Applications of dual quaternions to 2D geometry: Difference between revisions

Revision as of 15:48, 30 June 2022

Revision as of 15:48, 30 June 2022

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<math display="block">\begin{pmatrix}A + Bi & C + Di \\ 0 & A - Bi \end{pmatrix}.</math>

It can also be represented as a 2×2 dual number matrix:

<math display="block">\begin{pmatrix}A + C\varepsilon & -B + D\varepsilon \\ B + D\varepsilon & A - C\varepsilon\end{pmatrix}.</math>

The above two matrix representations are related to the [[Möbius transformation|Möbius transformations]] and [[Laguerre transformations]] respectively.