Rotation and orientation quaternions have applications in computer graphics, computer vision, robotics, navigation, molecular dynamics, flight dynamics, orbital ...

Euler's rotation theorem · Versor · Conjugacy class

Graphical representation of products of quaternion units as 90° rotations in the planes of 4-dimensional space spanned by two of {1, i, j, k}. The left factor ...

Spatial rotation · History of quaternions · Classical Hamiltonian... · Quaternion group

The article currently states "The quaternion so obtained will correspond to the rotation matrix closest to the given matrix". · I think something like that would ...

Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two ...

In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention ...

Rotation formalisms in three... · Rotation (mathematics) · Rodrigues' rotation formula

Mar 20, 2008 · Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions.

In mathematics, the dual quaternions are an 8-dimensional real algebra isomorphic to the tensor product of the quaternions and the dual numbers.

In mechanics and geometry, the 3D rotation group, often denoted SO(3), is the group of all rotations about the origin of three-dimensional Euclidean space R ...