I'm pretty sure "more complex to visualise" is only because people see 4 components and then seemingly give up. They are very easy to visualize as axis-angle (a very simple concept despite using 4 numbers), or alternatively they can be visualized as a composition of two reflections, since performing two plane reflections ends up rotating around their intersection by twice the angle between them. Reflecting across two quaternions is the same deal only that the resulting axis is orthogonal to both inputs rather than being the intersection. Reflecting across a quaternion is very simple since it's just a 180° rotation. Compare that to a matrix, which I'd say is slightly _harder_ to visualize (when done properly), but still not to difficult. (Also has 9 components, but you don't see anyone trying to visualize one by somehow projecting down a 9 dimensional space.) Visualizing the matrix _as a rotation_ on the other hand is a _much_ steeper task.
I'm pretty sure "more complex to visualise" is only because people see 4 components and then seemingly give up. They are very easy to visualize as axis-angle (a very simple concept despite using 4 numbers), or alternatively they can be visualized as a composition of two reflections, since performing two plane reflections ends up rotating around their intersection by twice the angle between them. Reflecting across two quaternions is the same deal only that the resulting axis is orthogonal to both inputs rather than being the intersection. Reflecting across a quaternion is very simple since it's just a 180° rotation.
Compare that to a matrix, which I'd say is slightly _harder_ to visualize (when done properly), but still not to difficult. (Also has 9 components, but you don't see anyone trying to visualize one by somehow projecting down a 9 dimensional space.) Visualizing the matrix _as a rotation_ on the other hand is a _much_ steeper task.
Excellent! Thank you so much.
Thank you. Very nice. video. Subscribed!
So close to a hero that it is not a nemesis
Thank you!
Hey make a video on how to make a full robotic arm with motion controller
Quaternions are rotors for toddlers
I disagree. Quaternions are for adults and their need to overcomplicate or obfuscate simple things.
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