On Procrustes Analysis in Hyperbolic Space
Signal Processing
2021-07-07 v1
Abstract
Congruent Procrustes analysis aims to find the best matching between two point sets through rotation, reflection and translation. We formulate the Procrustes problem for hyperbolic spaces, review the canonical definition of the center of point sets, and give a closed form solution for the optimal isometry for noise-free measurements. We also analyze the performance of the proposed method under measurement noise.
Cite
@article{arxiv.2102.03723,
title = {On Procrustes Analysis in Hyperbolic Space},
author = {Puoya Tabaghi and Ivan Dokmanic},
journal= {arXiv preprint arXiv:2102.03723},
year = {2021}
}