On Procrustes Analysis in Hyperbolic Space

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 is...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Authors: Tabaghi, Puoya, Dokmanic, Ivan
Format: Article
Language:English
Subjects:
Noise measurement
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2102.03723