[Insight-users] Thin plate splines

[Kerstin Müller]

Hi Lisa,

the implementation details of the TPS is explained in the TMI Paper of
Davis et al.
*"A Physics-Based Coordinate Transformation
for 3-D Image Matching"*

There you can find the details how the coefficients and the affine
parameters are estimated based on a linear equation system solved via SVD.

Best,

Kerstin

2012/5/10 Lisa Dean <lisadean.leo at gmail.com>

>
>
> Hi List Users,
>
>
> I know I've asked this many times but I haven't got a satisfactory answer
> yet.  The thin plate splines implementation in ITK seems really confusing,
> atleast to me. I tried reading the paper referenced in the implementation
> but that paper is on Elastic Body Splines. I went through the txx files as
> well. Could somebody explain the TPS implementation to me? Why cannot the
> TPS be used as the transform in ICP and why does the TPS require the Amoeba
> optimizer specifically?
>
> Thanks a lot
>
> Lisa
>
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