Mathematical constructions, number systems. In 3D-graphics quaternions are used alongside vectors and matrices. One of the benefits of quaternions is that they overcome some rotational problems (known as gimbal locks) that are inherent to vectors and matrices.

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How do I make an object's y-axis align with a Vector3?

I have a golf ball on the ground, and from a raycast, I have the normal which gives me the slope of the ground by the ball. I have an object which is rendered on the HUD to show that slope to the ...
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441 views

How can I create a WebGL camera based on quaternions?

I am trying to create a WebGL camera based on quaternions. I looked at many tutorials, and none is as simple as it could be or it was not working. How can I create such a camera?
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How can I compute a Jacobian matrix with dual quaternions?

I'm trying to understand an inverse kinematics algorithm realized with dual quaternions as presented here. My Jacobian matrix, however, seems to be calculated wrong. Could somebody explain, ...
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Quaternion - rotating rigidBody to particular angle over time

Using Bullet Physics. There's a rigid body that is rotated. For some delta-time I need to rotate that body to have rotation of (0, y, 0) - keep the old y value rotation but reset x and z. The ...
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Quaternion to direction vector - flipping

I've kinda solved this myself by adapting the Camera::setDirection code from OGRE to work for my need: Now I have the following code: Vector3 boneDir = getBoneWorldOrientation(mEntity, mHips) * ...
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How to set object's / node's absolute rotation correctly?

Usually when I want to rotate an object/node in my Ogre scene I call the node's rotate() method. That rotates the node locally relative to it's current rotation. So for example, when I start with 0 ...
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XNA rotating sprite with quaternion in scenegraph

I have been trying to set up a scenegraph in XNA, which I then use to draw sprites in the correct places. It uses matrix transformations to accomplish this. So far, I got position and scale working ...
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GLM Rotating Combining Multiple Quaternions?

I have a camera which I want to control with my mouse. I want the mouse to control the pitch and yaw of the camera but not the roll. To avoid loss of significance, I am storing the quaternions for ...
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How to move objects flat on different planes in 3d?

I need to move objects in circular/square/sinusoidal patterns in a flat manner on a collection of different and rotating planes in 3d space. I have the perpendicular of the planes. One method is to ...