2010年10月19日 · 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 them. Rotors …

2025年6月26日 · Quaternions. For me, the quaternions are a 4D algebra $\Bbb H=\Bbb R\oplus\Bbb R^3$ and every quaternion is uniquely expressible as a sum of a scalar and a 3D vector.

2020年5月27日 · 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 …

2018年10月29日 · 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 …

2017年2月2日 · 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, …

2012年4月27日 · 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 …

2023年9月11日 · Confusion regarding definition of quaternions Ask Question Asked 2 years, 5 months ago Modified 1 year, 8 months ago

2022年6月24日 · 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 …

2013年4月13日 · Multiplication of quaternions works pretty much the same way the multiplication of rotation (or transformation) matrices works. So multiplication of two quaternions combines the …