Wikipedia

Conversion between quaternions and Euler angles: Difference between revisions

Browse history interactively
← Previous editNext edit →
Content deleted Content added
VisualWikitext
Importing Wikidata short description: "Mathematical strategy"
https://fzheng.me/2017/11/12/quaternion_conventions_en/ Apparently some formulas actually use Hamilton instead of JPL despite the fact that it claims to use JPL throughout...
Line 3:
 
==Definition==
ForThere theare resttwo representations of thisquaternions. article,Hamilton the "passive"and [[JPL]] [[quaternion]] convention<ref>W. G. Breckenridge, "Quaternions proposed standard conventions," NASA Jet Propulsion Laboratory, Technical Report, Oct. 1979.</ref>. This article uses Hamilton shallfor besome usedformulas. A unit [[quaternion]] can be described as:
:<math>\mathbf{q} = \begin{bmatrix} q_0 & q_1 & q_2 & q_3 \end{bmatrix}^T = \begin{bmatrix} q_w & q_x & q_y & q_z \end{bmatrix}^T</math>
:<math>|\mathbf{q}|^2 = q_0^2 + q_1^2 + q_2^2 + q_3^2 = q_w^2 + q_x^2 + q_y^2 + q_z^2 = 1</math>
Retrieved from "https://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles"