SLERP (Quaternions)

So I finally decided to do a video on quaternions and slerping. This is mainly for educational purposes as using the built in lerp method will already slerp the rotation between two cframes.
Here are the links I mentioned throughout the video:
- 2D rotation matrix: wiki.roblox.com/index.php?titl...
- Rodrigues' rotation formula: • Rodrigues' rotation fo...
- Rotation matrix to quaternion: wiki.roblox.com/index.php?titl...
- Slerp module: github.com/EgoMoose/ExampleDu...
If you have a suggestion please leave a comment as this was my first time making a video like this so for the future your feedback helps!
Thanks for watching!

[@mickaelrenault5990]

Wow! Clear and efficient, all that we need. Thanks for this video, you're a good teacher!

[@EgoMoose]

Thanks! Glad you enjoyed the video :D

[@larzcaetano]

1 word, 1 feeling: AWESOME. I'm impressed. I've always been looking why we should use half-angle for the rotation, and i never really understood why. Ego, i was a huge fan of yours before watching this video, and now i'm more than a big fan. I worship you, man. You're awesome. Keep doing the awesome work and being the awesome person! Thanks for the video, dude!

[@EgoMoose]

Thanks for the kind words! I'm glad you enjoyed it!

[@astronautjupiter4225]

Finally I can implement asynchronous timewarp for my VR project thank to awesome EgoMoose!

[@edragoninja317]

I misspelt sleep as slerp and got here.

[@CostFrost]

I can confirm that in 2019 this is still a problem. I typed "slerp" saw this and thought "what the fuck"

[@ellarugr]

Me too

[@afternoon4560]

Thought I was the only one

[@RAKESHSHANTHAPPA]

Great video. Very detailed explanation. Was very helpful to understand the concept. Thanks for the awesome work.

[@dariusz879]

Best video on quaternions! Many thanks.

[@armanyekekhani663]

Awesome, thanks for your clear and helpful explanation

[@ritageraghty4404]

I just subscribed. Great tutorial. Thanks for your time in making this tutorial.

[@dhedarkhcustard]

What's that tool you're using at the very start?

[@user-ji9rn2mc6z]

GREAT!! SUBSCRIBED!

[@chloe5647]

I finally understand quaternions now thank you! 🥰

[@anthony4564]

you be the first

[@frh_astroboy8215]

@@anthony4564 dude i spending so much time but cant understand quaternions..............AAAAAAAAAAAAAHHHHHHHHH

[@kamej0ko]

Awesome, senpai!!!

[@nexuzinnovation-com]

The file "FromQuaternionTo3DRotation.cdf" downloaded from Wolfram is zero byte, can you provide a link to download this .CDF file ?

[@myelinsheathxd]

Amazing!

[@jwilliams8210]

Wow! Nice!

[@SuperAndupandu]

Hello. Great video mate. But may I am not clear on what the real part on the image stands for? Can anyone help me asap? Thanks a lot.

[@EgoMoose]

Anoop Ingle This video is quite technical. I recently wrote this article which i think explains quaternions in a way more intuitive manner. Try checking this out: github.com/EgoMoose/Articles/blob/master/Quaternions/Rotation%20quaternions%20and%20slerping.md

[@steveallen5663]

Great video. Could you provide some intuition as to why acos(a) = angle rotation.

[@EgoMoose]

Steve Allen Unfortunately I wouldn't describe it as intuitive thanks to its 4d nature. I find the Rodriguez rotation to be the best way to understand bc of ease of conversion and the fact that it's 3d. I guess you can think of 4d as having 3d shadows (in this case 3d vectors) and the cos represents the angle they move from the identity quaternion (we'd normally view this as a transition of time)

[@user-xp4ze1qk4l]

I don`t understand about t. Its percent of what? How did we detect t? 16:22

[@rashmibn7893]

which simulation software used...?

[@normalperson397]

Roblox

[@jeremymcguire8385]

cool

[@Logan-kn3gt]

so quaternions are a middle finger to euler angles?

[@DrunkenUFOPilot]

Euler angles have only three fingers while quaternions have four. So how can any of a quaternion's fingers be the middle? But never mind that - quaternions do run circles around Euler angles. Well-interpolated circles.

[@rallokkcaz]

Still can't believe this is Roblox for such intense concepts. Is that an intentional choice?

[@starmaq3013]

Trust me there is a A LOT of math that lurks behind roblox, but not many people have interest in despite the extreme need for it

[@conditionalbee9603]

I tried to understand CFrames, have been using them for a long time now but really never understood what they are. I went through countless videos on linear algebra, rotation matrices and then to quaternions. Even after all of that, I still don’t know how to rotate an object to an orientation that I want using quaternions lol. Even worse is, I still don’t understand CFrames 😂

[@TBreaux]

So what is this used for.

[@phong27316]

computer graphic, model rotation, mobile rotational tracking... and more.

[@SigmaTech]

>Came here because I'm developing and interpolation script for a ROBLOX game >Video mentions ROBLOX

[@AlejandroFernandezDaCosta]

Cuaternions are not imaginary numbrers, only the algrebra is similar. i j k are bivectors and the imaginary numbrers are generated by a trivector in geometric algebra.

[@HaydenEvanoff]

Lol was I the only one completely lost the whole time?

[@literalcode]

Why did you start speaking Greek at 3:36 wtf

[@videofountain]

Thanks. My first look at the LUA programming language. www.lua.org/home.html

[@MrSaemichlaus]

Your handwritten i's and j's are pretty damn hard to tell apart on first look, so much for readability. But thanks for your time to put this lesson together! It brought me closer to the facts again ...