频域自适应降采样的傅里叶单像素成像  

Fourier Single-Pixel Imaging Based on Adaptive Down-Sampling in Frequency Domain

作　　者：开静 翟爱平 赵文静 王东 Kai Jing;Zhai Aiping;Zhao Wenjing;Wang Dong(College of Physics and Optoelectronics,Taiyuan University of Technology,Taiyuan 030024,Shanxi,China;Key Laboratory of Advanced Transducers and Intelligent Control Systems,Ministry of Education,Taiyuan University of Technology,Taiyuan 030024,Shanxi,China)

机构地区：[1]太原理工大学物理与光电工程学院,山西太原030024 [2]太原理工大学新型传感器与智能控制教育部重点实验室,山西太原030024

出　　处：《激光与光电子学进展》2023年第2期196-204,共9页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(61805167);山西省回国留学人员科研资助项目(SSCC2021)。

摘　　要：单像素成像技术突破了传统成像中探测器与目标物体之间存在遮挡物无法成像的限制,具有系统简单、成本低廉、宽谱成像等优点,在成像领域迅速获得关注并得到逐步发展。然而,由于其使用无空间分辨率的单点探测器,完美成像需对场景进行与图像像素数量级相当的测量。因此,如何在保证一定成像质量的前提下,大幅度提升其成像速度,成为单像素成像技术走向应用的关键问题之一。为此提出了一种基于变换域自适应降采样的傅里叶单像素成像方法。该方法利用傅里叶变换频谱能量集中的特点,在频域合理规划采样路径;然后,沿规划路径测量谱系数,计算每段采样路径的谱系数方差,并在线进行曲线拟合,当曲线斜率达到人为设定的误差带(或趋近于0)时,采样测量自动停止;最后,对采样测量获得的谱系数矩阵实施傅里叶逆变换重建目标图像。提出方法大幅提高了成像效率。Traditional imaging technology requires that there must be no obstacles between the detector and object.Single-pixel imaging technology does not have this requirement.Due to the various advantages of single-pixel imaging,such as easy construction of the physical system,low cost,and wide spectrum imaging,it has quickly gained significant attention and development in the imaging field.However,single-pixel imaging uses a single-point detector,which requires measurements equal to the pixel number of the target object to obtain a relatively perfect imaging quality.As a result,how to balance the imaging quality and the imaging speed has become not only a technical challenge but also a meaningful task.An adaptive sampling method based on Fourier transform single-pixel imaging is proposed to solve this problem.This method takes advantage of the characteristics of Fourier transform spectrum energy concentration to reasonably plan the sampling path in the frequency domain.Then it measures the spectral coefficient along the planned path,calculates the variance of the spectral coefficient of each sampling path,and performs curve fitting online.When the slope of the curve reaches a range small enough(or close to 0),it will automatically stop sampling and perform an inverse Fourier transform to realize image reconstruction.Thus,the proposed method greatly improves imaging efficiency.

关 键 词：成像系统 单像素成像 自适应采样 降采样 傅里叶变换 

分 类 号：TP399[自动化与计算机技术—计算机应用技术]