On Procrustes Analysis in Hyperbolic Space

Autor:	Tabaghi, Puoya, Dokmanic, Ivan
Rok vydání:	2021
Předmět:	Electrical Engineering and Systems Science - Signal Processing
Druh dokumentu:	Working Paper
DOI:	10.1109/LSP.2021.3081379
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.03723 Zobrazit plný text záznamu View this record from Arxiv