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    <div class="moz-cite-prefix">Hi Kenneth,<br>
      <br>
      Sorry for my unclear description of the problem in previous
      emails. You actually explained what happened in the second
      paragraph of your email. Now I do "Extract Edges" and see all the
      edges. But yesterday I saw some internal points have no edges
      connecting to them (I referred them as dangling points) when
      displaying the Delaunay triangulation grid in wireframe, and
      didn't realize it shows only the wireframe of the surface. Thank
      you for pointing this out. It all makes sense now.<br>
      <br>
      Best,<br>
      Weiguang<br>
      <br>
      <br>
      On 5/22/2018 4:15 PM, Moreland, Kenneth wrote:<br>
    </div>
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        <p class="MsoNormal"><span style="color:windowtext">Weiguang,<o:p></o:p></span></p>
        <p class="MsoNormal"><span style="color:windowtext"><o:p> </o:p></span></p>
        <p class="MsoNormal"><span style="color:windowtext">I just want
            to clarify something quickly with your question. When you
            say “</span><span style="color:#404040">some of the points
            are ignored in the process of Delauney triangulation” and “</span>dangling
          points,” do you mean that you can see some spheres that are
          inside the rest of the spheres?<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">I note in your description that you said
          you are looking at the wireframe of the Delaunay
          triangulation. The wireframe representation actually only
          shows the wireframe of the
          <i>surface</i>. You will not see the edges on the interior of
          the mesh, so any points that are on the interior will not look
          connected even if they are.<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">Instead of showing the wireframe, run the
          Extract Edges filter (which will show a wireframe of
          <i>all</i> edges). Does that connect the points like you
          expect?<o:p></o:p></p>
        <p class="MsoNormal"><o:p> </o:p></p>
        <p class="MsoNormal">-Ken<span style="color:windowtext"><o:p></o:p></span></p>
        <p class="MsoNormal"><span style="color:windowtext"><o:p> </o:p></span></p>
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            <p class="MsoNormal"><b><span style="color:windowtext">From:</span></b><span
                style="color:windowtext"> ParaView
                [<a class="moz-txt-link-freetext" href="mailto:paraview-bounces@public.kitware.com">mailto:paraview-bounces@public.kitware.com</a>]
                <b>On Behalf Of </b>Weiguang Guan<br>
                <b>Sent:</b> Tuesday, May 22, 2018 1:58 PM<br>
                <b>To:</b> Will Schroeder
                <a class="moz-txt-link-rfc2396E" href="mailto:will.schroeder@kitware.com"><will.schroeder@kitware.com></a><br>
                <b>Cc:</b> <a class="moz-txt-link-abbreviated" href="mailto:paraview@public.kitware.com">paraview@public.kitware.com</a><br>
                <b>Subject:</b> [EXTERNAL] Re: [Paraview] Delaunay3D<o:p></o:p></span></p>
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        <p class="MsoNormal"><o:p> </o:p></p>
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          <p class="MsoNormal">Hi Will,<br>
            <br>
            Thank you very much for your time. I've tried v5.5 and v5.2.
            This "issue" doesn't seem to have anything to do with the
            versions.<br>
            <br>
            First of all, I would like to change my words for the N=5
            case, where there might be 2, 3, or even 4 terahedra
            depending on the relative locations of the 5 points.
            <br>
            <br>
            However, the question for the N=20 case is still pending
            one. You can see the dangling points if you change the
            representation from "surface" to "wireframe". I basically
            have similar result as yours. Because the point source
            generates point cloud with random positions of points, you
            will see different results each time you change the
            parameters of Point Source (either number of point or the
            radius).<br>
            <br>
            Another question: is there another filter that constructs a
            grid from a set of points?<br>
            <br>
            Weiguang<br>
            <br>
            <br>
            On 5/22/2018 3:42 PM, Will Schroeder wrote:<o:p></o:p></p>
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            <div>
              <p class="MsoNormal"><span
                  style="font-family:"Verdana",sans-serif">What
                  version of ParaView? Mine works just
                  fine..... 5.5.0-323-g37ce137a21 64-bit<o:p></o:p></span></p>
            </div>
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              <p class="MsoNormal"><span
                  style="font-family:"Verdana",sans-serif"><o:p> </o:p></span></p>
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                    style="width:4.6562in;height:5.8541in"
                    id="_x0000_i1025"
                    src="cid:part1.02080408.09040808@rhpcs.mcmaster.ca"
                    alt="image.png" height="562" width="447"><img
                    style="width:5.4166in;height:5.8541in"
                    id="_x0000_i1026"
                    src="cid:part2.03080904.03030001@rhpcs.mcmaster.ca"
                    alt="image.png" height="562" width="520"><br>
                  <br>
                  <o:p></o:p></span></p>
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          <p class="MsoNormal"><o:p> </o:p></p>
          <div>
            <div>
              <p class="MsoNormal">On Tue, May 22, 2018 at 3:05 PM
                Weiguang Guan <<a moz-do-not-send="true"
                  href="mailto:guanw@rhpcs.mcmaster.ca">guanw@rhpcs.mcmaster.ca</a>>
                wrote:<o:p></o:p></p>
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                  <p class="MsoNormal" style="margin-bottom:12.0pt">Dear
                    Paraview users,<br>
                    <br>
                    Based on the documentation, Delaunay3D will
                    construct a <span style="color:#404040">
                      3D Delaunay triangulation from a list of input
                      points if alpha=0. But I did an experiment that
                      gave a different result. Here are the steps:<br>
                      (1) Sources->Point source, and set Number of
                      points to N (I experiment with different N=5 and
                      N=20)<br>
                      (2) Using sphere glyph to display these points<br>
                      (3) Apply filter "Delaunay 3D" to the points with
                      alpha=0 and display the resultant unstructured
                      grid as wireframe.<br>
                      <br>
                      When N=20, I can see some of the points are
                      ignored in the process of Delauney triangulation.
                      <br>
                      When N=5, The resultant unstructured grid has 3
                      cells while I think it should have only 2
                      tetrahedra.<br>
                      <br>
                      Can someone explain it? Thanks a lot.<br>
                      <br>
                      Weiguang</span><o:p></o:p></p>
                </div>
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              <p class="MsoNormal">_______________________________________________<br>
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            </blockquote>
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          <p class="MsoNormal"><br clear="all">
            <o:p></o:p></p>
          <div>
            <p class="MsoNormal"><o:p> </o:p></p>
          </div>
          <p class="MsoNormal">-- <o:p></o:p></p>
          <div>
            <div>
              <div>
                <p class="MsoNormal">William J. Schroeder, PhD<br>
                  Kitware, Inc. - Building the World's Technical
                  Computing Software<br>
                  28 Corporate Drive<br>
                  Clifton Park, NY 12065<br>
                  <a moz-do-not-send="true"
                    href="mailto:will.schroeder@kitware.com"
                    target="_blank">will.schroeder@kitware.com</a><br>
                  <a moz-do-not-send="true"
                    href="http://www.kitware.com" target="_blank">http://www.kitware.com</a><br>
                  (518) 881-4902<o:p></o:p></p>
              </div>
            </div>
          </div>
        </blockquote>
        <p class="MsoNormal"><br>
          <br>
          <br>
          <o:p></o:p></p>
        <pre>-- <o:p></o:p></pre>
        <pre>--<o:p></o:p></pre>
        <pre>Weiguang Guan<o:p></o:p></pre>
        <pre>Research Scientist<o:p></o:p></pre>
        <pre>RHPCS, McMaster University<o:p></o:p></pre>
        <pre>Phone: 905-525-9140 x22540<o:p></o:p></pre>
      </div>
    </blockquote>
    <br>
    <br>
    <pre class="moz-signature" cols="72">-- 
--
Weiguang Guan
Research Scientist
RHPCS, McMaster University
Phone: 905-525-9140 x22540
</pre>
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