衍射层析成像
反问题
迭代重建
断层摄影术
衍射
逆散射问题
离散化
计算
漫反射光学成像
计算机科学
算法
光学层析成像
非线性系统
领域(数学)
光学
数学
物理
人工智能
数学分析
量子力学
纯数学
作者
Thanh-an Pham,Emmanuel Soubies,Ahmed B. Ayoub,Joowon Lim,Demetri Psaltis,Michaël Unser
出处
期刊:IEEE transactions on computational imaging
日期:2020-01-01
卷期号:6: 727-738
被引量:37
标识
DOI:10.1109/tci.2020.2969070
摘要
A broad class of imaging modalities involve the resolution of an inverse-scattering problem. Among them, three-dimensional optical diffraction tomography (ODT) comes with its own challenges. These include a limited range of views, a large size of the sample with respect to the illumination wavelength, and optical aberrations that are inherent to the system itself. In this work, we present an accurate and efficient implementation of the forward model. It relies on the exact (nonlinear) Lippmann-Schwinger equation. We address several crucial issues such as the discretization of the Green function, the computation of the far field, and the estimation of the incident field. We then deploy this model in a regularized variational-reconstruction framework and show on both simulated and real data that it leads to substantially better reconstructions than the approximate models that are traditionally used in ODT.
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