Fig. 1. Experimental results of imaging through scattering medium. (a) Single-frame point source speckle (regarding it as point spread function); (b) reconstructed fringes of object plane; (c) reconstructed deformation fringe modulated by surface shape of the object; (d) three-dimensional information of the object obtained by performing Fourier transform profilometry (FTP); (e) accumulated average point spread function (PSF) of system; (f)(g) recovered object plane fringes and surface shape fringes of the object by deconvolution operation; (h) recovered three-dimensional information of the object

Fig. 2. Structural diagram of experimental setup

Fig. 3. Experimental flow chart. (a) Speckles of multiple point light sources and background; (b) speckles of point source and background after cumulative average; (c) background-removed PSF; (d) speckles of deformed fringe pattern and uniform grayscale pattern; (e) background-removed speckle patterns; (f) reconstructed object; (g) fringe removing zero-frequency; (h) normalized three-dimensional phase distribution

Fig. 4. Peak signal-to-noise (PSNR) and structural similarity（SSIM）of retrieved fringe under different cumulative averages.（a）PSNR；（b）SSIM

Fig. 5. Three-dimensional reconstruction of objects. (a) A hemisphere to be imaged; (b) speckle pattern of deformed fringe; (c) deformed fringe pattern retrived from deconvolution; (d) three-dimensional information of the hemisphere obtained by performing FTP; (e) DuPont line to be imaged; (f) speckle pattern of deformed fringe; (g) deformed fringe pattern retrived from deconvolution; (h) three-dimensional information of DuPont line obtained by performing FTP