*This page is under construction and is incomplete.*
## Quaternions

This page gives a simple overview of what a quaternion is and some
links to further information about quaternions elsewhere. It is
part of information about
colour image processing.
A quaternion is a type of hypercomplex number, that is a generalization
of complex numbers to more than two dimensions. Quaternions have four
components: one real, and three imaginary. Another way of representing
this is to say that they are complex numbers with a vector imaginary
part. The quaternions were discovered by Sir William R. Hamilton in
Dublin in 1843. They led to the development of vector methods, but
subsequently became neglected. Today they are used in robotics, aeronautical
engineering and generally in fields where 3-dimensional calculations have
to be computed.

## External links

Created by Dr Steve Sangwine 13 March 2000