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作者:Danail S. Brezov
来源:[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid
摘要:The paper provides a pedagogical study on vectorial parameterizations first proposed by O. Rodrigues for the rotation group in $\mathbb{R}^3$ by means of the so-called Rodrigue’s vector. Although his technique yields significant advantages in both theoretical and applied con...
作者:Clementina D. Mladenova , Danail S. Brezov , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid
摘要:In the present paper we investigate an alternative two-axes decomposition method for rotations that has been proposed in our earlier research. It is shown to provide a convenient parametrization for many important physical systems. As an example, the kinematics of a rotating rigi...
作者:Danail S. Brezov , Clementina D. Mladenova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Eighteenth International Conference on Geometry, Integrability and Quantization2017Project Euclid
摘要:Here we develop a specific factorization technique for rotations in $\mathbb{R}^3$ into five factors about two or three fixed axes. Although not always providing the most efficient solution, the method allows for avoiding gimbal lock singularities and decouples the dependence on ...
作者:Danail S. Brezov , Clementina D. Mladenova , Ivaïlo M. Mladenov
来源:[C].Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization2014Project Euclid
摘要:Here we use an extension of Rodrigues' vectorparameter construction for pseudo-rotations in order to obtainexplicit formulae for the generalized Euler decompositionwith arbitrary axes for the structure groups in the classicalmodels of hyperbolic geometry. Although the constructio...

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