基于Bootstrap方法的鬼成像系统图像信息重构不确定度估计  

Uncertainty Estimation for Image Information Reconstruction in Ghost Imaging System Based on Bootstrap Method

作　　者：朱凯旋 胡晨昱 喻虹[1,3] 韩申生 Zhu Kaixuan;Hu Chenyu;Yu Hong;Han Shensheng(Key Laboratory of Quantum Optics,Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,Shanghai 201800,China;Center of Materials Science and Optoelectronics Engineering,University of Chinese Academy of Sciences,Beijing 100049,China;School of Physics and Optoelectronic Engineering,Hangzhou Institute for Advanced Study,University of Chinese Academy of Sciences,Hangzhou 310024,Zhejiang,China)

机构地区：[1]中国科学院上海光学精密机械研究所量子光学重点实验室,上海201800 [2]中国科学院大学材料与光电研究中心,北京100049 [3]中国科学院大学杭州高等研究院物理与光电工程学院,浙江杭州310024

出　　处：《光学学报》2023年第9期97-106,共10页Acta Optica Sinica

基　　金：国家自然科学基金(11627811)。

摘　　要：提出使用统计分析中的Bootstrap方法对鬼成像中图像信息重构的不确定度进行估计。仿真结果表明,Bootstrap方法估计的标准误差分布图与强度关联重构的标准误差理论计算结果一致;用标准Bootstrap方法估计的标准误差和置信区间分布能够很好地解释压缩感知算法得到的重构结果误差,并且使用相应的Bootstrap方法的变种能够更为准确地描述从原始样本中重构图像信息的偏差和绝对误差。所提方案适用于估计无真实参考图像的实际应用场景的重构图像的不确定度。Objective A ghost imaging(GI)system,as a new-type imaging system different from traditional imaging systems,has gained much attention and shown its imaging capabilities in related fields.GI is an imaging mode that requires computational reconstruction to obtain image information.For this type of imaging mode,the uncertainty of the retrieved image information cannot be obtained by direct measurement and is related to the specific reconstruction algorithm.Therefore,relevant research on error uncertainty analysis is required.Existing studies mostly give reconstruction error distributions corresponding to the intensity correlation algorithms.For algorithms of other types,it is hard to obtain a theoretical result since there is no explicit formula for the reconstructed information,and studies on related estimation methods have not been reported.Although there are some theoretical results about the reconstruction error of compressed sensing(CS)algorithms,they cannot be directly applied to the uncertainty estimation of GI,since there are differences between the speckle patterns in GI and the measurement matrix used in the CS theoretical derivation.In this study,we use the Bootstrap method to estimate the uncertainty of image information reconstruction.Bootstrap technology can effectively give the uncertainty estimation map of the entire reconstructed image in practical imaging scenarios where the theoretical expression cannot be given,and there is no original image for reference.It is expected that the proposed method can contribute to estimating the uncertainty map of image reconstruction with different reconstruction algorithms in practical GI systems.Methods In GI,detection signals{It i}in the object arm and{Ir i(rr)}in the reference arm are used together to retrieve the image information T(rr).There are various reconstruction algorithms,and they can be all expressed as Eq.(1).In this study,the uncertainty of the reconstructed T(rr)is estimated,and the Bootstrap method is applied.The Bootstrap method is a technique i

关 键 词：成像系统 鬼成像 图像重构 非参数Bootstrap方法 不确定度 

分 类 号：O436[机械工程—光学工程] O213[理学—光学]