Find geometric transformation between a pair of images : does imwarp take into account the translation?

Hi,

I am a beginner in Matlab and try to find the rotation + translation that exists between my two images (because my sample moves slighlty under the miscrocope).

I tried to use the code of the example described here : https://au.mathworks.com/help/vision/examples/find-image-rotation-and-scale-using-automated-feature-matching.html

My question: Is the translation also taking into account for the recovered picture? Because as

scaleRecovered = sqrt(ssss + scsc) ; thetaRecovered = atan2(ss,sc)*180/pi
and

Tinv = [sc -ss  0;
              ss  sc  0;
              tx  ty  1]

where tx and ty are x and y translations, respectively, I may think that tx and ty are not taken into account for the recovered image.

In this line, I could think that everything (rotation + translation) is taking into account via tform.

recovered  = imwarp(distorted,tform,'OutputView',outputView);

In my case I have :

T inv = 
  1.00023168623406  -0.000123052555266618   0
  0.000123052555266618  1.00023168623406    0
  -0.184933876743564    -0.914678514629892  1

Also how could I calculate a "translationRecovered" as my thetaRecovered?

Thank you for your help! Aude