Timeline for Find the volume of Phobos and Deimos
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 5, 2016 at 14:59 | answer | added | RunnyKine | timeline score: 3 | |
| Apr 5, 2016 at 10:21 | comment | added | Szabolcs | @RunnyKine I don't need it right now, but feel free to post, I'm curious! | |
| Apr 5, 2016 at 2:25 | comment | added | RunnyKine | So, I have an alpha shapes approach, don't know if you're still interested in this. | |
| Oct 6, 2015 at 2:52 | answer | added | Bob Werner | timeline score: 10 | |
| Oct 5, 2015 at 1:11 | comment | added | user484 | In computer graphics there are various techniques for turning a bad triangle mesh into a volumetric representation; see Jacobson et al. (2013) and the references therein. If Mathematica doesn't have a good way to do it, I would export the vertex positions and normals to a point cloud, use MeshLab to create a clean mesh, and import it back into Mathematica. | |
| Oct 5, 2015 at 0:01 | answer | added | Anton Antonov | timeline score: 6 | |
| Oct 4, 2015 at 15:02 | comment | added | Peltio | Off the top of my head: slice the solid surface into intersection with parallel planes and then use one of those "is point inside a 2D polygon" test to see if it's inside. (@Szabolcs - you could not have seen my comment, so your question is more than justified). An even easier way: 3Dprint the darn satellites and put them into water to measure the displaced volume :-) | |
| Oct 4, 2015 at 15:01 | comment | added | Szabolcs | @Peltio Sorry, I did not see that comment! | |
| Oct 4, 2015 at 15:00 | comment | added | Peltio | My comment (which I deleted before hitting enter and writing this) was "IF you can find an efficient test to tell if a point is inside or outside the shape, you could try a Montecarlo method: generate random points in a cube containing your shape e see what fraction of them is inside the volume." (emphasis added now) :-) | |
| Oct 4, 2015 at 14:59 | comment | added | Szabolcs | @Peltio With the sorts of Monte Carlo volume computations I'm familiar with, you need to be able to tell if any point is inside or outside of the object. How would you do this here? If you can do that, that alone seems valuable enough to post. | |
| Oct 4, 2015 at 14:57 | comment | added | Peltio | I was going to suggest a Montecarlo method, but then I saw you want to use computational geometry procedures... | |
| Oct 4, 2015 at 13:54 | answer | added | Mariusz Iwaniuk | timeline score: 11 | |
| Oct 4, 2015 at 13:50 | history | tweeted | twitter.com/StackMma/status/650669254556127233 | ||
| Oct 4, 2015 at 12:35 | comment | added | user31001 | That is an unanswered question, hopefully not. See my questions here and here | |
| Oct 4, 2015 at 10:52 | history | asked | Szabolcs | CC BY-SA 3.0 |