- #1
makc
- 65
- 0
Can someone explain "Euler" angles?
From what I read, "Euler" rotations are composed out of matrices like
which is pretty distinctive in that they rotate around same axis twice, and makes
sense for devices like this
http://en.wikipedia.org/wiki/Image:Gimbaleuler.gif
http://en.wikipedia.org/wiki/Image:Gyroscope_operation.gif
another property of that, as I read somewhere, is that you can combine these
matrices in any order, and it kinda makes sense, again, if you look at the device above
(or does it not...?)
On the other hand, there are Tait-Bryan aka Cardan aka coordinate rotations,
which have these matrices like
that are order-dependant.
I was starting to think I am getting it right, but this article puts it under "euler"
angles (formulas 43 to 54) - what a hell?
Can someone here please explain precise meaning of "Euler" angles?
From what I read, "Euler" rotations are composed out of matrices like
Code:
* * 0 1 0 0 * * 0
* * 0 0 * * * * 0
0 0 1 0 * * 0 0 1
which is pretty distinctive in that they rotate around same axis twice, and makes
sense for devices like this
http://en.wikipedia.org/wiki/Image:Gimbaleuler.gif
http://en.wikipedia.org/wiki/Image:Gyroscope_operation.gif
another property of that, as I read somewhere, is that you can combine these
matrices in any order, and it kinda makes sense, again, if you look at the device above
(or does it not...?)
On the other hand, there are Tait-Bryan aka Cardan aka coordinate rotations,
which have these matrices like
Code:
1 0 0 * 0 * * * 0
0 * * 0 1 0 * * 0
0 * * * 0 * 0 0 1
that are order-dependant.
I was starting to think I am getting it right, but this article puts it under "euler"
angles (formulas 43 to 54) - what a hell?
Can someone here please explain precise meaning of "Euler" angles?