Mark Szlazak
Wednesday, March 4, 2020
Update Mozzi Chasles DRAFT
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UNDER CONSTRUCTION Any displacement of an object in 3D-space from an initial position to a final position can be replicated by a single h...
Sunday, February 23, 2020
New Notation: Some changes to make previous posts on dual quaternions and screw theory consistent.
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The previous posts on screw theory and (dual) quaternions are not consistent with each other and need to be made so before they are combined...
Wednesday, January 22, 2020
Unit Dual Quaternions, Line Transformations and Plücker Coordinates
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BEWARE! THIS DRAFT HAS SOME SYMBOLS THAT DO NOT MATCH THOSE WE HAVE PREVIOUSLY USED. THE LETTER USED FOR TRANSLATION WAS $\vec{d}$ BUT HERE...
Wednesday, January 8, 2020
Extracting the Cross and Dot Products from the Quaternion Rotation Operator
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The product of two regular quaternions $\pmb{r} = r_0 + \vec{r}$ and $\pmb{v} = 0 + \vec{v}$ is: $$\begin{align} \pmb{r}\vec{v} &= \big...
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