Tagged Questions
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How $v=(-\sin\frac{\alpha}{2}\sin\frac{\beta}{2},\cos\frac{\alpha}{2}\sin\frac{\beta}{2},\sin\frac{\alpha}{2}\cos\frac{\beta}{2})$ is derived from…
In the book Quarternion and Rotation Sequences, I can't seem to work out how the final equation (colored in $\color{red}{red}$) is derived from the original equation (colored in $\color{blue}{blue}$).
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0
votes
0answers
1k views
Compute Altitude and Azimuth using either Quaternions or Rotation Matrix or Roll, Pitch and Yaw component
I am struck with a mathematical problem. I want to convert the iPhone device's attitude information which is available in one of the following forms:
Quaternion
Rotation Matrix
Roll, Pitch and Yaw ...
5
votes
2answers
1k views
Euler angles and gimbal lock
Can someone show mathematically how gimbal lock happens when doing matrix rotation with Euler angles for yaw, pitch, roll? I'm having a hard time understanding what is going on even after reading ...