傅里叶单像素成像采样方法对比分析研究  

Comparative analysis of sampling methods for Fourier single⁃pixel imaging

作　　者：肖振坤 魏文卿 邓琥[1,2] 郭进[1] XIAO Zhenkun;WEI Wenqing;DENG Hu;GUO Jin(School of Information Engineering,Southwest University of Science and Technology,Mianyang 621010,China;Tianfu Institute of Research and Innovation,Southwest University of Science and Technology,Chengdu 610299,China)

机构地区：[1]西南科技大学信息工程学院,四川绵阳621010 [2]西南科技大学四川天府新区创新研究院,四川成都610299

出　　处：《量子电子学报》2025年第2期165-176,共12页Chinese Journal of Quantum Electronics

基　　金：四川省科技厅重点研发项目(2023YFG0224)。

摘　　要：傅里叶单像素成像技术是一种兼具高成像质量和高成像效率的单像素成像技术。在利用该技术时,针对不同特征图像,采用高效的采样方法对于图像重构质量的提升至关重要。本文分析了现有傅里叶单像素成像常用的三种采样方法(圆形采样、高斯变密度采样以及自适应采样)的实现原理及过程,以最优采样为参考,仿真对比了四种采样方法在不同采样率下的重建图像质量,重点分析了各自在处理不同特征图像时的优势与不足。结果表明,对于具有不同频谱能量分布特征的图像,四种采样方法表现出不同的重建图像峰值信噪比,具有各自不同的最优适用对象。该结果将为面对不同特征图像时如何高效选择最佳采样方法提供重要参考。Fourier single-pixel imaging technology is one sort of single-pixel imaging technology that provides both outstanding image quality and high imaging efficiency.When utilizing this technology,an efficient sampling approach is crucial to enhance the reconstruction quality for images with various attributes.In this work,the implementation principles and processes of three commonly used sampling methods for Fourier single-pixel imaging,namely circular sampling,Gaussian random sampling,and adaptive sampling,are studied.Taking optimal sampling as a reference,the quality of reconstructed images of the four sampling methods at various sample rate is simulated and compared,with a focus on the benefits and drawbacks of the four sampling techniques in processing images with various attributes.The results demonstrate that for images with various spectral energy distribution characteristics,the four sampling methods exhibit distinct peak signal-to-noise ratios in reconstructed images,and each sampling method has its own optimal applicability.This result will provide important reference for how to efficiently select the best sampling method to reconstruct the images with various attributes.

关 键 词：图像与信息处理 傅里叶单像素成像 圆形采样 高斯变密度采样 自适应采样 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]