•Full Procrustes Distance. DF
–min(s, q) ||U – sXR(q).|| That is, we find a scaling and rotation of X that minimizes the euclidean distance to U.
(R(q) means rotate by q).
•Partial Procrustes Distance. DP
–min(q) ||U – XR(q)||. That is, rotate X to minimize
the euclidean distance to U.
•Procrustes Distance.
r
–Rotate X to minimize the geodesic distance on the sphere from X to U.