[Insight-users] itk::PCAShapeSignedDistanceFunction
Lydia Ng
lng at insightful.com
Fri, 2 Apr 2004 15:47:49 -0800
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Ok, I think I have a solution.
=20
The FloodFilledSpatialFunctionConditionalIterator might be the answer.
Basically, this iterator starts at a user specify seed point(s) and only
explore the pixels for which a SpatialFunction returns a non-zero value.
=20
Note that this will only visits the pixels which are connected (via the
SpatialFunction membership criteria) to the seed point. So if the region =
you
desired is composed of several separate regions, you will need at lease =
one
seed point per region.
=20
To use this iterator the way you want, you would need to wrap the
PCAShapeSignedDistanceFunction into another SpatialFunction that returns =
true
if the distance is within [low_val, high_val] and false otherwise.
=20
I have just created such a class BinaryThresholdSpatialFunction and =
checked
it into cvs.
=20
The test itkBinaryThresholdSpatialFunction illustrates how to connect up =
a
ShapeSignedDistanceFunction (the test uses the simpler sphere function - =
but
the mechanism is the same) and how it can be used in conjunction with =
the
FloodFilledSpatialFunctionConditionalIterator.
=20
Check it out.
=20
-Lydia
=20
=20
-----Original Message-----
From: Lucas Lorenzo [mailto:lucas at cvrti.utah.edu]=20
Sent: Thursday, April 01, 2004 11:09 AM
To: Lydia Ng
Cc: ITK
Subject: Re: [Insight-users] itk::PCAShapeSignedDistanceFunction
=20
Thanks Lydia,=20
=20
what I'm doing right now is using an ImageConstIteratorWithIndex to =
iterate
over a FeatureImageType image and at each iteration step I'm getting the
index (GetIndex()) so as to evaluate the PCAShapeSignedDistanceFunction.
Then, if the signe distance function value is within the window I've =
already
defined, I perform other operations using the FeatureImage values.=20
=20
So, the previous process works but very slowly.=20
=20
Is there a way to iterate directly over the =
PCAShapeSignedDistanceFunction,
getting the index ONLY when the signed distance value is within the =
window
(calling this way method GetIndex() a few times) ? This way I assume the
process would be much faster.=20
=20
Thanks,=20
=20
Lucas=20
=20
On Apr 1, 2004, at 11:54 AM, Lydia Ng wrote:=20
=20
Lucas,=20
=20
I don't believe there is apart from polling one pixel at a time.=20
=20
Even if you use a combination of filters=20
SpatialFunctionImageEvaluatorFilter->BinaryThresholdImageFilter you will =
still need to eventually visit every pixel to find which is within =
range.=20
=20
- Lydia=20
=20
-----Original Message-----=20
From: Lucas Lorenzo [mailto:lucas at cvrti.utah.edu]=20
Sent: Thursday, April 01, 2004 9:53 AM=20
To: ITK=20
Subject: [Insight-users] itk::PCAShapeSignedDistanceFunction=20
=20
Hi all,=20
=20
sorry for insisting but I do not give up yet.=20
Does anyone know of a fast, efficient way to get the indexes of those=20
pixels falling within a particular window (lets call them low_val and=20
high_val) from a PCAShapeSignedDistanceFunction ?=20
Thanks,=20
=20
Lucas=20
=20
Lucas Lorenzo=20
=20
University of Utah=20
Nora Eccles Harrison CardioVascular Research and Training Institute=20
Fellows Room=20
95 South 2000 East=20
Salt Lake City, UT 84112-5000=20
=20
e-mail: lucas at cvrti.utah.edu=20
telephone: 801-587-9536=20
=20
_______________________________________________=20
Insight-users mailing list=20
Insight-users at itk.org=20
http://www.itk.org/mailman/listinfo/insight-users=20
_______________________________________________=20
Insight-users mailing list=20
Insight-users at itk.org=20
http://www.itk.org/mailman/listinfo/insight-users=20
=20
Lucas Lorenzo=20
=20
University of Utah=20
Nora Eccles Harrison CardioVascular Research and Training Institute=20
Fellows Room=20
95 South 2000 East=20
Salt Lake City, UT 84112-5000=20
=20
e-mail: lucas at cvrti.utah.edu=20
telephone: 801-587-9536=20
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<div class=3DSection1>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><!-- Converted from text/enriched =
format -->Ok,
I think I have a solution.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>The <span =
class=3DSpellE>FloodFilledSpatialFunctionConditionalIterator</span>
might be the answer.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>Basically, this <span =
class=3DSpellE>iterator</span>
starts at a user specify seed point(s) and only explore the pixels for =
which a <span
class=3DSpellE>SpatialFunction</span> returns a non-zero =
value.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>Note that this will only visits the =
pixels
which are connected (via the <span class=3DSpellE>SpatialFunction</span>
membership criteria) to the seed point. So if the region you desired is
composed of several separate regions, you will need at lease one seed =
point per
region.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>To use this <span =
class=3DSpellE>iterator</span>
the way you want, you would need to wrap the <span =
class=3DSpellE>PCAShapeSignedDistanceFunction</span>
into another <span class=3DSpellE>SpatialFunction</span> that returns =
true if the
distance is within [<span class=3DSpellE>low_val</span>, <span =
class=3DSpellE>high_val</span>]
and false otherwise.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>I have just created such a class =
<span
class=3DSpellE>BinaryThresholdSpatialFunction</span> and checked it into =
<span
class=3DSpellE>cvs</span>.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>The test <span =
class=3DSpellE>itkBinaryThresholdSpatialFunction</span>
illustrates how to connect up a <span =
class=3DSpellE>ShapeSignedDistanceFunction</span>
(the test uses the simpler sphere function – but the mechanism is =
the
same) and how it can be used in conjunction with the <span =
class=3DSpellE>FloodFilledSpatialFunctionConditionalIterator</span>.<o:p>=
</o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>Check it =
out.<o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'>-</span></font><st1:country-region><=
st1:place><font
size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;font-family:Arial;
color:navy'>Lydia</span></font></st1:place></st1:country-region><font =
size=3D2
color=3Dnavy face=3DArial><span =
style=3D'font-size:10.0pt;font-family:Arial;
color:navy'><o:p></o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=3DMsoNormal><font size=3D2 color=3Dnavy face=3DArial><span =
style=3D'font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div style=3D'border:none;border-left:solid blue 1.5pt;padding:0in 0in =
0in 4.0pt'>
<p class=3DMsoNormal><font size=3D2 face=3DTahoma><span =
style=3D'font-size:10.0pt;
font-family:Tahoma'>-----Original Message-----<br>
<b><span style=3D'font-weight:bold'>From:</span></b> Lucas Lorenzo
[mailto:lucas at cvrti.utah.edu] <br>
<b><span style=3D'font-weight:bold'>Sent:</span></b> Thursday, April 01, =
2004
11:09 AM<br>
<b><span style=3D'font-weight:bold'>To:</span></b> Lydia Ng<br>
<b><span style=3D'font-weight:bold'>Cc:</span></b> ITK<br>
<b><span style=3D'font-weight:bold'>Subject:</span></b> Re: =
[Insight-users]
itk::PCAShapeSignedDistanceFunction</span></font></p>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Thanks Lydia, <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>what I'm doing right now is using an<font color=3Dblack><span
style=3D'color:black'> ImageConstIteratorWithIndex</span></font> to =
iterate over
a FeatureImageType image and at each iteration step I'm getting the =
index
(GetIndex()) so as to evaluate the PCAShapeSignedDistanceFunction. Then, =
if the
signe distance function value is within the window I've already defined, =
I
perform other operations using the FeatureImage values. =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>So, the previous process works but very slowly. =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Is there a way to iterate directly over the
PCAShapeSignedDistanceFunction, getting the index ONLY when the signed =
distance
value is within the window (calling this way method GetIndex() a few =
times) ?
This way I assume the process would be much faster. =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Thanks, <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Lucas <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal style=3D'margin-bottom:12.0pt'><font size=3D3
face=3D"Times New Roman"><span =
style=3D'font-size:12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>On Apr 1, 2004, at 11:54 AM, Lydia Ng wrote: =
<o:p></o:p></span></font></p>
</div>
<blockquote style=3D'margin-top:5.0pt;margin-bottom:5.0pt'>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Lucas, <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>I don't believe there is apart from polling one pixel at a time. =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Even if you use a combination of filters =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>SpatialFunctionImageEvaluatorFilter->BinaryThresholdImageFilte=
r you
will <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>still need to eventually visit every pixel to find which is =
within
range. <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>- Lydia <o:p></o:p></span></font></p>
</div>
<blockquote style=3D'margin-top:5.0pt;margin-bottom:5.0pt'>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>-----Original Message----- <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>From: Lucas Lorenzo [mailto:lucas at cvrti.utah.edu] =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Sent: Thursday, April 01, 2004 9:53 AM =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>To: ITK <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Subject: [Insight-users] itk::PCAShapeSignedDistanceFunction =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Hi all, <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>sorry for insisting but I do not give up yet. =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Does anyone know of a fast, efficient way to get the indexes of =
those <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>pixels falling within a particular window (lets call them =
low_val and <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>high_val) from a PCAShapeSignedDistanceFunction ? =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Thanks, <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Lucas <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Lucas Lorenzo <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>University of Utah <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Nora Eccles Harrison CardioVascular Research and Training =
Institute <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Fellows Room <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>95 South 2000 East <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Salt Lake City, UT 84112-5000 <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>e-mail: lucas at cvrti.utah.edu <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>telephone: 801-587-9536 <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>_______________________________________________ =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Insight-users mailing list <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Insight-users at itk.org <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>http://www.itk.org/mailman/listinfo/insight-users =
<o:p></o:p></span></font></p>
</div>
</blockquote>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>_______________________________________________ =
<o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Insight-users mailing list <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Insight-users at itk.org <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>http://www.itk.org/mailman/listinfo/insight-users =
<o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
</blockquote>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Lucas Lorenzo <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>University of Utah <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Nora Eccles Harrison CardioVascular Research and Training =
Institute <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Fellows Room <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>95 South 2000 East <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>Salt Lake City, UT 84112-5000 <o:p></o:p></span></font></p>
</div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'><o:p> </o:p></span></font></p>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>e-mail: lucas at cvrti.utah.edu <o:p></o:p></span></font></p>
</div>
<div>
<p class=3DMsoNormal><font size=3D3 face=3D"Times New Roman"><span =
style=3D'font-size:
12.0pt'>telephone: 801-587-9536 <o:p></o:p></span></font></p>
</div>
</div>
</div>
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