[Insight-users] Splines

[John Drozd]

Hi Brecht,

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.

Take care,
John

John Drozd, Ph.D.

Post-Doctoral Scholar (Fellow)
Robarts Research Institute
Western University
London, ON, Canada

Cell: 519-282-3340
http://publish.uwo.ca/~jdrozd2
jdrozd at imaging.robarts.ca

Sent from my iPhone 4S

On 2012-05-07, at 8:17 AM, "Brecht Heyde" <Brecht.Heyde at med.kuleuven.be> wrote:

> Hi John,
>  
> 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.
> 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).
>  
> Would you be able to mail me a copy of those scans as well? Many thanks!
>  
> Best regards,
> Brecht
>  
> --
> Brecht Heyde, PhD Candidate
>  
> Cardiovascular Imaging and Dynamics
> Dept. of Cardiovascular Disease
>  
> Medical Imaging Center - University Hospital Gasthuisberg
> Herestraat 49, bus 7003
> 3000 Leuven, Belgium
>  
> Phone: +32 16 34 90 60
> Fax: +32 16 34 37 65
> Email: brecht.heyde at med.kuleuven.be
>  
>  
> From: insight-users-bounces at itk.org [mailto:insight-users-bounces at itk.org] On Behalf Of John Drozd
> Sent: maandag 7 mei 2012 13:12
> To: SELMA GÜZEL
> Cc: insight-users at itk.org
> Subject: Re: [Insight-users] Splines
>  
> Hi Selma,
>  
> You're welcome.  I am glad I could help.
> 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.
>  
> Take care,
> John
>  
> John Drozd, Ph.D.
>  
> Post-Doctoral Scholar (Fellow)
> Robarts Research Institute
> Western University
> London, ON, Canada
>  
> cell: 519-282-3340
> http://publish.uwo.ca/~jdrozd2
> jdrozd at imaging.robarts.ca
>  
> Sent from my iPhone 4S
> 
> On 2012-05-07, at 4:57 AM, SELMA GÜZEL <slm_guzel at hotmail.com> wrote:
> 
> Hi John,
>  
> I have checked the resource. It seems useful.
>  
> Thank you.
>  
>  
>  
> 
> CC: insight-users at itk.org
> From: john.drozd at gmail.com
> Subject: Re: [Insight-users] Splines
> Date: Sat, 5 May 2012 19:28:52 -0400
> To: slm_guzel at hotmail.com
> 
> 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.
>  
> John
> 
> Sent from my iPhone 4S
> 
> On 2012-05-05, at 6:20 PM, SELMA GÜZEL <slm_guzel at hotmail.com> wrote:
> 
> Hello,
>  
> I need a good resource for understanding splines very well. In fact, I studied different resources but something is not clear enough for me.
>  
> 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?
> 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?
>  
> 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?
>  
> Thanks in advance.
> Best regards,
> Selma
>  
>  
>  
>  
> _____________________________________
> Powered by www.kitware.com
> 
> Visit other Kitware open-source projects at
> http://www.kitware.com/opensource/opensource.html
> 
> Kitware offers ITK Training Courses, for more information visit:
> http://www.kitware.com/products/protraining.php
> 
> Please keep messages on-topic and check the ITK FAQ at:
> http://www.itk.org/Wiki/ITK_FAQ
> 
> Follow this link to subscribe/unsubscribe:
> http://www.itk.org/mailman/listinfo/insight-users
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://www.itk.org/pipermail/insight-users/attachments/20120507/e3588a47/attachment.htm>