Wikipedia:Articles for deletion/Generalized quaternion interpolation: Difference between revisions
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:''The following discussion is an archived debate of the proposed deletion of the article below. <span style="color:red">'''Please do not modify it.'''</span> Subsequent comments should be made on the appropriate discussion page (such as the article's [[Help:Using talk pages|talk page]] or in a [[Wikipedia:Deletion review|deletion review]]). No further edits should be made to this page.''
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The result was '''delete'''. Cab be userfied on request for improvement. <small><span style="border:1px solid black;padding:1px;">[[User:Sandstein|<span style="color:white;background:blue;font-family:sans-serif;">''' Sandstein '''</span>]]</span></small> 08:22, 29 April 2015 (UTC)
===[[Generalized quaternion interpolation]]===
:{{la|Generalized quaternion interpolation}} – (<includeonly>[[Wikipedia:Articles for deletion/Generalized quaternion interpolation|View AfD]]</includeonly><noinclude>[[Wikipedia:Articles for deletion/Log/2015 April
:({{Find sources AFD|Generalized quaternion interpolation}})
Outwith my area of expertise, but I couldn't establish its notability. Neither has anyone else in the 7 years it has been tagged for notability; hopefully at AfD we can get it resolved. [[User:Boleyn|Boleyn]] ([[User talk:Boleyn|talk]]) 16:57, 13 April 2015 (UTC)
:<small class="delsort-notice">Note: This debate has been included in the [[Wikipedia:WikiProject Deletion sorting/Science|list of Science-related deletion discussions]]. [[User:Gene93k|• Gene93k]] ([[User talk:Gene93k|talk]]) 18:35, 14 April 2015 (UTC)</small>
:<small class="delsort-notice">Note: This debate has been included in the [[Wikipedia:WikiProject Deletion sorting/Computing|list of Computing-related deletion discussions]]. [[User:Gene93k|• Gene93k]] ([[User talk:Gene93k|talk]]) 18:36, 14 April 2015 (UTC)</small>
* '''delete'''. I've read it through twice but can’t make sense of it. There are ways to do what it’s trying to do, interpolate between more than two quaternions, but it doesn’t seem to get close to any of them, or anything that I can make sense of.--<small>[[User:JohnBlackburne|JohnBlackburne]]</small><sup>[[User_talk:JohnBlackburne|words]]</sup><sub style="margin-left:-2.0ex;">[[Special:Contributions/JohnBlackburne|deeds]]</sub> 01:47, 20 April 2015 (UTC)
<div class="xfd_relist" style="border-top: 1px solid #AAA; border-bottom: 1px solid #AAA; padding: 0px 25px;"><span style="color: #FF4F00;">'''{{resize|91%|[[Wikipedia:Deletion process#Relisting discussions|Relisted]] to generate a more thorough discussion so a clearer consensus may be reached.}}'''</span><br />
<small>Please add new comments below this notice. Thanks, <span class="smallcaps" style="font-variant:small-caps;">[[User:Northamerica1000|North America]]<sup>[[User talk:Northamerica1000|<span style="font-size:x-small;">1000</span>]]</sup></span> 00:34, 21 April 2015 (UTC)</small><!-- from Template:Relist --></div>
*'''Delete''' I found the (single) reference online: [https://hal.archives-ouvertes.fr/inria-00073318/document]. The whole thing looks borderline [[WP:NOTESSAY]] and complete gibberish. I first tried to understand what this article is about without the reference with my smattering of elemental mathematics, and frankly the most basic things are not correctly explained. Some basic and probably incorrect summary of the reference follows with as little jargon as possible:
:::The main problem is to ''measure a 3d rotation''. We have multiple measurements with uncertainty attached to each of them and we want to take a guess of what the real value is. Notice this "value" is a three-parameter thing, for instance axis of rotation (2 degrees of freedom) and angle (1 DoF), so it can be represented by a unit vector of the quaternion space (if you forget about compositions of rotations, that's equivalent to a [[3-sphere]]).
:::The "naive" way to look at the problem is to use some weighted average of the measurements (it is already not that easy if measurements have inconsistent error bars). But the thing is, that average is not easy to define, for instance the average of a set of unit vectors is not a unit vector, so you cannot find a straightforward geometrical definition for "average" here, because there are additional constraints on our objects (they must fit on a sphere). The article then proceeds to describe an algorithm that supposedly finds a good solution to the problem for a reason I do not quite see.
:Even if the article was rewritten into a clear, concise and correct summary of that reference, I am still not seeing how this could possibly be considered notable. [[User:Tigraan|Tigraan]] ([[User talk:Tigraan|talk]]) 15:35, 22 April 2015 (UTC)
*'''Delete'''—I think [[User:Tigraan|Tigraan]]'s analysis is more than generous. I'm not finding any [[WP:RS]] where the concept is discussed under this name. Not sufficient notability for an article. [[User:Lesser Cartographies|Lesser Cartographies]] ([[User talk:Lesser Cartographies|talk]]) 22:33, 26 April 2015 (UTC)
*'''Comment'''. The goal is to find a unit quaternion ''m'' such that preimages of the points <math>p_i</math> under the exponential map sum to zero in the tangent space to the unit sphere at ''m'' (with weights <math>w_i</math>). The point(s) ''m'' solving this problem is/are the same as the [[Karcher mean]] on the three-sphere. So the subject of the article is not nonsense, in my opinion. Whether it has enough sense to keep, I defer to others' judgement, although I lean slightly towards "keep and improve" myself. [[User:Sławomir Biały|<span style="text-shadow:grey 0.3em 0.3em 0.1em; class=texhtml">Sławomir Biały</span>]] ([[User talk:Slawekb|talk]]) 11:48, 27 April 2015 (UTC)
:*{{reply to|Slawekb}} Any leads on where this has been discussed in the literature? I've happy to give quite a bit of leeway on math articles, but without any sources I'm concerned about the [[WP:OR]] aspect. [[User:Lesser Cartographies|Lesser Cartographies]] ([[User talk:Lesser Cartographies|talk]]) 06:57, 28 April 2015 (UTC)
::: I was able to find this: http://labvis.isr.uc.pt/robomat/papers/T1_2.pdf, which does something similar but without the weights. [[User:Sławomir Biały|<span style="text-shadow:grey 0.3em 0.3em 0.1em; class=texhtml">Sławomir Biały</span>]] ([[User talk:Slawekb|talk]]) 11:06, 28 April 2015 (UTC)
:::*{{reply to|Slawekb}} If you want to try your hand at incorporating this cite then that would be sufficient for me to change my !vote. [[User:Lesser Cartographies|Lesser Cartographies]] ([[User talk:Lesser Cartographies|talk]]) 06:52, 29 April 2015 (UTC)
:''The above discussion is preserved as an archive of the debate. <span style="color:red">'''Please do not modify it.'''</span> Subsequent comments should be made on the appropriate discussion page (such as the article's [[Help:Using talk pages|talk page]] or in a [[Wikipedia:Deletion review|deletion review]]). No further edits should be made to this page.'' <!--Template:Afd bottom--></div>
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