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.

• Type: Conference
• Year: 2004
• Where: WSCG
• Authors: Antonio Aguilera, Ricardo Pérez-Aguila
• Keywords: General N-D Rotation, N-d Rotations, Principal N-D Rotations, WSCG 2004