a) Artificial solar image in the 388 nm band as obtained from MHD simulations and non-grey radiative transport calculations after remapping to the SuFI plate scale; b) MHD image degraded by convolving with the wavefront errors displayed in Fig. 1c and by adding a noise level of 10^-3; c) MHD image degraded with an additional defocus of 0.58 waves; d) PD reconstruction of panels b) and c) for N = 21 and applying a masked pupil. The bold white line around position in panel a) denotes a cut through a bright point discussed in Sect. 4.1 and Fig. 6. The white square marks the detail shown in Fig. 8.