\begin{table}%t2 \caption {\label{Tab:artstat}Results of Monte Carlo modeling of background plus one star (100~tries) as shown in Fig.~\ref{Fig:artim}.} %\centerline {\begin{tabular}[htb]{llllllllll} \hline\hline & $x^{{a}}$ & $\sigma_{x,\rm formal}^{{b}}$ & $\sigma_{x,\rm true}^{{c}}$ & $y^{{d}}$ & $\sigma_{y,\rm formal}^{{\rm e}}$ & $\sigma_{y,\rm true}^{{f}}$ & $f^{{g}}$ & $\sigma_{f,\rm formal}^{{h}}$ & $\sigma_{f,\rm true}^{{i}}$ \\ & [pix] & [pix] & [pix] & [pix] & [pix] & [pix] & [counts] & [counts] & [counts]\\ \hline raw & 75.670 & 0.009 & 0.009 & 75.109 & 0.008 & 0.009 & 1000 & 4 &4\\ deconvolved & 75.670 & 0.003 & 0.011 & 75.108 & 0.003 & 0.010 & 1000& 2 & 7 \\ \hline \end{tabular}} \par \smallskip $^{{a}}$ Measured position of the star on the $X$-axis (model position $x=75.670$) $^{{b}}$ $1\sigma$ uncertainty of measured $x$ given by the PSF fitting algorithm (average of the uncertainties of all the tries) $^{{c}}$ $1\sigma$ uncertainty of measured $x$ as given by the standard deviation of the individual measurements $^{{d}}$~Measured position of the star on the $Y$-axis (model position $x=75.110$) $^{{e}}$ $1\sigma$ uncertainty of measured $y$ given by the PSF fitting algorithm (average of the uncertainties of all the tries) $^{{f}}$ $1\sigma$ uncertainty of measured $y$ as given by the standard deviation of the individual measurements $^{{g}}$~Measured flux of the star (input flux $f=1000.0$) $^{{h}}$ $1\sigma$ uncertainty of measured $f$ given by the PSF fitting algorithm (average of the uncertainties of all the tries) $^{{i}}$ $1\sigma$ uncertainty of measured $f$ as given by the standard deviation of the individual measurements. \end{table}