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<H2><A NAME="SECTION00521000000000000000">&#160;</A><A NAME="1854">&#160;</A>
<BR>
Tips for Using Geomview
</H2>
 
   In order to use DsTool Tk's three dimensional viewing capabilities, 
you need to have access to Geomview.  For information on using Geomview,
see the documentation accompanying it.  This section gives 
some tips which are specific to Geomview's interaction with DsTool.
 
In order to use Geomview effectively with DsTool, you need to know how
DsTool interacts with Geomview.  Geomview is used for two purposes in 
DsTool: plotting and viewing three dimensional data, and doing animations.  
For three dimensional viewing, data previously computed by DsTool 
is sent to Geomview, where the user can view and manipulate the data.  
For animations, the data is sent to Geomview as it is computed, so 
that the animation can take place in real time.  
 
Here are some other helpful tips:
 
<DL COMPACT>
<DT>1.
<DD>You can scale the individual axes of a target sent to Geomview
from DsTool using the external module ``Transformer''<A NAME="1856">&#160;</A>.  
   This module allows you to scale axes individually, or in groups.  This 
   feature comes in handy when you have data that has widely varying
   scales.  While DsTool automatically compensates for these cases,
   Geomview does not.

<DT>2.
<DD>There are two basic types of animations<A NAME="1857">&#160;</A> that are done with Geomview.
   The first type involves sending transformation matrices from DsTool to 
   Geomview at each time step of an integration to change the position of 
   the objects. The second type involves replacing the objects in Geomview with
   new ones at each time step.  Due to the large amounts
   of data being passed from DsTool to Geomview, animations can be very slow, 
   even for the first type.  Therefore, when doing animations, you might want to
   lower the number of time steps taken or choose a faster integrator.
 
<DT>3.
<DD>You can delete trajectories or other data objects by using the 
   ``Delete'' function (on the edit menu), but this option will delete
   only the target which is highlighted in the target menu.  This target 
   is also listed in the Target field of the Tools window.  Selecting 
   Delete when the target is ``World'' will delete everything.
   Deleting selected targets can be useful when 
   for example you want to view the (un)stable manifold of a single 
   fixed point.  Since DsTool sends the 
   computed stable and unstable manifolds of the fixed points 
   individually, you can delete the ones you aren't interested in seeing.
   Alternately, you can delete the manifolds in DsTool before sending 
   them to Geomview.

<DT>4.
<DD>You can overlay plots of variables<A NAME="1858">&#160;</A> by using the 3-D View window
   and Geomview.  For example, if you want to overlay plots of  x vs.&nbsp;t, 
   y vs.&nbsp;t and z vs.&nbsp;t, you can do this by the following procedure:
   First, send to Geomview (via the 3-D View window) the plot x vs.&nbsp;t vs.&nbsp;0.
   Then copy the resulting Geomview target by selecting the Copy 
   option from the Edit menu button.  Next, send to Geomview
   the plot y vs.&nbsp;t vs.&nbsp;0.  Again, copy this resulting target.
   Finally, send to Geomview the plot z vs.&nbsp;t vs.&nbsp;0.  
   The resulting plot in Geomview will be the overlay of the three plots.
   If you fail to copy any of the targets, they will be erased.  This is 
   because DsTool sends trajectory objects to Geomview using the 
   name ``Traj.n.m'', where <I>n</I> is the flow number, and <I>m</I> is the 
   trajectory number.  Since we're only using one trajectory to generate
   all three plots, DsTool sends the data to the same target name each 
   time, writing over the previous data in that target.

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<ADDRESS>
<I>John Lapeyre</I>
<BR><I>1998-09-04</I>
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