Litcius/Paper detail

Quaternions and Rotation Sequences

Jack Kuipers

2020Princeton University Press eBooks645 citationsDOIOpen Access PDF

Abstract

In this paper we introduce and define the quaternion; we give a brief introduction to its properties and algebra, and we show, what appears to be, its primary application -the quaternion rotation operator.The quaternion rotation operator competes with the conventional matrix rotation operator in a variety of rotation sequences.

Topics & Concepts

QuaternionRotation (mathematics)Dual quaternionMathematicsComputer scienceGeometryAdvanced Mathematical Theories and ApplicationsScientific Research and DiscoveriesInertial Sensor and Navigation