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

This problem has a very elegant solution in terms of singular value decomposition of the proximity matrix (distances between pairs of points). The name of this is the orthogonal Procrustes problem, after the Greek legend about a fellow who offered travellers a bed that would fit anyone.

The solution comes from finding the nearest orthogonal matrix to a given (not necessarily orthogonal) matrix.