Rotations in \(\mathbb{R}^3\) and their parametric representations

DOI10.7546/giq-21-2020-186-220zbMath1476.53032OpenAlexW3092555542MaRDI QIDQ1980275

Clementina D. Mladenova, Ivaïlo M. Mladenov

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-186-220

zbMATH Keywords

rotation grouprotational motionsquaternionic, spinorial and vector kinematics

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17) Applications of differential geometry to sciences and engineering (53Z99)

Cites Work

• Vector decomposition of finite rotations
• Group theoretical approaches to vector parameterization of rotations
• Euler's fixed point theorem: The axis of a rotation
• Robotic problems over a configurational manifold of vector parameters and dual vector parameters
• Applications of Lie group theory to the modeling and control of multibody systems
• Group theory in the problems of modeling and control of multi-body systems
• Rotations with Rodrigues’ vector
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