Procrustes Analysis with Deformations: A Closed-Form Solution by Eigenvalue Decomposition. (arXiv:2206.14528v1 [cs.RO])

Generalized Procrustes Analysis (GPA) is the problem of bringing multiple
shapes into a common reference by estimating transformations. GPA has been
extensively studied for the Euclidean and affine transformations. We introduce
GPA with deformable transformations, which forms a much wider and difficult
problem. We specifically study a class of transformations called the Linear
Basis Warps (LBWs), which contains the affine transformation and most of the
usual deformation models, such as the Thin-Plate Spline (TPS). GPA with
deformations is a nonconvex …

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