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<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>If I have an convex regular surface, say S1, whose
bounds are (x-min,x-max,y-min,y-max,z-min,z-max). S1 is convex i.e for each
point (x,y) there exists one and only one z) and regular – it has no
holes in it. S1 is obtained from a dataset of unordered x,y,z points and the surface
is obtained by triangulating it using a Delaunay 2D triangulation. (z –
z-min) will be the “height” of the surface above the plane defined
by (x-min,x-max,y-min,y-max).</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>How can I create a 3-D volume defined by the plane (x-min,x-max,y-min,y-max)
and the height above the plane (z – z-min)?</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>I thought of using the surface S1 to cut a cube whose
bounds are (x-min,x-max,y-min,y-max,z-min,z-max), but I am not sure how to do
this.</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>Has anyone any clues?</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>I thought of trying something like this, however the
implicit dataset can’t evaluate the dataset.</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>// Generate the surface S1</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->PointSource[0]->GetPolyDataOutput()->GetBounds(bounds[0]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Del2D[0]->SetInput(this->PointSource[0]->GetPolyDataOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Deci[0]->SetInput(this->Del2D[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Smoother[0]->SetInput(this->Deci[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Elev[0]->SetInput(this->Smoother[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Elev[0]->SetLowPoint(0,0,bounds[0][4]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Elev[0]->SetHighPoint(0,0,bounds[0][5]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Elev[0]->SetScalarRange(bounds[0][4],bounds[0][5]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Lut[0]->SetHueRange(0.66667,0);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Map[0]->SetInput(this->Elev[0]->GetPolyDataOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Map[0]->SetLookupTable(this->Lut[0]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Act[0]->SetMapper(this->Map[0]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->Act[0]->GetProperty()->SetOpacity(0.7);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->ren->AddProp(this->Act[0]);
// OK so far, we have the surface.</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal style='text-indent:36.0pt'><font size=2 face="Courier New"><span
lang=EN-AU style='font-size:10.0pt;font-family:"Courier New"'>// Try to cut the
cube with the surface.</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->cube[0]->SetBounds(bounds[0]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->implicitDataset[0]->SetDataSet(this->Deci[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->cut[0]->SetCutFunction(this->implicitDataset[0]);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->cut[0]->SetInput(this->cube[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->cut[0]->Update();
// Fails here because it can’t evaluate the dataset.</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->map->SetInput(this->cut[0]->GetOutput());</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->act->SetMapper(this->map);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> this->ren->AddProp(this->act);</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>Declarations are:</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> PointSource[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkDelaunay2D
*Del2D[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkDecimatePro
*Deci[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkSmoothPolyDataFilter
*Smoother[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkElevationFilter
*Elev[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkLookupTable
*Lut[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkPolyDataMapper
*Map[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkActor
*Act[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkCubeSource
*cube[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkImplicitDataSet
*implicitDataset[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkCutter
*cut[2];</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> vtkDataSetMapper
*map;</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>Thanks in advance for any help,</span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'>Andrew</span></font></p>
<p class=MsoNormal><font size=2 face="Courier New"><span lang=EN-AU
style='font-size:10.0pt;font-family:"Courier New"'> </span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-AU style='font-size:
10.0pt;font-family:Arial'> </span></font></p>
<h3><b><font size=2 color="#330099" face=Verdana><span style='font-size:10.0pt'>___________________________________________<br>
</span></font></b><font size=2><span style='font-size:10.0pt'>Andrew J. P.
Maclean</span></font></h3>
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style='width:287.6pt' height=75>
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<td width=50 height=75 valign=top style='width:37.8pt;padding:0cm 0cm 0cm 0cm;
height:56.25pt'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Postal:</span></font></p>
</td>
<td width=333 height=75 valign=top style='width:249.8pt;padding:0cm 0cm 0cm 0cm;
height:56.25pt'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Australian Centre for Field
Robotics<br>
The Rose Street Building J04<br>
The </span></font><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>University</span></font><font
size=2 face=Verdana><span lang=EN-AU style='font-size:10.0pt;font-family:
Verdana'> of </span></font><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Sydney</span></font><font
size=2 face=Verdana><span lang=EN-AU style='font-size:10.0pt;font-family:
Verdana'> 2006 NSW<br>
</span></font><font size=2 face=Verdana><span lang=EN-AU style='font-size:
10.0pt;font-family:Verdana'>AUSTRALIA</span></font></p>
</td>
</tr>
<tr>
<td width=50 style='width:37.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Room:</span></font></p>
</td>
<td width=333 style='width:249.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>106</span></font></p>
</td>
</tr>
<tr>
<td width=50 style='width:37.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Phone:</span></font></p>
</td>
<td width=333 style='width:249.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>+61 2 9351 3283</span></font></p>
</td>
</tr>
<tr>
<td width=50 style='width:37.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>Fax:</span></font></p>
</td>
<td width=333 style='width:249.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'>+61 2 9351 7474</span></font></p>
</td>
</tr>
<tr>
<td width=50 style='width:37.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=2 face=Verdana><span lang=EN-AU
style='font-size:10.0pt;font-family:Verdana'> </span></font></p>
</td>
<td width=333 style='width:249.8pt;padding:0cm 0cm 0cm 0cm'>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-AU
style='font-size:12.0pt'><a href="http://www.acfr.usyd.edu.au/"><font size=2
face=Verdana><span style='font-size:10.0pt;font-family:Verdana'>http://www.acfr.usyd.edu.au/</span></font></a></span></font></p>
</td>
</tr>
</table>
<p class=MsoNormal><b><font size=2 color="#330099" face=Verdana><span
style='font-size:10.0pt;font-family:Verdana;color:#330099;font-weight:bold'>___________________________________________</span></font></b></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-AU
style='font-size:12.0pt'> </span></font></p>
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