The reconstruction methods, which are based on compressed sensing (CS), make it possible to record and reconstruct information basing on its sparse or compressed representation. In this work, we study resistance of CS-based single-pixel imaging to partial loss of the intensity of the recorded radiation from an object with a limited area of the detector. The problem was solved experimentally by implementing the so-called single-pixel camera, as well as detecting optical radiation from the object and reconstructing its image with the use of CS methods. The method resistance to spatial radiation losses is estimated as a function of the size and shape of the detector aperture. The quality of image reconstruction depending on the two following factors is assessed: the fraction of the intensity of the detected radiation and the quantity of single-pixel detections. The results can ensure significantly wider application of the method to reconstruct data, both detected in dynamic and scattering media (including the introduction of various apertures and Fourier filtering) and in the case of significant spatial radiation losses.

基于压缩感知 (CS) 的重建方法使得基于其稀疏或压缩表示记录和重建信息成为可能。在这项工作中，我们研究了基于 CS 的单像素成像对探测器区域有限的物体所记录辐射强度的部分损失的抵抗力。通过实施所谓的单像素相机，以及检测来自物体的光辐射并使用 CS 方法重建其图像，通过实验解决了该问题。该方法对空间辐射损失的抵抗力被估计为探测器孔径的大小和形状的函数。根据以下两个因素评估图像重建的质量：检测到的辐射强度的分数和单像素检测的数量。结果可以确保该方法在重建数据方面得到更广泛的应用，无论是在动态和散射介质中检测到的（包括引入各种孔径和傅立叶滤波），还是在空间辐射损失显着的情况下。