Arithmetic and geometric solutions for average rigid-body rotation

DOI10.1016/j.mechmachtheory.2010.05.002zbMath1359.70070OpenAlexW1993102835MaRDI QIDQ994177

Inna Sharf, Alon Wolf, M. B. Rubin

Publication date: 17 September 2010

Published in: Mechanism and Machine Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechmachtheory.2010.05.002

zbMATH Keywords

rigid bodyquaternionrotation vectorrotation matrixEuclideanRiemannianaverage rotation

Mathematics Subject Classification ID

Dynamics of multibody systems (70E55)

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Cites Work

• Real time motion fairing with unit quaternions
• Means and Averaging in the Group of Rotations
• Geometric optimization algorithims for robot kinematic design
• Using Orientation Statistics to Investigate Variations in Human Kinematics
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
• On averaging rotations
• Unnamed Item

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