<html><head></head><body bgcolor="#FFFFFF"><div>Hi Brecht,</div><div><br></div><div>Sure, I''m happy to send you this information and follow up with fruitful email discussions. I am sure we can all learn from each other. I'll read the paper by Rueckert so we will all be on the same page.</div><div><br></div><div>Take care,</div><div>John</div><div><br></div><div>John Drozd, Ph.D.</div><div><br></div><div>Post-Doctoral Scholar (Fellow)</div><div>Robarts Research Institute</div><div>Western University</div><div>London, ON, Canada</div><div><br></div><div>Cell: 519-282-3340</div><div><a href="http://publish.uwo.ca/~jdrozd2">http://publish.uwo.ca/~jdrozd2</a></div><div><a href="mailto:jdrozd@imaging.robarts.ca">jdrozd@imaging.robarts.ca</a></div><div><br>Sent from my iPhone 4S</div><div><br>On 2012-05-07, at 8:17 AM, "Brecht Heyde" <<a href="mailto:Brecht.Heyde@med.kuleuven.be">Brecht.Heyde@med.kuleuven.be</a>> wrote:<br><br></div><div></div><blockquote type="cite"><div>
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<div class="Section1">
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Hi John,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">I just saw this mailing pass by. I would be interested as well
to receive some more information on splines (and B-splines in particular?),
easily to digest, but also providing enough in-depth background.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">I checked the book that you proposed, but it is mainly on spline
interpolation, or am I wrong here? I'm using tensor-product B-splines to
parametrize my displacement field in image registration applications (you might
be familiar with this, Rueckert et al. 1999 Trans Med Imaging).<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Would you be able to mail me a copy of those scans as well? Many
thanks!<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Best regards,<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Brecht<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">--<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Brecht Heyde, PhD Candidate<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Cardiovascular Imaging and Dynamics</span><span lang="EN-GB" style="font-size:10.0pt;font-family:"Calibri","sans-serif";color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Dept. of Cardiovascular Disease<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"> <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Medical Imaging Center - University Hospital Gasthuisberg<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Herestraat 49, bus 7003<br>
3000 Leuven, Belgium<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Phone: +32 16 34 90 60<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Fax: +32 16 34 37 65<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D">Email: </span><span style="color:#1F497D"><a href="mailto:brecht.heyde@med.kuleuven.be"><span lang="EN-US" style="font-size:
10.0pt;font-family:"Calibri","sans-serif";color:#1F497D">brecht.heyde@med.kuleuven.be</span></a></span><span lang="EN-US" style="font-size:10.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";
color:#1F497D"><o:p> </o:p></span></p>
<div>
<div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span lang="EN-US" style="font-size:10.0pt;font-family:
"Tahoma","sans-serif"">From:</span></b><span lang="EN-US" style="font-size:10.0pt;
font-family:"Tahoma","sans-serif""> <a href="mailto:insight-users-bounces@itk.org">insight-users-bounces@itk.org</a>
[mailto:insight-users-bounces@itk.org] <b>On Behalf Of </b>John Drozd<br>
<b>Sent:</b> maandag 7 mei 2012 13:12<br>
<b>To:</b> SELMA GÜZEL<br>
<b>Cc:</b> <a href="mailto:insight-users@itk.org">insight-users@itk.org</a><br>
<b>Subject:</b> Re: [Insight-users] Splines<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal">Hi Selma,<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">You're welcome. I am glad I could help.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">I also have a nice Numerical Analysis textbook and
instructor's solutions manual in my office. I was a TA for this course on
numerical analysis that my Ph.D. Supervisor taught. When I get to my
office, I will scan the pertinent pages on Splines and email you a PDF
attachment. I am an Applied Mathematician & Theoretical Physicist
with a Computer Science background so I have a lot of this information. I
have included my contact information below.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Take care,<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">John<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">John Drozd, Ph.D.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Post-Doctoral Scholar (Fellow)<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">Robarts Research Institute<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">Western University<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">London, ON, Canada<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">cell: 519-282-3340<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><a href="http://publish.uwo.ca/~jdrozd2">http://publish.uwo.ca/~jdrozd2</a><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><a href="mailto:jdrozd@imaging.robarts.ca">jdrozd@imaging.robarts.ca</a><o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Sent from my iPhone 4S<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="margin-bottom:12.0pt"><br>
On 2012-05-07, at 4:57 AM, SELMA GÜZEL <<a href="mailto:slm_guzel@hotmail.com">slm_guzel@hotmail.com</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal">Hi John,<o:p></o:p></p>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">I have checked the resource. It seems useful.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Thank you.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal" style="margin-bottom:12.0pt"><o:p> </o:p></p>
<div>
<div class="MsoNormal" align="center" style="text-align:center">
<hr size="3" width="100%" align="center" id="stopSpelling">
</div>
<p class="MsoNormal" style="margin-bottom:12.0pt">CC: <a href="mailto:insight-users@itk.org">insight-users@itk.org</a><br>
From: <a href="mailto:john.drozd@gmail.com">john.drozd@gmail.com</a><br>
Subject: Re: [Insight-users] Splines<br>
Date: Sat, 5 May 2012 19:28:52 -0400<br>
To: <a href="mailto:slm_guzel@hotmail.com">slm_guzel@hotmail.com</a><o:p></o:p></p>
<div>
<p class="MsoNormal">A nice resource for splines is Numerical Recipies in C. It
briefly describes the theory and gives the C code. The PDF is available
free online.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">John<br>
<br>
Sent from my iPhone 4S<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal" style="margin-bottom:12.0pt"><br>
On 2012-05-05, at 6:20 PM, SELMA GÜZEL <<a href="mailto:slm_guzel@hotmail.com">slm_guzel@hotmail.com</a>> wrote:<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<div>
<div>
<p class="MsoNormal">Hello, <o:p></o:p></p>
<div>
<div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">I need a good resource for understanding splines very well.
In fact, I studied different resources but something is not clear enough for me.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">For example, when we use piecewise cubic splines, we find an
equation for each curve segment corresponding the local segments of a shape, am
I correct?<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">Then, how can we calculate a general function that we can
use for any segment at the end? Or, do we transform each part separately,
namely use each curve segment equation for a point within that local part? Are
the weighted mean approach used for this problem? If yes, how can we calculate
the weights for each part?<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">My mathematical background is not sufficient to comprehend
all aspects, could you explain splines including TPS a bit? And/or could you
recommend some good resources to understand splines from the point of image
registration?<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal">Thanks in advance.<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">Best regards,<o:p></o:p></p>
</div>
<div>
<p class="MsoNormal">Selma <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal"> <o:p></o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
<div>
<p class="MsoNormal"><o:p> </o:p></p>
</div>
</div>
</div>
</div>
</div>
</blockquote>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
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