Illustration of the reconstruction of the diffuse signal field s = log ρ^(s) and its uncertainty. The top panels show diffuse signal fields. Panel a) shows the original simulation s, panel b) the reconstruction using a MAP approach, and panel c) the reconstruction using a Gibbs approach. The panels d) and e) show the differences between original and reconstruction. Panel f) shows the relative difference. The panels g) and h) show the relative uncertainty of the above reconstructions.