Revision as of 16:14, 9 January 2023 edit R0uge (talk \| contribs) Extended confirmed users 591 edits Undid revision 1128376317 by Lambiam (talk) passive vs active rotations is a technical term, and quaternion definitions across wikipedia are inconsistent. This needs to be called out Tag: Undo ← Previous edit		Revision as of 23:42, 14 January 2023 edit undo Citation bot (talk \| contribs) Bots 5,862,742 edits Add: doi-access, bibcode, pmc, pmid. Removed proxy/dead URL that duplicated identifier. \| Use this bot. Report bugs. \| Suggested by Headbomb \| Linked from Wikipedia:WikiProject_Academic_Journals/Journals_cited_by_Wikipedia/Sandbox \| #UCB_webform_linked 55/230 Next edit →
Line 188: == Quaternion to Euler angles (in 3-2-1 sequence) conversion == A direct formula for the conversion from a quaternion to Euler angles in any of the 12 possible sequences exists.<ref>{{cite journal \|last1=Bernardes \|first1=Evandro \|last2=Viollet \|first2=Stéphane \|title=Quaternion to Euler angles conversion: A direct, general and computationally efficient method \|journal=PLOS ONE \|date=10 November 2022 \|volume=17 \|issue=11 \|pages=e0276302 \|doi=10.1371/journal.pone.0276302 \|~~url~~pmid=~~https://journals.plos.org/plosone/article?id~~36355707 \|pmc=109648712 \|bibcode=2022PLoSO.~~1371/journal~~.~~pone.0276302~~1776302B \|language=en \|issn=1932-6203\|doi-access=free }}</ref> For the rest of this section, the formula for the sequence '''Body 3-2-1''' will be shown. If the quaternion is properly '''normalized''', the Euler angles can be obtained from the quaternions via the relations:

Conversion between quaternions and Euler angles: Difference between revisions