tolgabirdal/averagi​ng_quaternions

Version 1.1.0.0 (3,56 KB) von Tolga Birdal
This function computes the average (mean) quaternion.
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1,7K Downloads
Aktualisiert 17. Aug 2015
Lizenz auf GitHub anzeigen

Since quaternions are not regular vectors, but rather representations of orientation, an average quaternion cannot just be obtained by taking a weighted mean. This function implements the work done by F. Landis Merkley to calculate the average quaternion. The algorithm is explained by F. Landis Markley at:
http://www.acsu.buffalo.edu/~johnc/ave_quat07.pdf
For this particular implementation, I would also like to reference Mandar Harshe:
http://www-sop.inria.fr/members/Mandar.Harshe/knee-joint/html/index.html
While being basic and straightforward, this algorithm is compared with rotqrmean from VoiceBox and found to produce quite similar results, yet it is more elegant, much simpler to implement and follow. (Though, there might be difference in signs)

Zitieren als

Tolga Birdal (2025). tolgabirdal/averaging_quaternions (https://github.com/tolgabirdal/averaging_quaternions), GitHub. Abgerufen.

Kompatibilität der MATLAB-Version
Erstellt mit R2009b
Kompatibel mit allen Versionen
Plattform-Kompatibilität
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Versionen, die den GitHub-Standardzweig verwenden, können nicht heruntergeladen werden

Version Veröffentlicht Versionshinweise
1.1.0.0

Weighted average added.
Test function added.
1.0.0.0

Um Probleme in diesem GitHub Add-On anzuzeigen oder zu melden, besuchen Sie das GitHub Repository.
Um Probleme in diesem GitHub Add-On anzuzeigen oder zu melden, besuchen Sie das GitHub Repository.