Jul 28, 2023 · I am trying to understand how quaternions work and what the proper approach would be to implement arbitrary rotations in three dimensions.
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How do you rotate a 3D point using quaternions?
To summarize, if you have a 3D point x,y,z that you want to rotate by angle θ around the axis represented by vector [a,b,c] using quaternions, what you need to do is: Create a quaternion p=0+xi+yj+zk. Create a quaternion q=cos(θ/2)+ai+bj+ck where cos(θ/2)2+a2+b2+c2=1 i.e. a unit quaternion.
Jan 31, 2021
What is the default rotation of a quaternion?
3.1) About Quaternions
A Quaternion is an axis-angle representation scaled in a way which optimizes common calculations, such as combining multiple rotations and interpolating between different rotation values. The default rotation for an object known as 'identity' is (0, 0, 0) in Euler and (0, 0, 0, 1) in Quaternion.
What is the formula for quaternion rotation?
The rotation axis represents the unit quaternion n = 1 i + 0 j + 0 k while the rotation operator is given by q = cos α 2 + n · sin α 2 = cos α 2 + i · sin α 2 .
Dec 4, 2018 · The reason the rotation was misbehaving is because Quaternions seem to break down when values are greater or less than 1.0 or -1.0, respectively ...
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I'm writing code that receives quaternion values that are used to rotate a 3D model. To display the model with the correct rotation, though, I'll need to swap ...
Jan 31, 2021 · What I tried is to create 3dVector with object position, example (0,0,-5). I would use quaternion that would rotate this vector around y axis, ...
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Posted: Oct 26, 2018
Posted: Oct 26, 2018
Feb 22, 2022 · I'm trying to break a rotation value within control rig from a get transform, add a value to one rotation axis and feed it back into a set ...
Aug 6, 2022 · I have a cube, of which four of the sides can be clicked on. Moving the camera to the position that matches with the side.
Rotation and orientation quaternions have applications in computer graphics, computer vision, robotics, navigation, molecular dynamics, flight dynamics, orbital ...
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