Fig. 3: Theoretical analysis of the trade-off between the imaging speed and resolution below the diffraction limit.

a Fidelity of the super-resolution compressive endo-microscopy as a function of the total number of pixels in the FOV (Np) and the total number of measurements (Nm) for a sample with a feature size of 480 nm. The white dashed line shows that the Nm needed for sub-diffraction imaging is linearly proportional to Np. The recorded images of the sample for Np = 8100 (white dotted line) are presented in Supplementary Movie 2 as a function of the number of measurements. b–d Results of the compressive endo-microscopy simulated by using experimentally measured and low-pass-filtered speckle patterns on the MM fibre output and in the presence of shot noise for the sample with Np = 6400: b Nm = 100; c Nm = 160; and d Nm = 250. e Cross-sectional plots along the dashed lines in b, c, and d are represented by the blue, red, and green lines, respectively. The filled yellow area represents a cross-section of a conventional diffraction-limited image