Proceedings of the International Conference on Geometry, Integrability and Quantization

Quaternions and Rotation Sequences

Jack B. Kuipers

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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.

Article information

Source
Proceedings of the International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2000), 127-143

Dates
First available in Project Euclid: 5 June 2015

Permanent link to this document
http://projecteuclid.org/ euclid.pgiq/1433524882

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

Mathematical Reviews number (MathSciNet)
MR1758157

Zentralblatt MATH identifier
0993.53005

Citation

Kuipers, Jack B. Quaternions and Rotation Sequences. Proceedings of the International Conference on Geometry, Integrability and Quantization, 127--143, Coral Press Scientific Publishing, Sofia, Bulgaria, 2000. doi:10.7546/giq-1-2000-127-143. http://projecteuclid.org/euclid.pgiq/1433524882.


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