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math.OC2019
Characterization and Computation of Matrices of Maximal Trace over Rotations
Javier Bernal, Jim Lawrence
The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two corresponding sets of points in d-dimensional…
math.OC2019
A Purely Algebraic Justification of the Kabsch-Umeyama Algorithm
Jim Lawrence, Javier Bernal, Christoph Witzgall
The constrained orthogonal Procrustes problem is the least-squares problem that calls for a rotation matrix that optimally aligns two matrices of the same order. Over past decades,…