Abstract
This chapter builds upon the mathematics developed in Chap. 6 on multivectors, by showing how bivectors can rotate points and frames around arbitrary axes. The three reflections theorem is used to show how geometric algebra creates similar triple constructs to quaternions. It then develops 2D and 3D rotors and shows using practical examples how they work. After showing how to extract a rotor from a bivector triple, the chapter concludes with a summary and a list of the bivector transforms covered.
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References
Stillwell, J.: Numbers and Geometry. Springer, New York (1998)
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© 2011 Springer-Verlag London Limited
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Vince, J. (2011). Bivector Rotors. In: Rotation Transforms for Computer Graphics. Springer, London. https://doi.org/10.1007/978-0-85729-154-7_12
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DOI: https://doi.org/10.1007/978-0-85729-154-7_12
Publisher Name: Springer, London
Print ISBN: 978-0-85729-153-0
Online ISBN: 978-0-85729-154-7
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