Abstract
The effective description of rotations has led to the development of numerous parameterization techniques presenting various properties and advantages, as described in the following review papers [239, 240, 241, 242, 243, 244, 245].Whether originating from geometric, algebraic, or matrix approaches, parameterization of rotation is most naturally categorized into two classes: vectorial and non-vectorial parameterizations. The former refers to parameterization in which a set of parameters, sometimes called rotational “quasi-coordinates,” define a geometric vector, whereas the latter cannot be cast in the form of a vector. These two types of parameterizations are sometimes denoted as invariant and non-invariant parameterization, respectively.
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© 2011 Springer Science+Business Media B.V.
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Bauchau, O.A. (2011). Parameterization of rotation. In: Flexible Multibody Dynamics. Solid Mechanics and Its Applications, vol 176. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0335-3_13
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DOI: https://doi.org/10.1007/978-94-007-0335-3_13
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