Timeline for Generate a set of orthogonal vectors to a given vector
Current License: CC BY-SA 3.0
13 events
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| Sep 13, 2017 at 16:58 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 13, 2017 at 9:08 | vote | accept | Tolga Birdal | ||
| Sep 13, 2017 at 1:56 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 12, 2017 at 23:59 | comment | added | Tolga Birdal | Glad to hear that. Your reply was a great mind opener and of huge help. I appreciate a lot. | |
| Sep 12, 2017 at 23:51 | comment | added | Kirill | @TolgaBirdal I think your question is very nice: at first I thought the difficulty of computing this was numerical, but it turned out to be purely mathematical instead. | |
| Sep 12, 2017 at 23:45 | comment | added | Tolga Birdal | Even though I am kinda aware of the quaternions and parallel transport theorem, such a map wasn't immediate for me. Thanks for pointing that out. | |
| Sep 12, 2017 at 23:45 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 12, 2017 at 23:42 | comment | added | Kirill | @TolgaBirdal Using quaternions to represent 4d, and unit quaternions to represent the unit sphere is a pretty rich topic, in particular it's well-used in computer graphics to represent rotations (because the rotation group in 3d is double-covered by the 3-sphere, which is the group unit quaternions), so anything I can say more is probably already said even on Wikipedia (en.wikipedia.org/wiki/Quaternion). | |
| Sep 12, 2017 at 23:38 | comment | added | Tolga Birdal | This is amazing. I am tending towards accepting this answer due to the simplicity and the mathematical thoroughness. One of my cases was exactly quaternions ($d=4$) and this is properly addressed in your reply. If you like to elaborate more for the properties of the case of $d=4$ that would be very welcome. | |
| Sep 12, 2017 at 23:23 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 12, 2017 at 23:14 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 12, 2017 at 22:59 | history | edited | Kirill | CC BY-SA 3.0 |
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| Sep 12, 2017 at 22:53 | history | answered | Kirill | CC BY-SA 3.0 |