Talk:Quaternions and spatial rotation: Difference between revisions

Revision as of 15:20, 5 July 2016

Revision as of 15:46, 5 July 2016

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::::The responding editor is correct; we do not allow external links in the body of an article and this is typically associated with spam and linkbait. On the other items, we would probably want independent secondary sources about the results if they were to be included, such as press articles, review articles in academic journals, etc. rather than getting the information directly from a paper publishing original research. [[User:CorporateM|CorporateM]] ([[User_talk:CorporateM|Talk]]) 19:53, 18 January 2015 (UTC)

Can someone please give a reference and/or rewrite the section [[Quaternions_and_spatial_rotation#Quaternion-derived_rotation_matrix]] to actually give a derivation of a rotation matrix from a quaternion transformation. In other words, thankthe you.section [[User:WinterSpw|WinterSpw]]needs ([[Usera talk:WinterSpw|talk]])concrete 15:20,proof 5that Julythe 2016sandwich (UTC)product in the quaternion transformation <math>q * v * q^{-1}</math> is equal to the end result 3D rotation matrix described in the section.

: <math> \mathbf{R} = \begin{bmatrix}

1 - 2 q_j^2 - 2 q_k^2 &

2 (q_i q_j - q_k q_r) &

2 (q_i q_k + q_j q_r) \\

2 (q_i q_j + q_k q_r) &

1 - 2 q_i^2 - 2 q_k^2 &

2 (q_j q_k - q_i q_r) \\

2 (q_i q_k - q_j q_r) &

2 (q_j q_k + q_i q_r) &

1 - 2 q_i^2 - 2 q_j^2

\end{bmatrix}

</math>

Thank you. [[User:WinterSpw|WinterSpw]] ([[User talk:WinterSpw|talk]]) 15:20, 5 July 2016 (UTC)

== Error in rotation matrix formula ? ==