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  1. 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 …

  2. 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 …

  3. 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. …

  4. 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 …

  5. 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 …

  6. Quaternions multiplication order (to rotate & unrotate)

    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 …

  7. 3d - Averaging quaternions - Mathematics Stack Exchange

    Given multiple quaternions representing orientations, and I want to average them. Each one has a different weight, and they all sum up to one. How can I get the average of them? Simple …

  8. 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 …

  9. 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 …

  10. Quaternion , DCM , Euler Angles and Rotation Matrix Differences …

    Quaternion , DCM [Direction Cosine Matrix] , Euler Angles and Rotation Matrix Differences and when to use ? All of the above components can represent rotation , so when to use each of …