euler angles ,

My book, "Computer Animation: Algorithms and Techniques,"
talks about fixed axis rotation where you rotate an object about each of the
three *fixed* coordinate axes in some order. I see how gimbal lock can
occur with this setup. It then talks about Euler angles, which is where the
rotations always happen along the updated object axes in some order. It
then implements euler angles in terms of fixed angles and shows they are
equivalent but with reverse ordering, so euler angle can have gimbal lock
too.

However, is this because of the fixed angle implementation? If you instead
maintained the object's look, up, and right vector and used arbitrary axis
rotations, would gimbla lock still be possible? I could not visualize a
case where a degree of freedom would be lost in this situation since the
object axes are always mutually orthogonal, one axis could never line up
with another.




.

Relevant Pages

  • Re: euler angles ,
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    (comp.graphics.algorithms)
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