[Community] [Insight-users] computing second derivative of deformation fields

[Anja Ende]

Hello all,

I am trying to code some registration stuff from scratch using itk. So, I
have a dense deformation field and I can compute various similarity
measures and now I want to regularize the deformation to ensure smooth
deformations.

>From the literature, it seems one of the simple things to do is penalize
the magnitude of the second derivative of the deformation. I see there are
gradient filters available and I guess for the second derivative, I can
pass the deformation field image to two gradient filters in succession and
then compute the magnitude. However, I would like to use a mask in my
computation. So areas under the mask should only be used and forward or
backward differences should only be used at the edges, as appropriate.

Is there a way to achieve this through existing filters?

Thank you for any help you can give me.


Cheers,

Anja
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