Regression and correlation for 3 × 3 rotation matrices

DOI10.1002/cjs.5550340201zbMath1142.62036OpenAlexW2072848950MaRDI QIDQ5443815

Louis-Paul Rivest, Theodore Chang

Publication date: 22 February 2008

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cjs.5550340201

zbMATH Keywords

rotationsquaternionsdirectional datajoint kinematics

Mathematics Subject Classification ID

Related Items (5)

Random change on a Lie group and mean glaucomatous projective shape change detection from stereo pair images ⋮ Statistics of ambiguous rotations ⋮ A nonlinear mixed effects directional model for the estimation of the rotation axes of the human ankle ⋮ Optimal designs for calibration of orientations ⋮ Directional naive Bayes classifiers

Cites Work

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• Permutation tests for directional data
• Sobolev tests for independence of directions
• Spherical regression for concentrated Fisher-von Mises distributions
• A statistical model for random rotations
• Using Orientation Statistics to Investigate Variations in Human Kinematics
• Orientation statistics
• Uniqueness, consistency and optimality in spherical regression experiments

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