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 …
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 …
Combining rotation quaternions - Mathematics Stack Exchange
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 …
Concise description of why rotation quaternions use half the angle
Aug 5, 2015 · In my application, I make use of quaternions to represent the rotation of the device, and I feel it necessary to include a short description of what quaternions are and why they are …
What does multiplication of two quaternions give?
Apr 13, 2013 · Multiplication of quaternions works pretty much the same way the multiplication of rotation (or transformation) matrices works. So multiplication of two quaternions combines the …
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.
difference between 2 quaternions - Mathematics Stack Exchange
Mar 1, 2016 · Your terminology and symbolism are confusing. "Hamilton product" refers to the product of quaternions, and while vectors can be considered quaternions with 0 scalar part, …
rotations - How do you rotate a vector by a unit quaternion ...
Given a 3-variable right-handed vector v that is a translation measured in local space and a unit quaternion representing an orientation from local to world space, how do you use the …
How to convert a quaternion from one coordinate system to another
Jun 24, 2022 · I am trying to find a way of converting a quaternion from an arbitrary coordinate system to a fixed coordinate system that is used in my application. I have two different …
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 …