[Insight-users] Understanding why the direction of the transform mapping is from fixed to moving image

Luis Ibanez luis.ibanez at kitware.com
Mon Aug 17 10:28:56 EDT 2009


Hi Anja,
This is explained in detail in the ITK Software Guide

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

in Chapter 8 : "Image  Registration",
specifically in Section 8.3 "Features of the Registration Framework",
and

      Section 8.3.1. "Direction of the Transform Mapping"
      in pdf-pages 359-360.


Please read this section carefully and let us know if you
still have any questions.


      Thanks


            Luis



---------------------
On Mon, Aug 17, 2009 at 6:34 AM, Anja Ende <anja.ende at googlemail.com> wrote:

> Hello everyone,
>
> I was going through the ITK software guide and came across this bit:
>
> "If we have used the Transform that maps coordinates from the moving
> image physical space
> into the fixed image physical space, then the resampling process could
> not guarantee that every
> pixel in the grid of the fixed image was going to receive one and only
> one value".
>
> I am having a bit of problem understanding why this would be the case.
> So, we have a transform (the inverse of the transform from
> fixed->moving) that will map each point in the moving image to each
> physical point in the fixed image. I am not sure how the unambiguity
> of the fixed image pixel not receiving one and only one value arises.
>
> Would anyone be kind enough to explain this a bit?
>
> many thanks,
>
> Anja
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