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Quaternions in Space

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Mathematics for Computer Graphics

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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Abstract

In this chapter we show how quaternions are used to rotate vectors about an arbitrary axis. We begin by reviewing some of the history associated with quaternions, and the development of octonions.

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References

  1. Cayley A (1848) The collected mathematical papers, vol I, p 586, note 20

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  2. Altmann SL (1986) Rotations, quaternions and double groups, p 16. Dover Publications

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  3. Vince JA (2017) Mathematics for computer graphics, 5th edn. Springer

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Correspondence to John Vince .

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Vince, J. (2022). Quaternions in Space. In: Mathematics for Computer Graphics. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-7520-9_12

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  • DOI: https://doi.org/10.1007/978-1-4471-7520-9_12

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-7519-3

  • Online ISBN: 978-1-4471-7520-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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