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Math Help - Rotation Matrix Help Needed

  1. #1
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    Rotation Matrix Help Needed

    Hi, I have been working on a matrix problem that will probably be easy to most people reading this forum, but I have attempted to solve it via a lot of searches and brute force and cannot come up with the answer.

    The question is, succinctly, how do I derive a rotation matrix relative to the identity matrix that is functionally equivalent to the rotation of another frame of reference?

    So if I have a local frame of reference where UP is facing down the Z axis and within that frame I rotate 45 degrees along the heading, how could I derive a rotation that would perform a -45 degree bank rotation relative to a frame of reference where UP is up the Y axis?

    Or are these the same transformations?

    If anyone could help put me out of my misery, I'd appreciate it. Thanks.

    Added:

    I guess a related question would be: how do you express a vertex in local coordinate system in terms of another local coordinate system?

    Ambi
    Last edited by Ambival; April 24th 2008 at 01:41 PM. Reason: Addendum
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