Timeline for The mean of points on a unit n-sphere $S^n$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 11, 2018 at 5:18 | comment | added | Aleph0 | Nice question. Our company has just the same kind of problems. In our case we are dealing with rotations viz. quaternions. Quaternions that are rotations are just points on a 4-dimensional sphere. | |
| Feb 22, 2016 at 23:36 | answer | added | John D. Cook | timeline score: 3 | |
| Feb 19, 2016 at 7:20 | comment | added | kodlu | you're right, of course... | |
| Feb 18, 2016 at 16:39 | comment | added | Sebastian Goette | @kodlu I don't understand the "nor": if you allow a minimiser outside the sphere, then you can pick a unique one. | |
| Feb 18, 2016 at 14:22 | vote | accept | nino | ||
| Feb 18, 2016 at 14:10 | answer | added | Peter Michor | timeline score: 13 | |
| Feb 18, 2016 at 13:55 | comment | added | kodlu | In $R^n$ the mean is the value of $\mu$ that minimizes $\sum (x_i-\mu)^2.$ For your case the minimizer computed similarly from $\rho$ won't necessarily be unique, nor on the sphere, I think. | |
| Feb 18, 2016 at 13:53 | answer | added | Sebastian Goette | timeline score: 8 | |
| Feb 18, 2016 at 13:26 | comment | added | nino | The mean/average of a given set of points on the sphere | |
| Feb 18, 2016 at 13:13 | comment | added | Igor Rivin | What is the centroid in your setting? | |
| Feb 18, 2016 at 13:01 | history | asked | nino | CC BY-SA 3.0 |