'[Insight-users] 3-D TPS Interpolation'

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List: insight-users
Subject: [Insight-users] 3-D TPS Interpolation
From: Kerstin_Müller <kerstin.mueller612 () googlemail ! com>
Date: 2011-12-19 8:29:40
Message-ID: CANvchAoFuLqhZaMy44swmzYT8yw5brjAiF9Ckhe9pa9kQ_ypWA () mail ! gmail ! com
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Hello everybody,

I'll have a question regarding the TPS interpolation in 3-D. I'm reading
the paper of Davis which is cited in the itk Documentation.

Is there a good explanation why the kernel matrix G considers only | r |
and not r^2 log(r) in 3-D ? I can't find a proper solution, why this holds.
And there are even both implementations in itk, but I'll get better results
with the first one.
Furthermore, how do i ensure that the points further away from the control
points are only affected by the affine transformation?

Thanks a lot for answering.

Best,

Kerstin

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Hello everybody, I&#39;ll have a question regarding the TPS 
interpolation in 3-D. I&#39;m reading the paper of Davis which is cited in 
the itk Documentation. Is there a good explanation why the kernel
 matrix G considers only | r | and not r^2 log(r) in 3-D ? I can&#39;t find a
 proper solution, why this holds. 
And there are even both implementations in itk, but I&#39;ll get better results with \
the first one. Furthermore, how do i ensure that the points further away from the \
control points are only affected by the affine transformation? 
 Thanks a lot for answering. Best, Kerstin

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