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<div class=Section1>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>John,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Many thanks for replying. I have tried
EVERYTHING. I have even tried reloading all the props into the renderer. I have
checked the altered bounds on everything from the vtkUnstructuredGrid to the vtkPoints*
pNodalGeometry. None of the bounds are altered after the change (which, I would
imagine, is why the resetting of the clip planes has no effect). My workaround
is:<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>void
CSampleView::ResetCameraClippingRange(BOOL ShowDisplacement)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>{ <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>// float bounds[6] ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>//
Renderer->ComputeVisiblePropBounds(bounds) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>// Renderer->ResetCameraClippingRange()
;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> // TODO: add construction code here<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> vtkInteractorStyleSwitch* pStyle =
(vtkInteractorStyleSwitch*)Interactor->GetInteractorStyle() ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> if (ShowDisplacement)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> { <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> pStyle->AutoAdjustCameraClippingRangeOff()
;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> vtkCamera* pCamera
= Renderer->GetActiveCamera() ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> pCamera->SetClippingRange(0.001,
1000.) ; // Arbitrary – this could be automated<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> } else<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> {<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> pStyle->AutoAdjustCameraClippingRangeOn()
;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> }<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>}<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>which I call every time the displacement
view option is chosen. Note that it was at this level that I tried to ResetCameraClippingRange
(both with bounds computed and not), but to no avail.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Any other suggestions welcomed.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Regards,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'>Jim<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><b><font size=3 color=navy face=Arial><span
style='font-size:12.0pt;font-family:Arial;color:navy;font-weight:bold'>James C
Robinson</span></font></b><font size=2 color=navy face=Arial><span
style='font-size:10.0pt;font-family:Arial;color:navy'>, PhD, Chartered
Engineer,</span></font><font color=navy><span style='color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face=Wingdings><span
style='font-size:12.0pt;font-family:Wingdings;color:navy'>+</span></font><font
color=navy><span style='color:navy'> </span></font><font size=2 color=navy
face=Arial><span style='font-size:10.0pt;font-family:Arial;color:navy'>42
Rivergrove,</span></font><font color=navy><span style='color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> Glanmire,</span></font><font
color=navy><span style='color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> Co. <st1:place w:st="on"><st1:City
w:st="on">Cork</st1:City></st1:place>,</span></font><font color=navy><span
style='color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'> <st1:place w:st="on">Eire</st1:place></span></font><font
color=navy><span style='color:navy'><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Wingdings 2"><span
style='font-size:12.0pt;font-family:"Wingdings 2";color:navy'>'</span></font><font
color=navy><span style='color:navy'> +353 21 4822028<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Times New Roman"><span
style='font-size:12.0pt;color:navy'> +353 87 2393010<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face="Wingdings 2"><span
style='font-size:12.0pt;font-family:"Wingdings 2";color:navy'>6</span></font><font
color=navy><span style='color:navy'> +353 21 4822028<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 color=navy face=Wingdings><span
style='font-size:12.0pt;font-family:Wingdings;color:navy'>-</span></font><font
color=navy><span style='color:navy'> </span></font><font color=blue><span
style='color:blue'>j.robinson@kepler-systems.com</span></font><font color=navy><span
style='color:navy'> </span></font><o:p></o:p></p>
</div>
<div>
<div class=MsoNormal align=center style='text-align:center'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>
<hr size=2 width="100%" align=center tabindex=-1>
</span></font></div>
<p class=MsoNormal><b><font size=2 face=Tahoma><span style='font-size:10.0pt;
font-family:Tahoma;font-weight:bold'>From:</span></font></b><font size=2
face=Tahoma><span style='font-size:10.0pt;font-family:Tahoma'> John Biddiscombe
[mailto:jbiddiscombe@skippingmouse.co.uk] <br>
<b><span style='font-weight:bold'>Sent:</span></b> 11 August 2004 12:20<br>
<b><span style='font-weight:bold'>To:</span></b> j.robinson@kepler-systems.com;
Vtk Users<br>
<b><span style='font-weight:bold'>Subject:</span></b> Re: [vtkusers] Clipping
Planes</span></font><o:p></o:p></p>
</div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>After calling AddDisplacement(...) you are calling
resetCameralippingRage() yes? If not. try it.</span></font><o:p></o:p></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'> <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>JB</span></font><o:p></o:p></p>
</div>
<blockquote style='border:none;border-left:solid black 1.5pt;padding:0cm 0cm 0cm 4.0pt;
margin-left:3.75pt;margin-top:5.0pt;margin-right:0cm;margin-bottom:5.0pt'>
<div>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>----- Original Message ----- <o:p></o:p></span></font></p>
</div>
<div style='font-color:black'>
<p class=MsoNormal style='background:#E4E4E4'><b><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial;font-weight:bold'>From:</span></font></b><font
size=2 face=Arial><span style='font-size:10.0pt;font-family:Arial'> <a
href="mailto:j.robinson@kepler-systems.com"
title="j.robinson@kepler-systems.com">James Robinson</a> <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><b><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial;font-weight:bold'>To:</span></font></b><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'> <a
href="mailto:vtkusers@vtk.org" title="vtkusers@vtk.org">Vtk Users</a> <o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><b><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial;font-weight:bold'>Sent:</span></font></b><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'> Wednesday, August
11, 2004 11:24 AM<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><b><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial;font-weight:bold'>Subject:</span></font></b><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial'> [vtkusers]
Clipping Planes<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>Dear All,<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>I am having trouble (again) with clipping planes. I
am trying to create a viewer to view results of an FE analysis. Part of the
results are the displacements at the nodes of the finite element mesh. I read
in the FE mesh into a vtkUnstructuredGrid with the displacements as a vector
field. I then create a displaced geometry by adding them to the
vtkUnstructuredGrid geometry as follows:<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>void CSampleDoc::AddDisplacement(float factor)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>{ vtkFloatArray *pDisplacement =
(vtkFloatArray*)this->pUnstructuredGrid->GetPointData()->GetVectors()
;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
vtkPoints* pNodalGeometry = this->pUnstructuredGrid->GetPoints() ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
if (pDisplacement==NULL)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
{ AfxMessageBox("No displacement set") ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
return ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
}<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
float newcoords[3] ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
float* x ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
float* delta ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
for (int i = 0; i < pNodalGeometry->GetNumberOfPoints(); i++)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
{ <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
x = pNodalGeometry->GetPoint(i) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> delta =
pDisplacement->GetTuple(i) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
for (int j = 0; j < 3; j++)<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> { newcoords[j] =
x[j] + factor*delta[j] ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
}<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
pNodalGeometry->SetPoint(i,newcoords) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
}<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
this->pUnstructuredGrid->Update() ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
this->pGeometry->SetInput(pUnstructuredGrid) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> this->pMeshMapper->SetInput(pGeometry->GetOutput());<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> this->pMeshMapper->Update()
;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
this->pMeshActor->SetMapper(this->pMeshMapper) ;<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>}<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>This works (with some other quirky behaviour which I
have circumvented). But a problem that I am having difficulty with is that the
clipping planes remain as if the geometry hadn’t been altered. Thus, as I
rotate the object (in trackball camera mode) the displaced object disappears. I
have checked the bounds of the viewable objects (using
Renderer->ComputeVisiblePropBounds(bounds) ;) and they are unaltered –
thus all the AutoClipping is thrown out of whack. It may very well be that (a)
I am doing things that are not meant to be catered for in vtk or (b) there is a
better (preferably simpler) way of achieving this effect. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>All suggestions gratefully welcomed.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>Jim<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b><font size=3 face=Arial><span lang=EN-IE
style='font-size:12.0pt;font-family:Arial;font-weight:bold'>James C Robinson</span></font></b><font
size=2 face=Arial><span lang=EN-IE style='font-size:10.0pt;font-family:Arial'>,
PhD, Chartered Engineer,</span></font><span lang=EN-IE><o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face=Wingdings><span lang=EN-IE
style='font-size:12.0pt;font-family:Wingdings'>+</span></font><span lang=EN-IE>
</span><font size=2 face=Arial><span lang=EN-IE style='font-size:10.0pt;
font-family:Arial'>42 Rivergrove,</span></font><span lang=EN-IE><o:p></o:p></span></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'>
Glanmire,</span></font><span lang=EN-IE><o:p></o:p></span></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> Co. <st1:place
w:st="on"><st1:City w:st="on">Cork</st1:City></st1:place>,</span></font><span
lang=EN-IE><o:p></o:p></span></p>
<p class=MsoNormal><font size=2 face=Arial><span lang=EN-IE style='font-size:
10.0pt;font-family:Arial'> <st1:place
w:st="on">Eire</st1:place></span></font><span lang=EN-IE><o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Wingdings 2"><span lang=EN-IE
style='font-size:12.0pt;font-family:"Wingdings 2"'>'</span></font><span
lang=EN-IE> +353 21 4822028<o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-IE
style='font-size:12.0pt'> +353
87 2393010<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Wingdings 2"><span lang=EN-IE
style='font-size:12.0pt;font-family:"Wingdings 2"'>6</span></font><span
lang=EN-IE> +353 21 4822028<o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face=Wingdings><span lang=EN-IE
style='font-size:12.0pt;font-family:Wingdings'>-</span></font><span lang=EN-IE>
<font color=blue><span style='color:blue'>j.robinson@kepler-systems.com</span></font> <o:p></o:p></span></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span lang=EN-IE
style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<div class=MsoNormal align=center style='text-align:center'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>
<hr size=2 width="100%" align=center>
</span></font></div>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>_______________________________________________<br>
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</blockquote>
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