Oct 19, 2010 · After a couple awesome moments of understanding, I understood it for imaginary numbers, but I'm still having trouble extending the thoughts to quaternions. How can someone …

Quaternions are a way of specifying a rotation through a axis and the cosine of half the angle. They main advantage is I can pick any two quaternions and smoothly interpolate between …

May 27, 2020 · How many questions about understanding quaternions have you read on the site? This is something that people are constantly asking about, so there is plenty of material. If …

I am wondering a few things about quaternions. Firstly, besides the ijk = −1 i j k = 1, etc definition, what exactly is a quaternion? What is their geometric representation and how does this differ …

If I combine 2 rotation quaternions by multiplying them, lets say one represents some rotation around x axis and other represents some rotation around some arbitrary axis. The order of …

Feb 14, 2018 · The demo generates 10 random unit quaternions and then interpolates between them indefinitely. It shows 12 WebGL canvas instances, 2 per algorithm. The top canvas …

I'm trying to rotate a 4 dimensional point (w,x,y,z). So far I've been rotating around planes (wx,xy,yz,zw,wy, and xy), but the order in which I do these rotations changes the results and …

Given multiple quaternions representing orientations, and I want to average them. Each one has a different weight, and they all sum up to one. How can I get the average of them? Simple …

May 5, 2018 · You can even compare the euclidean distance of quaternions, i.e., treat them as 4D vectors and compute how much $\|q_1 - q_2\|$ differ from $0$. It works also with logarithms.

Dec 10, 2011 · I am using quaternions to represent orientation as a rotational offset from a global coordinate frame. Is it correct in thinking that quaternion distance gives a metric that defines …