Timeline for Thales Style Level Sets
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
|
|
| Apr 1, 2015 at 6:47 | comment | added | Thomas Richard | I can write down an explicit formula in finite time for plane polygons, but it will be ugly... | |
| Mar 31, 2015 at 22:02 | comment | added | The Masked Avenger | At some point an anologous problem observing 3d objects in 3d space can be considered, but then the steradial projection may vary for other reasons, complicating the analysis. There are enough subtleties in this version that I think it important to consider the vision problem in this special form. | |
| Mar 31, 2015 at 20:09 | comment | added | Thomas Richard | Except the original motivation, is it that important to restrict the question to plane 2-dimensional figures ? (Actually the only sets for which I can answer the question are balls !) | |
| Mar 30, 2015 at 19:33 | comment | added | The Masked Avenger | @Joseph, I suspect for the disk it will be a surface of revolution based on a curve simply derived from the graph that Douglas Zare provided to your question. I conjecture ellipsoid just to give people something to refute, even though it is a natural first guess. For a rectangular region, one could imagine a parameterized surface which sliced in one direction resembles circular arcs of measure alpha and sliced in an orthogonal direction has measure beta; I expect reality will be more complicated. In order to draw out the subtleties, I proposed an H region instead. | |
| Mar 30, 2015 at 11:35 | comment | added | Joseph O'Rourke | I like your ellipsoid conjecture for the disk, although perhaps it will only be "ellipsoid-like." | |
| Mar 29, 2015 at 1:09 | history | asked | The Masked Avenger | CC BY-SA 3.0 |