"Distance" (or angular magnitude) between two quaternions?
Solution 1
Find the difference quaternion qd = inverse(q1)*q2).
Than find the angle between q1 and q2 by angle = 2 * atan2(qd.vec().length(), qd.w()) // NOTE: signed
The "angle" here, is the angle of rotation from q1 to q2 by shortest arc.
Solution 2
Also you can use this lib function from pyquaternion
.
Quaternion.absolute_distance(q0, q1)
Clonkex
Enjoyer of Overwatch/AoE4/Siege/Mordhau/Chiv2, sort-of-Accordion Player, avid Rollerblader (Seba High Light V1 2015), Christian. Rode a CB500X for a while, but sold it when my car engine cost me 12 grand. Now riding a 2020 Royal Enfield Himalayan (Itchy Boots ftw). Started programming at ~13 in Liberty BASIC. Progressed to DBPro at ~15 (and loved it). Now a decent programmer of many languages living in beautiful country NSW. Came up with my name at 13, when my gaming life was defined by the awesome games Clonk and Cube/Sauerbraten and by emulators like MAME, Gens and SNEX9x. Originally a fan of C++, then of Javascript, but C# is my current favourite. Boop.
Updated on June 05, 2022Comments
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Clonkex almost 2 years
I want to find the "distance" between two quaternions. By "distance" I mean a single float or int, not another quaternion (that would be the difference, i.e.
inverse(q1)*q2
). I guess you could call what I want "angular magnitude".I need to apply more torque to a physics object the further it's rotated from its original angle.
I don't understand the maths involved in quaternions, so a code-based example would be most helpful. I've looked at several other questions but I don't believe any answer my question, or at least not in a way I understand it.
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Clonkex about 10 yearsSounds like exactly what I need. I'll test shortly and accept your answer if it is :)
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Peter over 5 yearsCan you explain how you got this equation please?
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minorlogic over 5 years
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Michael T about 5 yearswhat does
.vec()
do? -
minorlogic about 5 yearsvec() return vector part of quaternion (x,y,z)