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

Revision as of 21:24, 13 April 2020

Revision as of 19:26, 9 June 2020

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For applications in computer graphics, the number <math>A + Bi + C\varepsilon j + D\varepsilon k</math> should be represented as the 4-[[tuple]] <math>(A,B,C,D)</math>.

== Matrix representation ==

The dual-complex number <math>q=A + Bi + C\varepsilon j + D\varepsilon k</math> has the following representation as a 2x2 complex matrix:

: <math>\begin{pmatrix}A + Bi & C + Di \\ 0 & A - Bi \end{pmatrix}</math>

== Terminology ==