Anastasio M A, Pan X
Department of Radiology, The University of Chicago, Illinois 60637, USA.
J Opt Soc Am A Opt Image Sci Vis. 2000 Mar;17(3):391-400. doi: 10.1364/josaa.17.000391.
Diffraction tomography (DT) is an inversion scheme used to reconstruct the spatially variant refractive-index distribution of a scattering object. We developed computationally efficient algorithms for image reconstruction in three-dimensional (3D) DT. A unique and important aspect of these algorithms is that they involve only a series of two-dimensional reconstructions and thus greatly reduce the prohibitively large computational load required by conventional 3D reconstruction algorithms. We also investigated the noise characteristics of these algorithms and developed strategies that exploit the statistically complementary information inherent in the measured data to achieve a bias-free reduction of the reconstructed image variance. We performed numerical studies that corroborate our theoretical assertions.
衍射层析成像（DT）是一种用于重建散射物体空间变化折射率分布的反演方法。我们开发了用于三维（3D）DT图像重建的高效计算算法。这些算法的一个独特且重要的方面是，它们仅涉及一系列二维重建，从而大大减少了传统3D重建算法所需的极大计算量。我们还研究了这些算法的噪声特性，并开发了利用测量数据中固有的统计互补信息的策略，以实现无偏差地降低重建图像方差。我们进行了数值研究，证实了我们的理论断言。
