[Insight-users] Some Questions About the virtual domain in the ImageToimageMetricv4

[brian avants]

briefly, the virtual domain evaluates an image difference metric as:

    J - fixed image

    K - moving image

    x - a point in the virtual domain

    \|   J (  T_fixed( x )  )   -   K ( T_moving(x) ) \|^2

 By default T_fixed( x ) is the identity and T_moving is what you
optimize.  Other metrics are implemented in the same way.

This lets the user :

 1 ) control the resolution @ which registration is performed ... e.g.
to implement multi-resolution approaches by setting the virtual domain
to be smaller than the domain of J.

 2 )  allows the fixed image to have a transform as well.   for
instance, when the image registration is performed in an unbiased
space.

This also lets one minimize the number of interpolation / downsampling
operations.

brian




On Tue, Jan 22, 2013 at 5:02 AM, Champ Frédéric <champ at unistra.fr> wrote:
> Hi,
>
> For a 3D registrations with the framework v4:
>
> - What exactly does the virtual domain ?
> - Does it necessary to specify it if the moving and fixed regions are
> different ?
>
> Fred
>
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