All Figures

$\begin{figure} \includegraphics[width=6cm,height=6cm]{8454fg1a.eps}\includegrap... ...454fg1h.eps}\includegraphics[width=6cm,height=6cm]{8454fg1i.eps}\\ \end{figure}$ Figure 1: Top row: magnetogram derived from the Low & Lou test field. From left to right the three components B_x, B_y, B_z are shown. Middle row: the same magnetogram as in the first row, but with noise added (for details see the main text). Bottom row: magnetogram resulting from preprocessing of the disturbed magnetogram shown in the second row.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=6cm,height=6cm]{8454fg2a.eps}\includeg... ...m]{8454fg2b.eps}\includegraphics[width=6cm,height=6cm]{8454fg2c.eps}\end{figure}$ Figure 2: Evolution of the total functional L ( left) and of the subfunctionals L₁₂ ( center) and L₄ ( right) in the course of the minimization on a logarithmic scale. All three quantities are normalized to their initial values.
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=6cm,height=6cm]{8454fg3a.eps}\includeg... ...m]{8454fg3b.eps}\includegraphics[width=6cm,height=6cm]{8454fg3c.eps}\end{figure}$ Figure 3: Contours of the function $\alpha (x,y,z=0)$ for the undisturbed magnetogram ( left; magnetogram shown in top row of Fig. 1), the disturbed magnetogram ( center; magnetogram shown in middle row of Fig. 1) and the preprocessed magnetogram ( right; magnetogram shown in bottom row of Fig. 1).
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=7.1cm,clip]{8454fig4.eps}\end{figure}$ Figure 4: Figures of merit $C_{{\rm vec}}$ , $C_{{\rm CS}}$ , $E_{{\rm n}}'$ , $E_{{\rm m}}'$ and $\varepsilon$ (from left to right) for three-dimensional fields extrapolated from the original magnetogram with the exact field values of the Low & Lou solution (blue; magnetogram shown in top row of Fig. 1), the disturbed magnetogram (green; magnetogram shown in middle row of Fig. 1) and the preprocessed magnetogram (red; magnetogram shown in bottom row of Fig. 1).
Open with DEXTER

In the text

$\begin{figure} \par\includegraphics[width=7.4cm,clip]{8454fig5.eps}\end{figure}$ Figure 5: Dependence of the final values of L₁₂, L₄ and L₁₂+L₄ on the parameter ${\mu _4}$ on a doubly logarithmic scale. The values were calculated by applying the minimization procedure for L to the noisy magnetogram (shown in middle row of Fig. 1) generated from the Lou & Lou test solution.
Open with DEXTER

In the text

$\begin{figure} \includegraphics[width=6cm,height=6cm]{8454fg1a.eps}\includegrap... ...454fg1h.eps}\includegraphics[width=6cm,height=6cm]{8454fg1i.eps}\\ \end{figure}$	Figure 1: Top row: magnetogram derived from the Low & Lou test field. From left to right the three components B_x, B_y, B_z are shown. Middle row: the same magnetogram as in the first row, but with noise added (for details see the main text). Bottom row: magnetogram resulting from preprocessing of the disturbed magnetogram shown in the second row.
Open with DEXTER

$\begin{figure} \par\includegraphics[width=6cm,height=6cm]{8454fg2a.eps}\includeg... ...m]{8454fg2b.eps}\includegraphics[width=6cm,height=6cm]{8454fg2c.eps}\end{figure}$	Figure 2: Evolution of the total functional L ( left) and of the subfunctionals L₁₂ ( center) and L₄ ( right) in the course of the minimization on a logarithmic scale. All three quantities are normalized to their initial values.
Open with DEXTER

$\begin{figure} \par\includegraphics[width=6cm,height=6cm]{8454fg3a.eps}\includeg... ...m]{8454fg3b.eps}\includegraphics[width=6cm,height=6cm]{8454fg3c.eps}\end{figure}$	Figure 3: Contours of the function $\alpha (x,y,z=0)$ for the undisturbed magnetogram ( left; magnetogram shown in top row of Fig. 1), the disturbed magnetogram ( center; magnetogram shown in middle row of Fig. 1) and the preprocessed magnetogram ( right; magnetogram shown in bottom row of Fig. 1).
Open with DEXTER

$\begin{figure} \par\includegraphics[width=7.4cm,clip]{8454fig5.eps}\end{figure}$	Figure 5: Dependence of the final values of L₁₂, L₄ and L₁₂+L₄ on the parameter ${\mu _4}$ on a doubly logarithmic scale. The values were calculated by applying the minimization procedure for L to the noisy magnetogram (shown in middle row of Fig. 1) generated from the Lou & Lou test solution.
Open with DEXTER