Automatic Registration reverse vectors

I am interested in procuring an algorithm than can look at a serial section stack and calculate the reverse alignment vectors between each slice, and enter these vectors into a matrix.
THe serial stack will be intensity only images.
These vectors can be rotational and/ or translational.
thanks!

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I don't think I catch how this would be different than standard image registration ?
There are some algorithms that would execute the transformation, that is, perform the registration, but not output the rotation or translation vector, eg -34 degrees or -56 x or 900 y!

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