\begin{table}%t2
\caption{\label{tab2}Figures of merit for the three different noise models with and without preprocessing along  with model reference field and potential field. }
%\centering
 \small \begin{tabular}{lclllccrrrrrr} 
\hline \hline
Model&Preprocessed&$L$&$L_1$&$L_2$&
$\parallel \nabla \cdot {\bf B} \parallel_{\infty}$&
$\parallel {\bf j } \times {\bf B} \parallel_{\infty} $ &
$C_{\rm vec}$&$C_{\rm CS}$&$E_{N}$&$E_{M}$&$\epsilon$ &Steps\\
\hline
Original &&0.029&0.015&0.014&1.180&1.355&   1 &  1 &  0 &  0 &  1 &   \\
Potential &&0.020&0.007&0.014&1.706&1.091&0.736&0.688&0.573&0.535&0.676&   \\
Noise  model~I &No& 22.015 & 8.612 & 13.403 & 25.531 & 11.671 & 0.819 & 0.767 & 0.337 & 0.421 & 0.861 & 1337  \\
Noise  model~I &Yes& 0.105 & 0.066 & 0.039 & 1.746 & 1.806 & 0.951 & 0.947 & 0.197 & 0.105 & 0.964 & 12~191  \\
Noise  model~II &No& 18.957 & 7.915 & 11.042 & 23.089 & 9.871 & 0.828 & 0.774 & 0.321 & 0.417 & 0.869 & 1484  \\
 Noise  model~II &Yes& 0.097 & 0.057 & 0.040 & 1.533 & 1.617 & 0.963 & 0.951 & 0.191 & 0.099 & 0.971 & 11~423  \\
  Noise  model~III &No& 17.718 & 7.615 & 10.103 & 20.763 & 8.992 & 0.859 & 0.781 & 0.310 & 0.402 & 0.873 & 1497  \\
  Noise  model~III &Yes& 0.081 & 0.043 & 0.038 & 1.382 & 1.407 & 0.979 & 0.957 & 0.189 & 0.098 & 0.982 & 10~378  \\
\hline
\end{tabular}
\end{table}