Quaternions and Spatial Rotation

João Pedro Morais, Svetlin Georgiev and Wolfgang Sprößig
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João Pedro Morais: University of Aveiro, CIDMA
Svetlin Georgiev: University of Sofia St Kliment Ohridski Faculty of Mathematics and Informatics, Department of Differential Equations
Wolfgang Sprößig: TU Bergakademie Freiberg, Institut für Angewandte Analysis

Chapter 2 in Real Quaternionic Calculus Handbook, 2014, pp 35-51 from Springer

Abstract: Abstract The particularly rich theory of rotations does not need advertising. One can think of a rotation as a transformation in the plane or in space that describes the position and orientation of a three-dimensional rigid body around a fixed point. The first ever study of rotations was published by L. Euler in 1776.

Keywords: Rotation Angle; Unit Quaternion; Quaternion Representation; Pure Quaternion; Composite Rotation (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0622-0_2

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