[ITK-users] [ITK Community] [Insight-users] Constraining deformable registration to a single dimension

[Luis Ibanez]

Hi Sven,


The BSpline parameters are composed of a linear array of
vector components, from each one of the BSpline Grid point.

So, Let's say that in a 2D example,
a BSpline grid has 30 x 20 nodes.

30 along X
20 along Y

For a total of 30x20 = 600 nodes.

then,
at every one of those nodes,
we will compute a 2D vector that has X, Y components.

This will be the displacement vector that maps the coordinates
of the fixed image to the coordinate system of the moving image.

So, the Parameter Array of the BSpline will be composed of
the following values

X0,Y0,X1, Y1, X2, Y2, X3, Y3........   X598,Y598, X599, Y599


Where the numbers from 0 to 599 are the identifiers of a given
grid node, and X,Y, are the components of the displacement
vector at that node.

You could use the ParameterScales array to mitigate the values
of one of the parameters corresponding to the dimension that
you don't want to change.

You will find more details about this in the ITK Software Guide

        http://www.itk.org/ItkSoftwareGuide.pdf


Please let us know if you have more questions.

   Thanks

       Luis



On Sun, Mar 16, 2014 at 3:14 AM, Prevrhal, Sven
<Sven.Prevrhal at philips.com>wrote:

>  I have put together a pipeline with RegularStepGradientDescentOptimizer,
> , MeanSquaresImageToImageMetric, LinearInterpolateImageFunction and a
> BSplineTransform  and LBFGSBOptimizer and would like to constrain it such
> that the transform only applies to a single dimension. I think I need to be
> enlightened about the BSpline Transform parameters. My conjecture is that
> once I know their meaning, constraining the ones that relate to the
> dimensions which shouldn’t move via the LBFGSBOptimizer is easy.
>
>
>
> Thanks, Sven
>
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