Basic Intro to Quaternions for 3D Rotations

[rabbishekelstein]

bro really made the best video on quaternions on youtube ever and then started posting tf2 and deeprock galactic
pretty good👏

[pigeon]

I've spent like 7-ish hours learning quaternions and taking multiple pages of notes on them over multiple different yt videos, and honestly the simple explanation of using it as a vector multiplied by a scalar just made everything click for why this is so useful and how it should be used in computer science

[amineremache]

Thanks man, that was really a "right to the point" explanation.
I have been dealing with quaternions for almost a year now, and this is one of the best introductions I could find 👍

[tomq]

maybe the best and briefest explanation of the topic, thanks.

[ryanswindell]

Best video I've found so far as an intro to quaternions!

[miggi]

Holy s..t, that's the best and short explanation I've ever seen. Thank you.

[zahidköroğlu]

shoulda make more videos like this. absolute CHAD

[edgarbonet]

Nice video! Short and sweet, with very clear explanations, and clear graphics too. Thanks for posting it! I have a small correction and some comments though.

Firstly: quaternions are not faster than rotation matrices when it comes to rotating a vector. They take 15 multiplications and 15 additions, whereas only 9 multiplications and 6 additions are needed with a rotation matrix. If you have multiple vectors to rotate by a given quaternion, the fastest method involves first converting the quaternion to a rotation matrix.

On the other hands, when it comes to chaining rotations (combining multiple rotations into one), quaternions are significantly faster than rotation matrices.

Also: although quaternions do not suffer from gimbal lock, neither do rotation matrices. Gimbal lock is an issue with Euler angles.

[fabibmx]

Very good explanation. Simple, concise and clear.
Thanks 🙏

[compilererror]

bro went from shitposting to dropping the best quaternion video in existence and then went back to shitposting

literally the goat

[vatsalpatel]

That was a really good video, solved many of my doubts. Thanks.

[GreySectoid]

Incredibly useful! Finally it all clicked together in my head after seeing the unit sphere explanation, thank you!

[EvanBC]

Nice introduction to quaternions. A small mistake: since these are position vectors, the heads are at the origin and their *tails* are the points A and B. Another point: the transition from the expression of Q to the Hamilton product is not very intuitive because you skip the matrix representation. (Why are we allowed to take the inverse of Q?)

[farazfarooqi]

What software is being used here to demonstrate all the 3D figures???

[RalphOpinion]

if linear is jerky and spherical is smooth transition, how do you ramp a transition or ramp down?

[christophergame]

Why do you say "Rotate it such that it becomes the vector B" ? True, Americans don't speak ordinary English, and speak so. An ordinary English speaker would say "Rotate it so that it becomes the vector B". 'Such' is an adjective. 'So' is its corresponding adverb.