Hi, Sam, <div>  I am still having trouble with the file. I tried to open it with several programs on windows   and linux platforms and could not open it.  If you have a .tex file, maybe you can try to post that instead.</div>
<div>thanks,</div><div>Leo</div><div><br><div class="gmail_quote">On Sun, Jun 10, 2012 at 8:49 PM, Samuel Key <span dir="ltr">&lt;<a href="mailto:samuelkey@bresnan.net" target="_blank">samuelkey@bresnan.net</a>&gt;</span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
  
    
  
  <div bgcolor="#FFFFFF" text="#000000">
    Leo,<br>
    <br>
    Here is the *.pdf file again.<br>
    <br>
    Sam<div><div class="h5"><br>
    <br>
    On 6/10/2012 6:36 PM, Yuanxin Liu wrote:
    </div></div><blockquote type="cite"><div><div class="h5">Hi, Sam, 
      <div>  Would you mind reposting this?  The pdf file seems corrupt.</div>
      <div>thanks,</div>
      </div></div><div>Leo<br>
        <br>
        <div class="gmail_quote"><div><div class="h5">On Sun, Jun 10, 2012 at 7:38 PM, Samuel
          Key <span dir="ltr">&lt;<a href="mailto:samuelkey@bresnan.net" target="_blank">samuelkey@bresnan.net</a>&gt;</span>
          wrote:<br>
          </div></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
            <div bgcolor="#FFFFFF" text="#000000"><div><div class="h5"> Hi Leo,<br>
              <br>
              Though likely more arithmetically intense than you would
              like, I have attached a 3-page write-up on how to do an
              exact integration over the surface of a bi-linear
              isoparametric coordinate based quadrilateral in
              three-space. It is easily adapted to a flux integration as
              well.<br>
              <br>
              If it helps, please free to incorporate it into ParaView.<br>
              <br>
              Sam Key.
              </div></div><div>
                <div><div><div class="h5"><br>
                  <br>
                  <br>
                  <br>
                  On 6/10/2012 12:55 PM, Yuanxin Liu wrote:
                  </div></div><blockquote type="cite"><div><div class="h5">Hi, <br>
                       This is not really a bug, but just what the
                    linear precision integration does.  As you can see
                    in vtkIntegrateAttributes.cxx:215, the quad cell is
                    basically cut into two triangles along a diagonal,
                    integration is done for each triangle and the
                    results are added up.   So, depending where your &quot;1&quot;
                    falls on a diagonal vertex, you will get different
                    results.
                    <div> <br>
                    </div>
                    <div>Leo</div>
                    <div><br>
                    </div>
                    <br>
                    </div></div><div class="gmail_quote"><div><div class="h5">On Sat, Jun 9, 2012 at 8:57
                      AM, Magician <span dir="ltr">&lt;<a href="mailto:f_magician@mac.com" target="_blank">f_magician@mac.com</a>&gt;</span>
                      wrote:<br>
                      </div></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div class="h5">Hi all,<br>
                        <br>
                        <br>
                        Now I found a bug of the filter.<br>
                        <br>
                        My ParaView&#39;s version is 3.14.1.<br>
                        I define node names as below:<br>
                        &gt; c--d<br>
                        &gt; |  |<br>
                        &gt; a--b<br>
                        <br>
                        Case 1: a=1.0, b=0.0, c=0.0, d=0.0<br>
                        Integration Value = 0.33333<br>
                        <br>
                        Case 2: a=0.0, b=1.0, c=0.0, d=0.0<br>
                        Integration Value = 0.16666<br>
                        <br></div></div>
              (         Case 3: a=0.0, b=0.0, c=1.0, d=0.0<div class="im"><br>
                        Integration Value = 0.16666<br>
                        <br>
                        Case 4: a=0.0, b=0.0, c=0.0, d=1.0<br>
                        Integration Value = 0.33333<br>
                        <br>
                        So Integration Values are calculated as
                        (2*a+b+c+2*d)/6.<br>
                        I think it&#39;s not a good result.<br>
                        </div><span><font color="#888888">,br&gt;
                            <br>
                            Magician<br>
                          </font></span>
                        <div>
                          <div><div class="im"><br>
                            <br>
                            On(2012/06/08, at 12:54, Magician wrote:<br>
                            <br>
                            &gt; Hi all,<br>
                            &gt;<br>
                            &gt;<br></div>
                            &gt; I&#39;m now comparing integjation results
                            of each postprocessors.<div class="im"><br>
                            &gt; I made a simple Quadratic VTK model as
                            below:<br>
                            &gt;&gt; # vtk DataFile Version 2.0<br></div>
 (                          &gt;<div><div class="h5"><br>
                            &gt;&gt; QuadCell<br>
                            &gt;&gt; ASCII<br>
                            &gt;&gt; DATASET UNSTRUCTURED_GRID<br>
                            &gt;&gt; POINTS 4 FLOAT<br>
                            &gt;&gt; 0 0 0<br>
                            &gt;&gt; 1 0 0<br>
                            &gt;&gt; 0 1 0<br>
                            &gt;&gt; 1 1 0<br>
                            &gt;&gt; CELLS 1 5<br>
                            &gt;&gt; 4 0 1 3 2<br>
                            &gt;&gt; CELL_TYPES 1<br>
                            &gt;&gt; 9<br>
                            &gt;&gt; POINT_DATA 4<br>
                            &gt;&gt; SCALARS scalar FLOAT 1<br>
                            &gt;&gt; LOOKUP_TABLE DEFAULT<br>
                            &gt;&gt; 0.0<br>
                            &gt;&gt; 1.0<br>
                            &gt;&gt; 2.0<br>
                            &gt;&gt; 4.0<br>
                            &gt;<br>
                            &gt; When I apply Point Data to Cell Data
                            filter,<br>
                            &gt; scalar values are interpolated as 1.75.<br>
                            &gt; It may be calculated as
                            (0.0+1.0+2.0+4.0)/4.0.<br>
                            &gt;<br>
                            &gt; But when I apply Integrate Variables
                            filter,<br>
                            &gt; scalar value is integrated as 1.833....<br>
                            &gt; The area value of quadratic cell is
                            1.0, so I thought<br>
                            &gt; integrated values should be equal to
                            cell data.<br>
                            &gt;<br>
                            &gt; How the integrated value is calculated?<br>
                            &gt;<br>
                            &gt;<br>
                            &gt; Magician<br>
                            <br>
_______________________________________________<br>
                            Powered by <a href="http://www.kitware.com" target="_blank">www.kitware.com</a><br>
                            <br>
                            Visit other Kitware open-source projects at
                            <a href="http://www.kitware.com/opensource/opensource.html" target="_blank">http://www.kitware.com/opensource/opensource.html</a><br>
                            <br>
                            Please keep messages on-topic and check the
                            ParaView Wiki at: <a href="http://paraview.org/Wiki/ParaView" target="_blank">http://paraview.org/Wiki/ParaView</a><br>
                            <br>
                            Follow this link to subscribe/unsubscribe:<br>
                            <a href="http://www.paraview.org/mailman/listinfo/paraview" target="_blank">http://www.paraview.org/mailman/listinfo/paraview</a><br>
                          </div></div></div>
                        </div>
                      </blockquote>
                    </div><div><div class="h5">
                    <br>
                    <br>
                    <fieldset></fieldset>
                    <br>
                    <pre>_______________________________________________
Powered by <a href="http://www.kitware.com" target="_blank">www.kitware.com</a>

Visit other Kitware open-source projects at <a href="http://www.kitware.com/opensource/opensource.html" target="_blank">http://www.kitware.com/opensource/opensource.html</a>

Please keep messages on-topic and check the ParaView Wiki at: <a href="http://paraview.org/Wiki/ParaView" target="_blank">http://paraview.org/Wiki/ParaView</a>

Follow this link to subscribe/unsubscribe:
<a href="http://www.paraview.org/mailman/listinfo/paraview" target="_blank">http://www.paraview.org/mailman/listinfo/paraview</a>
</pre>
                  </div></div></blockquote>
                </div>
              </div>
            </div>
          </blockquote>
        </div>
        <br>
      </div>
    </blockquote>
  </div>

</blockquote></div><br></div>