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<H3><A NAME="SECTION00843300000000000000">
GROUP/ROMAFOT</A>
</H3>
    <TT>GROUP/ROMAFOT</TT>
        <FONT SIZE="-1"><TT>frame [area] [cat_tab] [int_tab] [thres] [wnd_max]
                     [end_rad,sta_rad] [wnd_perc]</TT></FONT>
   
    This command groups the objects automatically. The catalogue table
    created by the command <TT>SEARCH/ROMAFOT</TT> is required as input.
    The command produces an intermediate table identical to the one
    created by <TT>ANALYSE/ROMAFOT</TT>.

<P>
The command works as follows: it starts examining the first object
    in the catalogue table. If the AR of this object does not intercept 
    any other AR, the program continues to establish the window for the 
    fit. Contrarily, if the AR does intercept the AR of another star 
    the command examines whether a third intersection exists and so forth. 
    When no more intersections exist, the program goes on to define the 
    associate subframe to fit. 

<P>
Going to faint photometric limits the intersections grow because
    of the higher number of stars and because the AR are larger. The 
    maximum number per window technically acceptable to ROMAFOT is 36,
    but this figure is normally kept lower (typically lower than 20). 
    The program, in the case of crowded fields, may refuse to group 
    certain objects. This situation will be discussed later.

<P>
To establish the subframe to fit, a balance of opposite requirements
    must be achieved. For instance, since the diffraction creates images
    with ``wide'' wings one is tempted to integrate over ``large'' windows,
    causing the undesirable inclusion of many objects. On the other hand, 
    considering that the central pixels of the image are those with 
    higher signal to noise ratios, ``small'' windows could be preferable.
    However, this necessitates the sky background to be known ``a priori'',
    a heavy requirement indeed in case of crowded fields!

<P>
These considerations and the idea that the sky background should
    be computed together with the star because the two data are naturally 
    coupled, led to the choice of window-sizes as wide as 9 times the FWHM 
    in the case of isolated objects. If the command is faced with a multiple 
    configuration, the window is determined by a frame, 3 times the FWHM width,
    surrounding the rectangulus circumscribing the Action Radii. 

<P>
Often new Action Radii, not intersecting the one under examination,
    fall into the window. These will be ignored during the fit. To
    visualise this, a ``hole'', as wide as the relative AR, will be
    created at the positions of these objects. In this operation some
    pixels are lost for the fitting, this is the reason for the quite 
    conservative choice of the window size.

<P>
After <TT>GROUP/ROMAFOT</TT> has finished, a histogram of the result 
    (groups, objects which failed to group and so on) is prepared printed
    in the user terminal and in the logfile.

<P>
With the default values the user groups a percentage of all the 
    objects in the list. This fraction varies a lot and depends
    on the crowding, on the seeing, and on the AR. The latter depends 
    again on the photometric limit requested. Typically, somewhere 
    between 70% and 100% of the catalogue list will turn out
    to be grouped by <TT>GROUP/ROMAFOT</TT>.

<P>
In case of the default values for AR the command starts to group
    the objects holding their original AR. Thereafter, if a group 
    exceeds the maximum number of objects (e.g. 15) GROUP/ROMAFOT 
    tries to prepare an acceptable window 
    
<!-- MATH: ${\rm AR(new)} = 0.90 \times {\rm AR(original)}$ -->
<IMG
 WIDTH="264" HEIGHT="42" ALIGN="MIDDLE" BORDER="0"
 SRC="img225.gif"
 ALT="${\rm AR(new)} = 0.90 \times {\rm AR(original)}$">.
    This limits the intersections and the groups can turn out to have 
    an acceptable number of components. It is important to note that
    the size of holes is not affected by this reduction and its original
    value is conserved.

<P>
To group remaining objects, one can execute the command once more 
    with the same catalogue and intermediate table, but with an increased 
    maximum number of objects per window and a reduced AR (in the sense 
    just explained). Here, normally AR reductions exceeding 70% of the 
    original value will produce windows with too many holes, and the final
    window to fit could contain too few pixels. In this case it is wise
    to assign a value <IMG
 WIDTH="1" HEIGHT="24" ALIGN="BOTTOM" BORDER="0"
 SRC="img226.gif"
 ALT="$\> 100$">
to the parameter [wnd_perc] in order to
    provide the fit with enough pixels to compute the sky background.

<P>
A situation where a large fraction of the objects are not grouped,
    even after the AR has been reduced to 70%, can be caused by the 
    following.
    <DL COMPACT>
<DT>1.
<DD>The photometry is extremely difficult (!).
<BR>
If this is the case, the user can only continue to group these 
      objects interactively. To do so he/she should execute the command 
      <TT>ANALYSE/ROMAFOT</TT> using the command ``5'' followed by ``S'' 
      and ``R'' or in some cases by ``C''. In case of the latter command 
      he/she is asked for a threshold. Starting from this point and using
      the command ``M'' the objects (possibly above the given threshold)
      which <TT>GROUP/ROMAFOT</TT> failed to group are presented to the user.
      Obviously, objects grouped interactively can be added to the same 
      intermediate table generated by <TT>GROUP/ROMAFOT</TT>.
     <DT>2.
<DD>The user is trying to group noise peaks.
<BR>
This case can be visualised immediately with the same commands as
      indicated for case 1. One should remember that, unless the object 
      in question is at the frame edge, it is located at the center of 
      the window presented by <TT>ANALYSE/ROMAFOT</TT>. The solution, in 
      this case, is to start again with <TT>SEARCH/ROMAFOT</TT> and with an
      increased threshold to get a new catalogue list.
     <DT>3.
<DD>The AR are too big.
<BR>
The same solution (execute <TT>SEARCH/ROMAFOT</TT> again) can be used
      in this case. However, the minimum height must now be increased, 
      while the photometric threshold can remain unchanged.
    </DL>
<P>
Following these considerations one should still be aware that there are 
    advantages with interactive processing. If, for instance, 
    <TT>GROUP/ROMAFOT</TT> was successful in grouping 95% of the program 
    objects, it may be worthwhile to look at the remaining 5%. This
    operation to obtain (as a first approximation) complete photometry
    can take 10 to 20 minutes. Of course, if one is not interested in 
    completeness, these last objects can be dropped, since their photometry 
    will be poor in comparison with the others. 

<P>
After having grouped the objects, the user tries to fit the subframes
    by executing the command <TT>FIT/ROMAFOT</TT>.

<P>
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<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-15</I>
</ADDRESS>
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