[Insight-users] Splines

[John Drozd]

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
> 
>  
> 
> 
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