单像素成像及其概率统计分析综述  

Review on Single-Pixel Imaging and Its Probability Statistical Analysis

作　　者：肖许意 陈刘雅 张学智 王聊 兰瑞君 任承[1] 曹德忠[1] Xiao Xuyi;Chen Liuya;Zhang Xuezhi;Wang Chong;Lan Ruijun;Ren Cheng;Cao Dezhong(School of Opto-Electronic Information Science and Technology,Yan tai Unirersity,Yantai,Shandong 264005,China)

机构地区：[1]烟台大学光电信息科学技术学院,山东烟台264005

出　　处：《激光与光电子学进展》2021年第10期230-241,共12页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(11674273)。

摘　　要：单像素成像的图像复原依赖于单像素接收信号和调制光源的关联,包括计算鬼成像和压缩感知成像两种方案。其中,计算鬼成像利用光源和单像素信号之间的高阶强度关联函数复原图像,而压缩感知成像采用优化压缩感知算法复原图像。单像素成像实验采用的光源种类繁多,既包括热光、X射线、电子、中子、单光子源等物理光.源,也包括由空间光调制器和数字微镜等系统调制的人工光源。这些光源遵从不同的统计概率分布,照明物体的光场强度可看作统计独立的连续或离散随机变量,也被称为参考信号。单像素信号是所有参考信号的线性组合,根据光源的统计性质确定了参考信号与单像素信号之间的联合统计概率分布。此外,还研究了参考信号概率分布函数对关联鬼成像图像质量的影响,为单像素成像提供了物理和统计理论基础。The image restoration of single pixel imaging relies on the connection between the received signal and the modulated light source,including computational ghost imaging and compressed sensing imaging.Computational ghost imaging uses a high-order intensity correlation function between the light source and the single-pixel signal to restore the image,while compressed sensing imaging uses an optimized compressed sensing algorithm to restore the image.Typically,single pixel imaging experiments use a wide variety of light sources,including physical light sources,such as thermal light,X-rays,electrons,neutrons,and single photon sources,and artificial light sources modulated by spatial light modulators and digital micromirror systems.These light sources follow different statistical probability distributions,and the light field intensity of the illuminated object can be considered as a statistically independent continuous or discrete random variable,also known as a reference signal.The single pixel signal is a linear combination of all reference signals.The joint statistical probability distribution between the reference signal and the single pixel signal is determined according to the statistical properties of the light source.In addition,we investigate the effects of the probability distribution functions on the image quality,providing theoretical bases of physics and statistics for single pixel imaging.

关 键 词：图像处理 单像素成像 鬼成像 密度分布函数 可见度 信噪比 

分 类 号：O436[机械工程—光学工程]