phase-contrast imaging methods seek to reconstruct separate images that depict an object's projected absorption and refractive properties. An understanding of the statistical properties of the reconstructed images can facilitate the identification of optimal imaging parameters for specific diagnostic tasks. However, the statistical properties of quantitative X-ray phase-contrast imaging remain largely unexplored. In this work, we derive analytic expressions that describe the second-order statistics of the reconstructed absorption and phase images. Concepts from statistical decision theory are applied to demonstrate how the statistical properties of images corresponding to distinct imaging geometries can influence signal detectability.
定量在线X射线相衬成像方法旨在重建描绘物体投影吸收和折射特性的单独图像。了解重建图像的统计特性有助于为特定诊断任务确定最佳成像参数。然而，定量X射线相衬成像的统计特性在很大程度上仍未得到探索。在这项工作中，我们推导了描述重建吸收和相位图像二阶统计特性的解析表达式。应用统计决策理论的概念来证明与不同成像几何形状相对应的图像统计特性如何影响信号可检测性。
