align one set of 2d points with another using only translation and rotation

Question

I\'m working in OpenCV but I don\'t think there is a function for this. I can find a function for finding affine transformations, but affine transformations include scaling, and

Answer 1

The way I would do it in Excel is to make a couple columns representing the points. Cells representing rotation/translation of a set (no need to rotate and translate both of them). Then columns representing those same points rotated/translated.
Then another column for the distance between the points of the rotated/translated points.
Then a cell of the sum of the distances between points. Finally, use Solver to optimize the rotation and translation cells.