Aligning one matrix with another
Read OriginalThis technical article details the orthogonal Procrustes problem, which involves finding an orthogonal matrix Ω that minimizes the Frobenius norm distance between two matrices A and ΩB. It explains the mathematical background, degrees of freedom, and presents Peter Schönemann's 1964 solution using Singular Value Decomposition (SVD). The article includes a practical Python code example using NumPy to compute the solution and verify the orthogonality of the result.
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