Question

Algorithm for extracting absolute rotations from a camera matrix?

Asked by: laeuchli

Dear All,
   I'm currently have a problem correctly extracting eulers from my camera matrix. This is what I Want to do. I have a navigator that controls the absolute rotations. For instance one part of the navigator rotates around the absolute Z axis(As opposed to if I did it with a relative rotation where if you rotated a 90 degrees around anohter axis first, the Z rotation would not appear to be around the original Z axis). However I'd like to extract such absolute rotation angles from a camera matrix(because the navigator doesnt have control of the camera all the time, and when its reactivated, I'd like to pass it a camera matrix and have its positions be up to date.). I'm having trouble figuring out how to do this. The method on (http://www.geometrictools.com/Documentation/EulerAngles.pdf ) works to a point. I can get the Z axis rotation correctly, but only when theres been no rotation around the X or Y axis. I'm sort of at a loss on what to do here. If anyone could give me a hand I'd apprciate it.
Regards,

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Asked On
2007-07-18 at 12:19:50ID22705197
Tags

rotation

,

matrix

,

relative

Topics

3D Game Programming

,

Math & Science

,

Algorithms

Participating Experts
4
Points
500
Comments
6

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Answers

 

by: ozoPosted on 2007-07-19 at 00:58:01ID: 19520048

I don't particularly like absolute rotation as a representation of orientation
For one thing, you have to deal with Gimbal Lock
But In what order are you defining your three absolute rotations ?

 

by: Fippy_DarkpawPosted on 2007-07-19 at 06:57:35ID: 19521908

You using any API like DirectX or OpenGL? What language? Those would help in finding some code for you.

 

by: ikeworkPosted on 2007-08-04 at 05:40:16ID: 19630681

hi laeuchli,

one problem with euler-angles is, that you have to define an order how to apply the 3 components. if you apply first the x-component, then the y-comp. and then the z-comp, but the algorithm you use was designed for a different order, then it won't work ..

the document in your link is talking about that:

-- quoting start --
"For example, one might want to factor a rotation as R = Rx(x)Ry(y)Rz(z) for some angles x, y, and z. The ordering is xyz. Five other possibilities are xzy, yxz, yzx, zxy, and zyx. One might also envision factorizations such as xyxthese are not discussed here. The following discussion uses the notation ca = cos(a) and sa = sin(a) for a = x, y, z.
-- quoting end --

so if you want to use their formula, you have to use the same order, which is x, y, z

hence, if you want to use that euler angles rotate first around x-axis, then around y-axis and then around z-axis..


hope it helps .. :)
ike

 

by: ozoPosted on 2007-08-04 at 08:43:22ID: 19631301

If you know in what order upi are defining your three absolute rotations you could use
http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToEuler/index.htm

 

by: Computer101Posted on 2007-10-18 at 18:25:24ID: 20105877

Forced accept.

Computer101
EE Admin

20120131-EE-VQP-002

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