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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag London Limited
About this chapter
Cite this chapter
Vince, J. (2011). 3D Rotation Transforms. In: Quaternions for Computer Graphics. Springer, London. https://doi.org/10.1007/978-0-85729-760-0_6
Download citation
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
eBook Packages: Computer ScienceComputer Science (R0)