[Insight-users] Thin plate splines

[Lisa Dean]

Hi Kerstin,

The paper you mentioned is the one that I had said about. Its on EBS, not
TPS.

Also that doesn't tell me why TPS  has beeen implemented in ITK the way it
is, the optimizer preferred for instance and the fact that TPS has not been
integrated into the registration framework already present in ITK.

Thanks a lot

Lisa

On 10 May 2012 13:07, Kerstin Müller <kerstin.mueller612 at googlemail.com>wrote:

> 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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