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    Hi Chris!<br>
    <br>
    A plane is defined by three points and that is what you have. Take
    two of them and make the cross product, since the cross product is a
    vector which is orthogonal to both. In principal this cross product
    vector is the normal.<br>
    <br>
    Or you use the static function ComputeNormal of vtkTriangle:<br>
    <br>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; double P1[3] = { p1[0], p1[1], p1[2] };<br>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; double P2[3] = { p2[0], p2[1], p2[2] };<br>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; double P3[3] = { p3[0], p3[1], p[2] };<br>
    <br>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; double n[3];<br>
    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; vtkTriangle::ComputeNormal(P1, P2, P3, n);<br>
    <br>
    Am 16.02.2012 23:59, schrieb Bayliss, Chris (Chicago):
    <blockquote
cite="mid:7A77D5124AFF914ABC327585A84C900D1038BBAB@USBLMSVEXC003.na-hearing.corp-ad.com"
      type="cite">
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      <div class="WordSection1">
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;">Hi,<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;">I
            am having trouble extracting the appropriate data from a
            .vtk polydata file and using it with vtkClipPolyData.&nbsp; My
            polydata file contains three points representing a plane,
            the file contents are shown below.<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><u><span
              style="font-size:9.5pt;font-family:Consolas;color:gray">(Sample1-plane.vtk)</span></u><u><span
style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray"><o:p></o:p></span></u></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">#
            vtk DataFile Version 3.0<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">vtk
            output<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">ASCII<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">DATASET
            POLYDATA<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">POINTS
            3 float<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">-2.31291
            -0.472235 -26.3682 27.227 -13.8288 4.74193 -29.2774 -4.23973
            -2.38224 <o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">VERTICES
            3 6<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">1
            0 <o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">1
            1 <o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:gray">1
            2<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;">I
            am not sure how to read/extract this data and convert it
            into a usable form for the vtkclipPolyData filter.&nbsp; My code
            is below.&nbsp; Does anyone know how to compute the origin and
            normal vector form the polydata file above?&nbsp; <o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:#948A54">//import
            polydata file from above:<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">vtkPolyDataReader
            *trim =vtkPolyDataReader::New();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trim-&gt;SetFileName(<span style="color:#A31515">"C:/Program
              Files/VTK/TPS/Debug/Sample1-plane.vtk"</span>); <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;trim-&gt;Update();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp; <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;<span
              style="color:green">//Convert vtkpolydatareader object to
              vtkpolydata</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp; vtkPolyData*
            trimpd = trim-&gt;GetOutput();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimpd-&gt;SetPoints(trim-&gt;GetOutput()-&gt;GetPoints());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimpd-&gt;SetVerts(trim-&gt;GetOutput()-&gt;GetVerts());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimpd-&gt;SetPolys(trim-&gt;GetOutput()-&gt;GetPolys());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimpd-&gt;Update();<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas;color:green">//
            Write all of the coordinates of the points in the
            vtkPolyData to the console.</span><span
            style="font-size:9.5pt;font-family:Consolas"><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; <span
              style="color:blue">for</span>(vtkIdType a = 0; a &lt;
            trimpd-&gt;GetNumberOfPoints(); a++)<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; {<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span
              style="color:blue">double</span> p[3];<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
            trimpd-&gt;GetPoint(a,p);<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span
              style="color:green">// This is identical to:</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span
              style="color:green">//
              polydata-&gt;GetPoints()-&gt;GetPoint(i,p);</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; std::cout
            &lt;&lt; <span style="color:#A31515">"Points in trim plane
              "</span> &lt;&lt; a &lt;&lt; <span style="color:#A31515">"
              : ("</span> &lt;&lt; p[0] &lt;&lt; <span
              style="color:#A31515">" "</span> &lt;&lt; p[1] &lt;&lt; <span
              style="color:#A31515">" "</span> &lt;&lt; p[2] &lt;&lt; <span
              style="color:#A31515">")"</span> &lt;&lt; std::endl;<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas;color:green">//Compute
            plane normal</span><span
            style="font-size:9.5pt;font-family:Consolas"><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            vtkPolyDataNormals *trimnorm = vtkPolyDataNormals::New();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimnorm-&gt;SetInput(trimpd);<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimnorm-&gt;ComputePointNormalsOn();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimnorm-&gt;ComputePointNormalsOn();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimnorm-&gt;ComputeCellNormalsOn();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimnorm-&gt;Update();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp; <span
              style="color:green">/*trimpd-&gt;GetCellData()-&gt;SetNormals(trimnorm-&gt;ComputeCellNormalsOn()-&gt;GetOutput());*/</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
trimpd-&gt;GetCellData()-&gt;SetNormals(trimnorm-&gt;GetOutput()-&gt;GetCellData()-&gt;GetNormals());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimpd-&gt;Update();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas"> <span
              style="color:green">///////// Get cell normals ///////////</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;
            vtkDoubleArray *cellNormalsRetrieved =
            vtkDoubleArray::SafeDownCast(trimpd<span style="color:green">/*-&gt;GetOutput()*/</span>-&gt;GetCellData()-&gt;GetNormals());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp; <span
              style="color:blue">if</span>(cellNormalsRetrieved)<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; { <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;cout
            &lt;&lt; <span style="color:#A31515">"There are "</span>
            &lt;&lt; cellNormalsRetrieved-&gt;GetNumberOfTuples()
            &lt;&lt; <span style="color:#A31515">" cell normals."</span>
            &lt;&lt; endl;<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas"> <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;<span
              style="color:blue">for</span>(vtkIdType i = 0; i &lt;
            cellNormalsRetrieved-&gt;GetNumberOfTuples(); i++)<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; {<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <span
              style="color:blue">double</span> cN[3];<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
            cellNormalsRetrieved-&gt;GetTuple(i, cN);<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; cout
            &lt;&lt; <span style="color:#A31515">"Cell normal "</span>
            &lt;&lt; i &lt;&lt; <span style="color:#A31515">": "</span>
            &lt;&lt; cN[0] &lt;&lt; <span style="color:#A31515">" "</span>
            &lt;&lt; cN[1] &lt;&lt; <span style="color:#A31515">" "</span>
            &lt;&lt; cN[2] &lt;&lt; endl;<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; }<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; }<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp; <span
              style="color:blue">else</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; {<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; cout
            &lt;&lt; <span style="color:#A31515">"No cell normals."</span>
            &lt;&lt; endl;<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp; }<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal"><span
style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;;color:#948A54">//Create
            trim plane from polydata:<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">vtkPlane
            *trimplane = vtkPlane::New();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimplane-&gt;SetOrigin(trimpd-&gt;GetPoint(0));<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            trimplane-&gt;SetNormal(0.0, 1.0, 0.0);<span
              style="color:#948A54">//made up values, would like to use
              output of vtkpolydatanormals somehow.</span><o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas"> <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas;color:#948A54">//clip
            polydata named &#8220;warp&#8221;: <o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;&nbsp;vtkClipPolyData
            *clipper = vtkClipPolyData::New();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            clipper-&gt;SetInputConnection(warp-&gt;GetOutputPort());<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            clipper-&gt;SetClipFunction(trimplane);<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            clipper-&gt;GenerateClippedOutputOn();<o:p></o:p></span></p>
        <p class="MsoNormal" style="text-autospace:none"><span
            style="font-size:9.5pt;font-family:Consolas">&nbsp;&nbsp;
            clipper-&gt;SetValue(0.5);<o:p></o:p></span></p>
        <p class="MsoNormal"><span
            style="font-family:&quot;Arial&quot;,&quot;sans-serif&quot;"><o:p>&nbsp;</o:p></span></p>
        <p class="MsoNormal">Thanks,<o:p></o:p></p>
        <p class="MsoNormal"><o:p>&nbsp;</o:p></p>
        <p class="MsoNormal">Chris<o:p></o:p></p>
      </div>
      <div>&nbsp;</div>
      <br>
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