Vector decomposition of finite rotations

DOI10.1016/S0034-4877(11)60030-XzbMath1241.70012OpenAlexW2095012432MaRDI QIDQ429244

Ivaïlo M. Mladenov, Clementina D. Mladenova

Publication date: 26 June 2012

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(11)60030-x

zbMATH Keywords

rigid body motionFedorov-Gibbs-Rodrigues vectorthree-dimensional rotation group

Mathematics Subject Classification ID

Free motion of a rigid body (70E15)

Related Items (3)

Rotations in \(\mathbb{R}^3\) and their parametric representations ⋮ Cayley map for symplectic groups ⋮ Geometric characterization of the workspace of non-orthogonal rotation axes

Cites Work

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• Group theoretical approaches to vector parameterization of rotations
• Olinde Rodrigues' paper of 1840 on transformation groups
• On representations and parameterizations of motion
• Relation between rigid-body motion, isotropic cones, and spinors
• Rotation angles
• Group theory in the problems of modeling and control of multi-body systems
• Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
• Rotations about nonorthogonal axes.

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