Posterior distributions estimated from our MCMC for a mock observation generated from a smooth model. The green vertical lines in each plot indicate the input parameters used to generate the mock observation maps and the red vertical lines represent the median value from the accepted MCMC samples. The value displayed above each histogram shows the median of the distribution, along with the 1σ (68%) credible region, which is indicated by the dashed vertical lines in every plot. The black line in the two-dimensional distributions encloses the 68% credible region.