Conversion between quaternions and Euler angles: Difference between revisions

Revision as of 19:24, 18 November 2006

Revision as of 14:19, 24 November 2006

Line 1:

{{mergeto|rotation representationsrepresentation (mathematics)}}

Spatial rotations in three dimensions can be [[Coordinate system|parametrized]] using both [[Euler angles]] and [[Quaternions and spatial rotation|unit quaternions]]. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented by [[Leonhard Euler|Euler]] some seventy years earlier than [[William Rowan Hamilton|Hamilton]] to solve the problem of [[magic square]]s. For this reason the dynamics community commonly refers to quaternions in this application as "Euler parameters".