Title: General n-dimensional rotations
Authors: Aguilera, Antonio
Peréz-Aguila, Ricardo
Citation: WSCG '2004: Short Communications: the 12-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2004, 2.-6. February 2004 Plzeň, p. 1-8.
Issue Date: 2004
Publisher: Václav Skala - UNION Agency
Document type: konferenční příspěvek
conferenceObject
URI: http://wscg.zcu.cz/WSCG2004/Papers_2004_Short/N29.pdf
http://hdl.handle.net/11025/6178
ISBN: 80-903100-5-2
Keywords: n-dimenzionální rotace;geometrické uvažování;4D vizualizace;4D animace
Keywords in different language: n-dimensional rotations;geometric reasoning;4D visualization;4D animation
Abstract: 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.
Rights: © Václav Skala - UNION Agency
Appears in Collections:WSCG '2004: Short Communications

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