# LaTeX2HTML 2012 (1.2)
# Associate images original text with physical files.


$key = q/{displaymath}W=exp{ensuremath{displaystyleleft{-frac{ensuremath{displaystyleleft(u^2+v^2right)}}{t^2}right}}{,{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="197" HEIGHT="66" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\begin{displaymath}
W = \exp\ensuremath{\displaystyle\left\{ -\frac{\ensuremath{\displaystyle\left( u^2+v^2 \right) }}{t^2} \right\}},
\end{displaymath}">|; 

$key = q/gammasimeq0.1-0.2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="104" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$
\gamma \simeq 0.1 - 0.2$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{meas}}{^{ensuremath{mathrm{sd}}{=B_{ensuremathathrm{sd}}{starI_{ensuremath{mathrm{source}}{+N,{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="31" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{meas}}^\ensuremath{\mathrm{sd}} = B_\ensuremath{\mathrm{sd}} \star I_\ensuremath{\mathrm{source}} + N,
\end{displaymath}">|; 

$key = q/gamma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="$\gamma$">|; 

$key = q/{displaymath}N(alpha,delta)=frac{sumnolimits_ifrac{B_i(alpha,delta)}{sigma_i^2},mnolimits_ifrac{B_i(alpha,delta)^2}{sigma_i^2}},{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="200" HEIGHT="89" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="\begin{displaymath}
N(\alpha,\delta) = \frac{\sum\nolimits_i \frac{B_i(\alpha...
...)}
{\sum\nolimits_i \frac{B_i(\alpha,\delta)^2}{\sigma_i^2}},
\end{displaymath}">|; 

$key = q/W;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$W$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{S.Vright}}{.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ S.V \right\}}.
\end{displaymath}">|; 

$key = q/M(alpha,beta)slashsigma(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="129" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="$M(\alpha,\beta)/\sigma(\alpha,\beta)$">|; 

$key = q/u;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="$u$">|; 

$key = q/{displaymath}sigma(alpha,delta)=<comment_mark>52frac{sqrt{sumnolimits_ifrac{B_i(mnolimits_ifrac{B_i(alpha,delta)^2}{sigma_i^2}}}{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="279" HEIGHT="100" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="\begin{displaymath}
\sigma(\alpha,\delta) = %
\frac{\sqrt{\sum\nolimits_i \f...
...sqrt{\sum\nolimits_i \frac{B_i(\alpha,\delta)^2}{\sigma_i^2}}}
\end{displaymath}">|; 

$key = q/I_{ensuremath{mathrm{source}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="$I_\ensuremath{\mathrm{source}}$">|; 

$key = q/D=30;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$D = 30$">|; 

$key = q/f;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$f$">|; 

$key = q/F;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$F$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{clean}}{^{ensuremath{mathrm{int}}{=B_{ensuremam{clean}}{starI_{ensuremath{mathrm{source}}{+N',{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="214" HEIGHT="31" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{clean}}^\ensuremath{\mathrm{int}} = B...
...h{\mathrm{clean}} \star I_\ensuremath{\mathrm{source}} + N',
\end{displaymath}">|; 

$key = q/B=1slashr^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$B = 1/r^2$">|; 

$key = q/Dged;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$D \ge d$">|; 

$key = q/W=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="55" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$W = 1$">|; 

$key = q/D=d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="52" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$D = d$">|; 

$key = q/I_{ensuremath{mathrm{meas}}{^{ensuremath{mathrm{int}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$I_\ensuremath{\mathrm{meas}}^\ensuremath{\mathrm{int}}$">|; 

$key = q/N=34;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$N=34$">|; 

$key = q/{displaymath}V(u,v)=mbox{FT}{ensuremath{displaystyleleft{B_ensuremath{mathrm{priry}}.I_ensuremath{mathrm{source}}right}}{(u,v)+N{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="312" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="\begin{displaymath}
V(u,v) = \mbox{FT}\ensuremath{\displaystyle\left\{ B_\ensur...
...thrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}(u,v)+N
\end{displaymath}">|; 

$key = q/mbox{FT}{ensuremath{displaystyleleft{Fright}}{(f);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="$\mbox{FT}\ensuremath{\displaystyle\left\{ F \right\}}(f)$">|; 

$key = q/I_{ensuremath{mathrm{dirty}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$I_\ensuremath{\mathrm{dirty}}$">|; 

$key = q/B_{ensuremath{mathrm{clean}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="49" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$B_\ensuremath{\mathrm{clean}}$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{dirty}}{=B_{ensuremath{mathrm{dirty}}{ast{ensu{primary}}.I_ensuremath{mathrm{source}}right}}{,{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="256" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{dirty}} = B_\ensuremath{\mathrm{dirty...
...th{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}},
\end{displaymath}">|; 

$key = q/I_{ensuremath{mathrm{meas}}{^{ensuremath{mathrm{sd}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="$I_\ensuremath{\mathrm{meas}}^\ensuremath{\mathrm{sd}}$">|; 

$key = q/simd;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="32" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$\sim d$">|; 

$key = q/0<gamma<2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="78" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="$ 0 &lt; \gamma &lt; 2$">|; 

$key = q/{displaymath}B_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{W.Sright}}{{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="160" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="\begin{displaymath}
B_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ W.S \right\}}
\end{displaymath}">|; 

$key = q/simD;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="$\sim D$">|; 

$key = q/(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="48" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$(\alpha,\beta)$">|; 

$key = q/^{1,2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$^{1,2}$">|; 

$key = q/ast;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$\ast$">|; 

$key = q/2times22'';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="$2\times22''$">|; 

$key = q/(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$(\alpha,\delta)$">|; 

$key = q/sigma(alpha,beta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="58" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$\sigma(\alpha,\beta)$">|; 

$key = q/B_{ensuremath{mathrm{primary}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="66" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$B_\ensuremath{\mathrm{primary}}$">|; 

$key = q/backslash;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$\backslash$">|; 

$key = q/2.5d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="36" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="$2.5 d$">|; 

$key = q/I_{ensuremath{mathrm{dirty}}{=B_{ensuremath{mathrm{dirty}}{.I_{ensuremath{mathrm{point}}{=B_{ensuremath{mathrm{dirty}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="218" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$I_\ensuremath{\mathrm{dirty}} =
B_\ensuremath{\mathrm{dirty}}.I_\ensuremath{\mathrm{point}} = B_\ensuremath{\mathrm{dirty}}$">|; 

$key = q/B_{ensuremath{mathrm{primary}}{.I_{ensuremath{mathrm{source}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}}$">|; 

$key = q/=30,mbox{m}-15,mbox{m};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$=30 \mbox{m}-15 \mbox{m}$">|; 

$key = q/^{3};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$^{3}$">|; 

$key = q/sigma_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$\sigma_i$">|; 

$key = q/{displaymath}V(u=0,v=0)stackrel{mbox{FT}}{rightleftharpoons}sum_{ij~in~{ensuremaary}}.I_ensuremath{mathrm{source}}right}}{_{ij}.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="367" HEIGHT="56" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="\begin{displaymath}
V(u=0,v=0) \stackrel{\mbox{FT}}{\rightleftharpoons} \sum_{i...
...athrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}_{ij}.
\end{displaymath}">|; 

$key = q/F_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$F_i$">|; 

$key = q/B_i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$B_i$">|; 

$key = q/M;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$M$">|; 

$key = q/u,v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="$u,v$">|; 

$key = q/M(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$M(\alpha,\delta)$">|; 

$key = q/mbox{FT}{ensuremath{displaystyleleft{Fright}}{(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="106" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$\mbox{FT}\ensuremath{\displaystyle\left\{ F \right\}}(u,v)$">|; 

$key = q/N(alpha,delta);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$N(\alpha,\delta)$">|; 

$key = q/I_{ensuremath{mathrm{point}}{=1;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$I_\ensuremath{\mathrm{point}} = 1$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{W.S.Vright}}{.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="180" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ W.S.V \right\}}.
\end{displaymath}">|; 

$key = q/{ensuremath{mathrm{max}}{({ensuremath{left|I_ensuremath{mathrm{res}}right|}{);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$\ensuremath{\mathrm{max}}(\ensuremath{\left\vert I_\ensuremath{\mathrm{res}} \right\vert})$">|; 

$key = q/S(u,v)=1slashsigma^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="115" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$S(u,v) = 1/\sigma^2$">|; 

$key = q/MtimesN;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$M \times N$">|; 

$key = q/B=1slashr^3;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="75" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$B = 1/r^3$">|; 

$key = q/(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$(u,v)$">|; 

$key = q/{displaymath}V(u,v)={ensuremath{displaystyleleft{mbox{FT}(B_ensuremath{mathrm{prT}(I_ensuremath{mathrm{source}})right}}{(u,v)+N.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="375" HEIGHT="33" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="\begin{displaymath}
V(u,v) = \ensuremath{\displaystyle\left\{ \mbox{FT}(B_\ensu...
...ar \mbox{FT}(I_\ensuremath{\mathrm{source}}) \right\}}(u,v)+N.
\end{displaymath}">|; 

$key = q/W.S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$W.S$">|; 

$key = q/V=mbox{FT}{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="197" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="$V = \mbox{FT}\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}}$">|; 

$key = q/i;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$i$">|; 

$key = q/N';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$N'$">|; 

$key = q/D;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$D$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{clean}}{^{ensuremath{mathrm{int}}{=mbox{Highpaan}}starI_ensuremath{mathrm{source}}right}}{+N'.{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="344" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{clean}}^\ensuremath{\mathrm{int}} = \...
...m{clean}} \star I_\ensuremath{\mathrm{source}} \right\}} + N'.
\end{displaymath}">|; 

$key = q/B_{ensuremath{mathrm{dirty}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$B_\ensuremath{\mathrm{dirty}}$">|; 

$key = q/V(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="59" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$V(u,v)$">|; 

$key = q/beta_{2000}=-02:28:00.00;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="183" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$\beta_{2000}
=-02:28:00.00$">|; 

$key = q/t;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="$t$">|; 

$key = q/n_mathrm{comp};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="$n_\mathrm{comp}$">|; 

$key = q/sigma{};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="15" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$\sigma{}$">|; 

$key = q/S;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$S$">|; 

$key = q/uv;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$uv$">|; 

$key = q/v;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="$v$">|; 

$key = q/d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$d$">|; 

$key = q/1.25d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="45" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$1.25 d$">|; 

$key = q/-2^{15};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$-2^{15}$">|; 

$key = q/(1slashsigma^2);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$(1/\sigma^2)$">|; 

$key = q/B_{ensuremath{mathrm{dirty}}{=mbox{FT}^{-1}{ensuremath{displaystyleleft{Sright}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="145" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$B_\ensuremath{\mathrm{dirty}} = \mbox{FT}^{-1} \ensuremath{\displaystyle\left\{ S \right\}}$">|; 

$key = q/W(u,v);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="64" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$W(u,v)$">|; 

$key = q/2times55'';MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="60" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="$2\times55''$">|; 

$key = q/{displaymath}I_{ensuremath{mathrm{meas}}{^{ensuremath{mathrm{int}}{=B_{ensurematrimary}}.I_ensuremath{mathrm{source}}right}}{+N,{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="290" HEIGHT="32" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="\begin{displaymath}
I_\ensuremath{\mathrm{meas}}^\ensuremath{\mathrm{int}} = B_...
...mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}} + N,
\end{displaymath}">|; 

$key = q/B_{ensuremath{mathrm{sd}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$B_\ensuremath{\mathrm{sd}}$">|; 

$key = q/{ensuremath{displaystyleleft{B_ensuremath{mathrm{primary}}.I_ensuremath{mathrm{source}}right}}{=I_{ensuremath{mathrm{point}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="196" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$\ensuremath{\displaystyle\left\{ B_\ensuremath{\mathrm{primary}}.I_\ensuremath{\mathrm{source}} \right\}} =
I_\ensuremath{\mathrm{point}}$">|; 

$key = q/{displaymath}displaystyle<comment_mark>51M(alpha,delta)=frac{displaystylesumnolimnolimits_ifrac{B_i(alpha,delta)^2}{sigma_i^2}},{displaymath};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="246" HEIGHT="120" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="\begin{displaymath}
\displaystyle %
M(\alpha,\delta) = \frac{\displaystyle\s...
...style\sum\nolimits_i \frac{B_i(\alpha,\delta)^2}{\sigma_i^2}},
\end{displaymath}">|; 

$key = q/gamma.{ensuremath{mathrm{max}}{({ensuremath{left|I_ensuremath{mathrm{res}}right|}{);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="100" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$\gamma.\ensuremath{\mathrm{max}}(\ensuremath{\left\vert I_\ensuremath{\mathrm{res}} \right\vert})$">|; 

$key = q/0.5sigma;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="37" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="$0.5\sigma$">|; 

$key = q/propto(1-gamma)^{n_{mathrm{comp}}};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="113" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="$ \propto
(1-\gamma)^{n_{\mathrm{comp}}}$">|; 

$key = q/I_{ensuremath{mathrm{clean}}{^{ensuremath{mathrm{int}}{;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="43" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$I_\ensuremath{\mathrm{clean}}^\ensuremath{\mathrm{int}}$">|; 

$key = q/S(u,v)=0;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="88" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$S(u,v) = 0$">|; 

$key = q/D-d;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$D-d$">|; 

$key = q/sqrt{U^2+V^2};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="83" HEIGHT="41" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$\sqrt{U^2+V^2}$">|; 

$key = q/alpha_{2000}=05:40:54.270;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="179" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="$\alpha_{2000} = 05:40:54.270$">|; 

$key = q/V(u=0,v=0);MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="123" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="$V(u=0,v=0)$">|; 

$key = q/1slashsigma^2;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="40" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$1/\sigma^2$">|; 

$key = q/N=19;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$N=19$">|; 

$key = q/^{1};MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$^{1}$">|; 

$key = q/N;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$N$">|; 

$key = q/d=15;MSF=1.6;LFS=11;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$d = 15$">|; 

1;

