随机散斑图正交优化计算鬼成像

郭辉; 叶知秋

doi:doi:10.3969/j.issn.1007-5461.2023.01.005

量子电子学报, 2023, 40 (1): 48, 网络出版: 2023-03-13

随机散斑图正交优化计算鬼成像

Orthogonal optimization of random speckle patterns for computational ghost imaging

论文大纲

郭辉 ^*叶知秋

作者单位

阜阳师范大学信息工程学院, 安徽阜阳 236037

摘要

为克服随机散斑图照射下统计噪声对计算鬼成像成像质量的影响, 提出了随机散斑图正交优化计算鬼成像方法。首先在计算鬼成像的基础上分析随机散斑图对目标物体重构质量的影响; 然后结合实对称矩阵性质, 通过空间映射矩阵, 将原有随机散斑图正交化; 再利用重构的正交散斑图对未知物体进行照射并由桶探测器测量, 测得的一系列桶探测器值与计算机存储的重构散斑图通过二阶关联运算对目标物体进行重构; 最后参考重构散斑图的协方差矩阵特征, 对重构结果进行补偿, 进一步提升物体重构质量。该方法不仅能有效提升随机散斑图计算鬼成像的成像质量, 同时还具有算法结构简单的特点。仿真实验结果表明: 相比于传统的随机散斑图照射下的计算鬼成像, 该方法能有效地对目标物体进行重建, 并表现出良好的性能。

Abstract

To overcome the influence of statistical noise on the reconstruction quality of computational ghost imaging under the random speckle patterns illumination, a new computational ghost imaging method based on orthogonal optimization of random speckle patterns is proposed. Firstly, the effect of random speckle patterns on the reconstruction quality of the target object is analyzed based on computational ghost imaging. Then, combining the properties of a real symmetric matrix, the original random speckle patterns are orthogonalized by a spatial mapping matrix. Further, the reconstructed orthogonal speckle patterns are used to irradiate the unknown object and the transmitted light is measured by a bucket detector. A series of measured values by bucket detectorand the reconstructed speckle patterns stored in the computer are used to reconstruct the target object through second-order correlation operation. Finally, according to the covariance matrix characteristics of the reconstructed speckle patterns, the reconstruction results are compensated to further improve the reconstruction quality of the object. This method can not only effectively improve the image quality of computational ghost imaging under the action of random speckle patterns, but also has the characteristics of simple algorithm structure. The simulation results show that the method can reconstruct the target effectively and has a good performance compared with the traditional computational ghost imaging under the illumination of random speckle patterns.

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郭辉, 叶知秋. 随机散斑图正交优化计算鬼成像[J]. 量子电子学报, 2023, 40(1): 48. GUO Hui, YE Zhiqiu. Orthogonal optimization of random speckle patterns for computational ghost imaging[J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 48.

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