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 them. Rotors …
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 you're mainly …
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 displays the …
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 or last, the …
Getting yaw, pitch or roll parts from a quaternion
Jun 21, 2020 · Simply Using Quaternions all the time for rotations is a HUGE huge mistake. Assuming the Yaw Pitch Roll convention note that this Euler angle (60, 45, 45) achieves an orientation that can …
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 the …
ring theory - Why are the only associative division algebras over the ...
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 where every …
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. The order of …