Density-robust S² coordinates are obtained by rejection-sampling uniform subsamples, computing classical spherical coordinates on each, and aligning them via a spherical Procrustes problem with a proven Euclidean relaxation.
A General Solution to Orthogonal Procrustes Problems
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Density-Robust Spherical Coordinates from Persistent Cohomology
Density-robust S² coordinates are obtained by rejection-sampling uniform subsamples, computing classical spherical coordinates on each, and aligning them via a spherical Procrustes problem with a proven Euclidean relaxation.