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Group theoretical approaches to vector parameterization of rotations

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Publication:608036
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zbMath1376.70007MaRDI QIDQ608036

Andreas Müller

Publication date: 8 December 2010

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jgsp/1495677870

zbMATH Keywords

angular velocity and accelerationcomputational aspectscovering group SU(2)group SO(3)representations of rotations using canonical coordinatesvector parameterization based on Cayley transformations


Mathematics Subject Classification ID

Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Motion of a rigid body with a fixed point (70E17)


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Singularity-free time integration of rotational quaternions using non-redundant ordinary differential equations, Vector decomposition of finite rotations, Rotations in \(\mathbb{R}^3\) and their parametric representations, Examples of Gibbs states of mechanical systems with symmetries, Comments on: ``Probability enhanced effective dimension reduction for classifying sparse functional data, Time integration of rigid bodies modelled with three rotation parameters



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