Evolution of the on-sky PSF before running the algorithm, after the first iteration, and the after last iteration. Each image is 0.25 arcsec (40 × 40 pixels) across, acquired at λ = 750 nm, 30 s exposure time (computed by co-addition of 15 000 frames acquired at 500 Hz). Those PSFs should be compared to the ideal PSF in Fig. 5, with matching wavelength, field of view and orientation of Fig. 6 shown in logarithmic brightness scale.