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3D Rotation Transforms

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Abstract

Chapter 6 revises 3D rotation transforms and how they are used to rotate points about a Cartesian axis and an off-set axis. In particular, gimbal lock is described and the need to rotate points about an arbitrary 3D axis. To this end, a matrix transform is developed that achieves such a rotation, which provides a basis for understanding a similar transform using quaternions. The chapter summarises key formulae and contains some useful worked examples.

Keywords

  • Axis Parallel
  • Axis Passing
  • Cartesian Axis
  • Rotation Sequence
  • World Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2011 Springer-Verlag London Limited

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Vince, J. (2011). 3D Rotation Transforms. In: Quaternions for Computer Graphics. Springer, London. https://doi.org/10.1007/978-0-85729-760-0_6

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  • DOI: https://doi.org/10.1007/978-0-85729-760-0_6

  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-759-4

  • Online ISBN: 978-0-85729-760-0

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