General n-Dimensional Rotations

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General n-Dimensional Rotations
This paper presents a generalized approach for performing general rotations in the n-Dimensional Euclidean space around any arbitrary (n-2)-Dimensional subspace. It first shows the general matrix representation for the principal n-D rotations. Then, for any desired general n-D rotation, a set of principal n-D rotations is systematically provided, whose composition provides the original desired rotation. We show that this coincides with the well-known 2D and 3D cases, and provide some 4D applications. Keywords Geometric Reasoning, Topological and Geometrical Interrogations, 4D Visualization and Animation.
Antonio Aguilera, Ricardo Pérez-Aguila
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2004
Where WSCG
Authors Antonio Aguilera, Ricardo Pérez-Aguila
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