Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns
Uniqueness theorems for tomographic phase retrieval with few coded diffraction patterns
复制标题
具有少量编码衍射图案的层析相位检索的唯一性定理
DOI：
10.1088/1361-6420/ac77b0
复制
发表时间：
2022
期刊：
影响因子：
2.1
通讯作者：
Fannjiang, Albert
中科院分区：
文献类型：
--
作者：
Fannjiang, Albert
本文研究了在Born近似下，在n× n× n网格上离散目标的三维层析相位恢复问题。它被证明，n个投影是充分的和必要的唯一确定的计算机断层摄影与全投影场测量和n+ 1编码投影衍射图案是足够的唯一确定，直到一个全球的相位因子，在层析相位检索。因此，n+ 1几乎是，如果不是精确的，在玻恩近似下的3D层析相位恢复所需的衍射图案的最小数量。
3D tomographic phase retrieval under the Born approximation for discrete objects supported on a n× n× n grid is analyzed. It is proved that n projections are sufficient and necessary for unique determination by computed tomography with full projected field measurements and that n+ 1 coded projected diffraction patterns are sufficient for unique determination, up to a global phase factor, in tomographic phase retrieval. Hence n+ 1 is nearly, if not exactly, the minimum number of diffractions patterns needed for 3D tomographic phase retrieval under the Born approximation.