Pairwise rigid registration based on Riemannian geometry and Lie structures of orientation tensors

DOI10.1007/s10851-021-01037-zOpenAlexW3165785527WikidataQ114226033 ScholiaQ114226033MaRDI QIDQ2051543

Liliane Rodrigues de Almeida, Gilson Antonio Giraldi, Marcelo Bernardes Vieira, Gastão Florêncio jun. Miranda

Publication date: 24 November 2021

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-021-01037-z

zbMATH Keywords

Lie groupsLie algebrasiterative closest pointrigid registrationorientation tensorsCTSF

Mathematics Subject Classification ID

Computer science (68-XX) Information and communication theory, circuits (94-XX)

Uses Software

• Go-ICP
• 3DMatch
• TEASER++

Cites Work

• Information geometry and its applications
• Non-Euclidean statistics for covariance matrices, with applications to diffusion tensor imaging
• Metrics for 3D rotations: comparison and analysis
• Multivariate normal distributions parametrized as a Riemannian symmetric space
• A distance between multivariate normal distributions based in an embedding into the Siegel group
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