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 …

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 …

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 …

My goal is to understand rotation quaternions specifically. I don't want to just memorize the formulas for using rotation quaternions, I want to truly understand them. It's the most difficult thing I've ever tried …

Oct 29, 2018 · I am rotating n 3D shape using Euler angles in the order of XYZ meaning that the object is first rotated along the X axis, then Y and then Z. I want to convert the Euler angle to Quaternion …

In the quaternion case, reduced means that instead of taking this as the norm, you take its square root. Since the quaternions are 4-dimensional over $\Bbb R$, the reduced norm defines a quadratic form, …

If quaternions represent similar rotations, and the quaternions are normalized, and a correction has been applied for the "double-cover problem", then the quaternions can be directly averaged and then the …

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 …

Feb 2, 2017 · Multiplication by quaternions in the conventional way transforms the world coordinates of whatever object you apply it to. In order to achieve the effect of first performing the parent rotation, …

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 suitable to …