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List:       insight-users
Subject:    Re: [Insight-users] help,  about 3D surface interpolation
From:       Ghassan Hamarneh <hamarneh () gmail ! com>
Date:       2008-04-30 22:48:23
Message-ID: 34666D6A-270A-4508-8D41-F7E411F2C1EC () gmail ! com
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This might also be useful
GeoInterp: Contour Interpolation with Geodesic Snakes
http://www.insight-journal.org/midas/view_item.php?itemid=512
/ghassan
On 30-Apr-08, at 1:45 PM, Luis Ibanez wrote:

>
> Hi Kun,
>
> What is the genus of the surface that you plan to obtain ?
>
> Is it homologous to a Sphere ?
>
> If so, one thing you could do is to use the conformal mapping
> to a sphere, do a spherical Delaunay triangulation, and then
> map back to the original space.
>
> It may be possible to do this by mapping to a plane, perform
> Delaunay triangulation in the plane and then mapping back to
> the original space.
>
> You may want to take a look at the following paper in the
> Insight Journal:
>
> http://insight-journal.org/InsightJournalManager/view_reviews.php?pubid=112
>
>
> The source code of this method is currently available in the
> directory:
>
>   Insight/Code/Review/itkConformalFlatteningMeshFilter.h
>
>
>
>
>  Regards,
>
>
>     Luis
>
>
>
> ----------------
> Kun wrote:
>> Hi,all
>> I am a new ITK user. And now I am trying to do some 3D surface  
>> interpolation with ITK. The situation is like below:
>> Suppose there is a 3D object, which contains many points(maybe  
>> 2000) on its surface Now I have known part points( suppose 1500) on  
>> the surface, so the surface should be open.
>> Then how can I do the interpolation on the surface to make it close ?
>> Is there any code in ITK to solve this problem ?
>> Would somebody  help me? Thanks a lot.
>> Best Regards.
>> Kun
>>   
>> ------------------------------------------------------------------------
>> _______________________________________________
>> Insight-users mailing list
>> Insight-users@itk.org
>> http://www.itk.org/mailman/listinfo/insight-users
> _______________________________________________
> Insight-users mailing list
> Insight-users@itk.org
> http://www.itk.org/mailman/listinfo/insight-users


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<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; \
-webkit-line-break: after-white-space; "><span class="Apple-style-span" \
style="font-family: arial; font-size: 16px; "><div id="res" style="color: rgb(0, 0, \
0); font-family: arial, sans-serif; "><div style="color: rgb(0, 0, 0); font-family: \
arial, sans-serif; "><div class="g" style="color: rgb(0, 0, 0); font-family: arial, \
sans-serif; margin-top: 1em; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; \
"><br></div><div class="g" style="color: rgb(0, 0, 0); font-family: arial, \
sans-serif; margin-top: 1em; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; \
">This might also be useful</div><div class="g" style="color: rgb(0, 0, 0); \
font-family: arial, sans-serif; margin-top: 1em; margin-right: 0px; margin-bottom: \
1em; margin-left: 0px; ">GeoInterp: Contour Interpolation with Geodesic \
Snakes</div><div class="g" style="color: rgb(0, 0, 0); font-family: arial, \
sans-serif; margin-top: 1em; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; \
"><a href="http://www.insight-journal.org/midas/view_item.php?itemid=512">http://www.insight-journal.org/midas/view_item.php?itemid=512</a></div><div \
class="g" style="color: rgb(0, 0, 0); font-family: arial, sans-serif; margin-top: \
1em; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; \
">/ghassan</div></div></div></span><div><div>On 30-Apr-08, at 1:45 PM, Luis Ibanez \
wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite"><br>Hi \
Kun,<br><br>What is the genus of the surface that you plan to obtain ?<br><br>Is it \
homologous to a Sphere ?<br><br>If so, one thing you could do is to use the conformal \
mapping<br>to a sphere, do a spherical Delaunay triangulation, and then<br>map back \
to the original space.<br><br>It may be possible to do this by mapping to a plane, \
perform<br>Delaunay triangulation in the plane and then mapping back to<br>the \
original space.<br><br>You may want to take a look at the following paper in \
the<br>Insight Journal:<br><br><a \
href="http://insight-journal.org/InsightJournalManager/view_reviews.php?pubid=112">htt \
p://insight-journal.org/InsightJournalManager/view_reviews.php?pubid=112</a><br><br><br>The \
source code of this method is currently available in the<br>directory:<br><br> \
&nbsp;&nbsp;Insight/Code/Review/itkConformalFlatteningMeshFilter.h<br><br><br><br><br> \
&nbsp;Regards,<br><br><br> \
&nbsp;&nbsp;&nbsp;&nbsp;Luis<br><br><br><br>----------------<br>Kun \
wrote:<br><blockquote type="cite">Hi,all<br></blockquote><blockquote type="cite">I am \
a new ITK user. And now I am trying to do some 3D surface interpolation with ITK. The \
situation is like below:<br></blockquote><blockquote type="cite">Suppose there is a \
3D object, which contains many points(maybe 2000) on its surface Now I have known \
part points( suppose 1500) on the surface, so the surface should be \
open.<br></blockquote><blockquote type="cite">Then how can I do the interpolation on \
the surface to make it close ?<br></blockquote><blockquote type="cite"> Is there any \
code in ITK to solve this problem ?<br></blockquote><blockquote type="cite">Would \
somebody &nbsp;help me? Thanks a lot.<br></blockquote><blockquote type="cite">Best \
Regards.<br></blockquote><blockquote type="cite">Kun<br></blockquote><blockquote \
type="cite"> &nbsp;------------------------------------------------------------------------<br></blockquote><blockquote \
type="cite">_______________________________________________<br></blockquote><blockquote \
type="cite">Insight-users mailing list<br></blockquote><blockquote \
type="cite">Insight-users@itk.org<br></blockquote><blockquote \
type="cite">http://www.itk.org/mailman/listinfo/insight-users<br></blockquote>_______________________________________________<br>Insight-users \
mailing list<br>Insight-users@itk.org<br>http://www.itk.org/mailman/listinfo/insight-users<br></blockquote></div><br></body></html>




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