Illustration of the reconstruction of the point-like signal field u = log ρ^(u) and its uncertainty. The top panels show the location (markers) and intensity (gray scale) of the point-like photon fluxes, underlaid is the respective diffuse contribution (contours) to guide the eye, cf. Fig 4. Panel a) shows the original simulation, panel b) the reconstruction using a MAP approach, and panel c) the reconstruction using a Gibbs approach. The bottom panelsd) and e) show the match between original and reconstruction in absolute and relative fluxes, the 2σ shot noise interval (gray contour), as well as some reconstruction uncertainty estimate (error bars).