Open Access
VOL. 1 | 2000 Quaternions and Rotation Sequences
Chapter Author(s) Jack B. Kuipers
Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber
Geom. Integrability & Quantization, 2000: 127-143 (2000) DOI: 10.7546/giq-1-2000-127-143

Abstract

In this paper we introduce and define the quaternion; we give a brief introduction to its properties and algebra, and we show (what appears to be) its primary application—the quaternion rotation operator. The quaternion rotation operator competes with the conventional matrix rotation operator in a variety of rotation sequences.

Information

Published: 1 January 2000
First available in Project Euclid: 5 June 2015

zbMATH: 0993.53005
MathSciNet: MR1758157

Digital Object Identifier: 10.7546/giq-1-2000-127-143

Rights: Copyright © 2000 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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