Quaternion: Difference between revisions
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See Ge ''et. al.''<ref name="ge1998double"></ref> | See Ge ''et. al.''<ref name="ge1998double"></ref> | ||
{{hidden | Algebraic Verification | | <!-- {{hidden | Algebraic Verification | | ||
Suppose our point is <math>\mathbf{x} \in \mathbb{R}^3</math> and our translation has direction <math>\mathbf{d} \in \mathbb{R}^3</math> with distance <math>d</math>. | Suppose our point is <math>\mathbf{x} \in \mathbb{R}^3</math> and our translation has direction <math>\mathbf{d} \in \mathbb{R}^3</math> with distance <math>d</math>. | ||
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</math> | </math> | ||
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==Dual Quaternions== | ==Dual Quaternions== | ||
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* [https://www.researchgate.net/publication/265550132_Approaching_Dual_Quaternions_From_Matrix_Algebra Approaching Dual Quaternions From Matrix Algebra by Federico Thomas] | * [https://www.researchgate.net/publication/265550132_Approaching_Dual_Quaternions_From_Matrix_Algebra Approaching Dual Quaternions From Matrix Algebra by Federico Thomas] | ||
* Double Quaternions for Motion Interpolation by Q.J. Ge, Amitabh Varshney, Jai P. Menon, Chu-Fei Chang | * Double Quaternions for Motion Interpolation by Q.J. Ge, Amitabh Varshney, Jai P. Menon, Chu-Fei Chang | ||
* [https://probablydance.com/2017/08/05/intuitive-quaternions/ Less Weird Quaternions by Malte Skarupke] | |||
** Derives rotations as a sequence of reflection and quaternion algebra from wedge products. | |||
** Presents quaternions as a sequence of (90 deg rotation + scaling) operations in 3D space. | |||
==References== | ==References== | ||