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Euler-Rodrigues parameters

In mathematics, Euler-Rodrigues parameters, also called just Euler parameters, are four numbers a, b, c, d such that

a2+b2+c2+d2=1.

These parameterize the Lie group SU(2) via the expression

\begin{pmatrix} \ \ \,a+di & b+ci \\ -b+ci & a-di \end{pmatrix}.

They are nowadays more commonly called unit quaternions (i.e. quaternions of length 1).

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10-26-2009 08:16:03
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