All Figures

$\begin{figure} \par\includegraphics[width=7cm,clip]{3568_fig1.eps} \end{figure}$ Figure 1: a) Extraction of a sub-image ( $196 \times 196$ pixels) of Abell 370 observed with the CFHT. The circle represents the region where the radial arc R must be located. The rectangular box ( $20 \times 28$ pixels) represents the mask used for the comparison of the two images in the case of the arc reconstruction. b) Extraction of a sub-image ( $196 \times 196$ pixels)of Abell 370 image obtained by applying the linear transformation (1) on the HST image. The circle identifies the radial arc R.
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In the text

$\begin{figure} \par\includegraphics[width=5cm,clip]{3568_fig2.eps} \end{figure}$ Figure 2: Normalized PSF of the A370 image. a) Contours Plot. The contours represent successively 100, 80, 60, 40, 20, 10, 5, 3.5, 2.5, 1.5, 0.8, 0.5, 0.2, 0.1 $\%$ of the image maximum. b) 3D representation.
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In the text

$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig3.eps} \end{figure}$ Figure 3: Relative error curve R_k between the CFHT reconstructed image and the HST one as a function of the iteration number for RL. The images used are those of the Fig. 1, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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In the text

$\begin{figure} {\epsfxsize=7cm\epsfbox{3568_fig4.eps}} \end{figure}$ Figure 4: Abell 370 reconstructed image by RL at the 50th iteration. The image used is the one of Fig. 1a, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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In the text

$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig5.eps} \end{figure}$ Figure 5: Relative error curve R_k between the CFHT reconstructed image and the HST one as a function of the iteration number for LBCA. The images used are those of the Fig. 1, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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In the text

$\begin{figure} \par\includegraphics[width=7cm,clip]{3568_fig6.eps} \end{figure}$ Figure 6: Best reconstructed image with LBCA using the HST reference image at the iteration 269.
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In the text

$\begin{figure} \par\includegraphics[width=5cm,clip]{3568_fig7.eps} \end{figure}$ Figure 7: Zoom on the radial arc R. HST image a), raw CFHT image b) and deconvolved CFHT image c).
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In the text

$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig8.eps} \end{figure}$ Figure 8: Relative error curve E_w(k) between the modulus of the FT of the reconstructed image at iteration k (Abs $[\widehat{x}^{(k)} (u,v)]$ ) and the FT of the Wiener reconstructed image (Abs $[\widehat{x}_w(u,v)]$ ).
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In the text

$\begin{figure} \par\includegraphics[width=7cm,clip]{3568_fig9.eps} \end{figure}$ Figure 9: Best reconstructed image with LBCA using a criterion based on the Wiener filter at the 129th iteration.
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In the text

$\begin{figure} \par\includegraphics[width=5cm,clip]{3568_fig2.eps} \end{figure}$	Figure 2: Normalized PSF of the A370 image. a) Contours Plot. The contours represent successively 100, 80, 60, 40, 20, 10, 5, 3.5, 2.5, 1.5, 0.8, 0.5, 0.2, 0.1 $\%$ of the image maximum. b) 3D representation.
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$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig3.eps} \end{figure}$	Figure 3: Relative error curve R_k between the CFHT reconstructed image and the HST one as a function of the iteration number for RL. The images used are those of the Fig. 1, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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$\begin{figure} {\epsfxsize=7cm\epsfbox{3568_fig4.eps}} \end{figure}$	Figure 4: Abell 370 reconstructed image by RL at the 50th iteration. The image used is the one of Fig. 1a, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig5.eps} \end{figure}$	Figure 5: Relative error curve R_k between the CFHT reconstructed image and the HST one as a function of the iteration number for LBCA. The images used are those of the Fig. 1, the PSF is the one of Fig. 2 and the mask used correspond to the rectangular box ( $20 \times 28$ pixels).
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$\begin{figure} \par\includegraphics[width=7cm,clip]{3568_fig6.eps} \end{figure}$	Figure 6: Best reconstructed image with LBCA using the HST reference image at the iteration 269.
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$\begin{figure} \par\includegraphics[width=5cm,clip]{3568_fig7.eps} \end{figure}$	Figure 7: Zoom on the radial arc R. HST image a), raw CFHT image b) and deconvolved CFHT image c).
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$\begin{figure} \par\includegraphics[width=6cm,clip]{3568_fig8.eps} \end{figure}$	Figure 8: Relative error curve E_w(k) between the modulus of the FT of the reconstructed image at iteration k (Abs $[\widehat{x}^{(k)} (u,v)]$ ) and the FT of the Wiener reconstructed image (Abs $[\widehat{x}_w(u,v)]$ ).
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$\begin{figure} \par\includegraphics[width=7cm,clip]{3568_fig9.eps} \end{figure}$	Figure 9: Best reconstructed image with LBCA using a criterion based on the Wiener filter at the 129th iteration.
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