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3D Rotation Transforms

  • John Vince

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.

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • John Vince
    • 1
  1. 1.Bournemouth UniversityBournemouthUK

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