\begin{table}%t1
%\centering
\par
\caption{Means and Pearson correlation coefficient $r_{\rm p}^2$ of the decomposition order $n_{\max}$, the scale size~$\beta$, the flux~$F$, the components of the ellipticity~$\epsilon$,
  and the axis ratio~$r$ of the true shapelet model (denoted by~0) and the reconstruction using the two implementations. $\langle R_{\rm s}\rangle$ is the mean distance in shapelet   space between the true model and the reconstructions (defined in \ref{eq:Rs}). In the last line the mean centroid shift between the model and the reconstruction is given; consider that the IDL implementation iteratively corrects the centroid, whereas the C++ implementation keeps it fixed.}\label{tab:correlation}
\begin{tabular}[t]{cccc}
\hline\hline
 & Model & C++ & IDL \\
\hline
$\langle n_{\max}\rangle$ & 8 & 9.791 & 11.969\\[1mm]
$r_{\rm p}^2(\beta^0,\beta)$ & 1 & 0.984 & 0.949\\[1mm]
$\langle F\rangle$ & 8.478 & 8.478 & 8.406\\[1mm]
$r_{\rm p}^2(F^0,F)$ & 1 & 0.999 & 0.811\\[1mm]
$r_{\rm p}^2(\epsilon_1^0,\epsilon_1)$ & 1 & 0.999 & 0.894\\[1mm]
$r_{\rm p}^2(\epsilon_2^0,\epsilon_2)$ & 1 & 0.999 & 0.976\\[1mm]
$r_{\rm p}^2(r^0,r)$ & 1 & 0.989 & 0.771\\[1mm]
$\langle R_{\rm s}\rangle$ & 0 & 0.025 & 0.040 \\[1mm]
\hline
$\langle |\Delta {\vec x}_{\rm c}|\rangle$ & 0 & 0.580 & 0.549\\
\hline
\end{tabular}
\end{table}