 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
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| S. E. Perelyaev, "On the global parametrizations of a group of 3D rotations," Mech. Solids. 41 (3), 23-33 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
3 |
Pages |
23-33 |
| Title |
On the global parametrizations of a group of 3D rotations |
| Author(s) |
S. E. Perelyaev (Moscow) |
| Abstract |
Basic methods of the introduction of a global bijective
parametrization of the space of rigid body rotations are described and characterized (from the mathematical point of view, these are methods of the embedding of the group SO(3) into Rn). In addition to the well-known methods of nine-dimensional (using the matrix of direction cosines) and six-dimensional (using two columns of this matrix) parametrizations, a modified six-dimensional parametrization necessary for the description of the scarcely known five-dimensional Hopf parametrization is introduced and analyzed. A comparative analysis of different approaches to the global bijective
parametrization of the group SO(3) is carried out. |
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|
| Received |
24 March 2004 |
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