[Insight-users] Affine transform - decomposition ?

[Roxana Racz]

Hello everyone,

I am working on a registration application.
I would like to display the **geometrically meaningful** components using 
the 12 parameters of the affine transform as returned by the registration 
routine. 

That is: from the 12 "raw" parameters returned by the registration algorithm 
employed, I need to be able to monitor the following quantities: 
1.translation(3), 
2.rotation(3), 
3.scaling(3), 
4.skew(?) and 
5.reflection(3?)

--- Does anyone know of a method based on itk? (it seems that vtk offers 
only the extraction of 1, 2, 3: GetPosition, GetOrientation, GetScale, all 
defined in vtkTransform.cxx).

--- Could anyone recommend a good reading on the underlying maths for this 
extractions? 
Thanks in advance,
 Roxana
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