Some questions about the rotation of kernels

[bobbyhanbin]

Hello,

There are some questions that confused me for weeks and I cannot solve them on my own, hope you guys can help me:

1. how the kernel rotate over the sphere, in which direction? (by the way, is there any gif to see or understand that?)
2. How many times does the filter rotate?
3. I know that the output of s2convolution is a signal on SO(3), but why? how to visualize or explain that?

Thanks, a lot!

[mariogeiger]