Originally, this problem questioned ways of finding orthogonal transformation between two matrices. Maybe that doesn't sound relevant to real computer vision applications, but that feeling may change when you consider the fact that a set of points is indeed a matrix. Camera calibration, rigid body transformations, photogrammetry issues, and many other tasks require solving of the orthogonal Procrustes problem. In this recipe, we find a solution to the simple task of estimation point set rotation and examine how our solution is influenced by noisy input data.
The orthogonal Procrustes problem
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