Real world uses of Quaternions? - Mathematics Stack Exchange
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 …
linear algebra - How can one intuitively think about quaternions ...
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 …
Understanding quaternions - Mathematics Stack Exchange
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 …
Combining rotation quaternions - Mathematics Stack Exchange
Feb 3, 2017 · 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. …
How do I compare the (quaternion) orientation of two objects and ...
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.
Quaternions: why does ijk = -1 and ij=k and -ji=k
I think the geometric algebra interpretation of complex numbers and quaternions is the best, since it reveals more directly the fact that the "imaginary numbers" can be seen as encodings of …
Super confused by SQUAD algorithm for quaternion interpolation
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 …
Quaternion distance - Mathematics Stack Exchange
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 …
How to convert a quaternion from one coordinate system to another
Jun 24, 2022 · When dealing with quaternions, there are two variations in conventions which should be stated when describing the quaternions. The first one is if the scalar element is first …
ring theory - Why are the only associative division algebras over …
Why are the only (associative) division algebras over the real numbers the real numbers, the complex numbers, and the quaternions? Here a division algebra is an associative algebra …