The likelihood function ﹩P({\widehat{D}}_{T}\,| \,| | {\rm{\Delta }}| | ,\theta ,{\alpha }_{r}-{\alpha }_{n},{\alpha }_{r}+{\alpha }_{n})﹩, similar to Figure 8 and similarly evaluated for simulation 8 (where the translation is small compared to the PSF) but using a different set of variables to display the same distribution. One can see that this change of variables largely decouples most (though not all) of the parameters, leaving a clear dependence between ∣∣Δ∣∣ and α _r + α _n .