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Re: Averaging quaternions [message #38711 is a reply to message #38643]

Sun, 21 March 2004 00:47

Arnold Neumaier
Messages: 5
Registered: March 2004

Junior Member

jelansberry wrote:
> I've finally realized that all I contributed was questions and complaints
> and no alternative solutions.
>
> If I were doing this, I would probably convert the quaternions to Euler (or
> Bryant) angles first (convert the quaternion to a direction cosine matrix,
> then extract the Euler angles). Then, I would compute the average of the
> Euler angles, and then convert the resulting average Euler angles back to a
> quaternion (convert the Euler angles to a direction cosine matrix, then
> extract the quaternion).

This has exactly the same problems as averaging over quaternions, since
angles are only unique up to a multiple of pi or 2pi; so the average
depends on whether you represent an angle by a number close to pi or
close to -pi ...

Arnold Neumaier

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[Message index]

		Averaging quaternions By: GrahamWilsonCA on Thu, 18 March 2004 14:34
		Re: Averaging quaternions By: Arnold Neumaier on Mon, 22 March 2004 00:54
		Re: Averaging quaternions By: jelansberry on Sun, 21 March 2004 15:26
		Re: Averaging quaternions By: Arnold Neumaier on Sun, 21 March 2004 09:48
		Re: Averaging quaternions By: jelansberry on Sun, 21 March 2004 09:15
		Re: Averaging quaternions By: Arnold Neumaier on Sun, 21 March 2004 00:47
		Re: Averaging quaternions By: jelansberry on Sat, 20 March 2004 07:23
		Re: Averaging quaternions By: Arnold Neumaier on Tue, 30 March 2004 02:53

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