Sign in to follow this  

Angle of Rotations from World Transformation matrix

This topic is 3903 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Recommended Posts

just combine the 3 rotation matrices (x,y,z)

and extract the information out of the sin, cosine terms in the matrix

the final rotation matrix looks like this
|R11 R12 R13|
|R21 R21 R23| = R = Rz*Ry*Rx
|R31 R32 R33|

Rx(PHI): => R32/R33 = tan(PHI)
Ry(THETA): => R31 = -sin(THETA)
Rz(OMEGA): => R21/R11 = tan(OMEGA)

take care of the special case cos(THETA)=0
remark:
tan(x) = sin(x)/cos(x)
sin(x)*sin(x) + cos(x)*cos(x) = 1

don t just pick these formulas, combine the matrix on your own otherwise you will probably fail to understand

Share this post


Link to post
Share on other sites

This topic is 3903 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

If you intended to correct an error in the post then please contact us.

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this