Fig. 1. Division diagram of each functional module of single-pixel imaging system

Fig. 2. Reconstructed images under different algorithms. The algorithms used in (a)-(f) are the traditional second-order correlation algorithm, the traditional differential correlation algorithm, the calculated differential correlation algorithm, the random binary matrix OMP algorithm, the Hadamard matrix OMP algorithm and the Hadamard matrix TVAL3 algorithm, and the sampling rates are 0.1, 0.3, 0.6 and 1.0

Fig. 3. Image quality evaluation using different reconstruction algorithms at different sampling rates (PSNR, SSIM, TIME)

Fig. 4. Layout of active single-pixel imaging system based on DMD. (a) When there is no scattering medium; (b) When the scattering medium in detection path; (c) When the scattering medium inimaging path

Fig. 5. Comparison of the reconstruction effects of the two algorithms with non-scattering medium. (a) The first image recovered by CGI, and the last four images are recovered by TVAL3, with a sampling rate of 0.4-0.7; (b) PSNR and SSIM comparison of reconstructed image

Fig. 6. Performance of the light beam under the scattering of ground glass. (a)-(b) Intensity distribution comparison of structured light with or without scattering medium; (e) Uniform light passing through the object and scattering medium; The upper of (c1)-(c2) is a photo taken directly, and the below is a picture taken from the observation surface; (c3) Uniform light passing through the object and scattering medium; (d) Uniform light passing through the object

Fig. 7. Reconstructed image of penetrating scattering medium. (a) When the medium in imaging path, using CGI algorithm and TVAL3 algorithm, the latter sampling rate is 1-0.6, its peak signal-to-noise ratio and similarity. Comparison of (a) is in (b); (c) When scattering medium in detection path, and the comparison is in (d)

Fig. 8. Comparison of reconstruction time between CGI algorithm and TVAL3 algorithm in penetrating scattering media imaging

Table 1. Key device parameters in the experiment