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Why would interpolating Euler angles yield strange results? How do quaternions help?


These slides ( contain a nice example of interpolating Euler Angles being undesirable: say you want to go from (0, 90, 0) to (90, 45, 90). What you would want the midpoint to be is (90, 22.5, 90), but interpolating directly gives you a midpoint of (45, 22.5, 45), causing the shape to swing "out" to one side rather than following the line you would expect.

This is visualized nicely in this video:


Are there other solutions beside SLERP interpolation? Wonder if quadratic ones would perform better for interpolations