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Talk:Conversion between quaternions and Euler angles

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This is an old revision of this page, as edited by Autopilot (talk | contribs) at 14:17, 12 February 2006 (Canonical form of quaternion). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Are the "Euler angles" in this article really Tait-Bryan_angles?

Canonical form of quaternion

The equation presented for conversion from Euler angles to Quaternion has several discontinuities that are not necessarily present in the Quaternions themselves.

For instance, for the Euler angles (0,0,-180) and (0,0,180), the conversion would produce the quaternions (0,0,0,1) and (0,0,0,-1). These refer to the same attitude, but linear interpolation or slerp between them would not work well. Which is the canonical form?