Timeline for Finding the shortest curve that is at distance $\epsilon$ of every point of a surface
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2017 at 18:57 | comment | added | Anton Petrunin | @LCO "intrinsication" is a metric space, if it is compact then yes, there is an optimal curve (likely not smooth). | |
| Jan 16, 2017 at 13:51 | comment | added | Joseph O'Rourke | Related: "Optimal inspection path on a sphere." That question asked for the curve when $M$ is a sphere. See, in particular, the reference to von der Mosel & Gerlach's work on "sphere-filling ropes." | |
| Jan 16, 2017 at 9:03 | history | edited | LCO | CC BY-SA 3.0 |
added 18 characters in body
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| Jan 16, 2017 at 9:03 | comment | added | LCO | @AntonPetrunin, I'm not sure I understand your comment, what do you mean by "compactness of its intrisication"? I don't see what "more general" condition you are refering to? | |
| Jan 16, 2017 at 2:02 | answer | added | Victor Protsak | timeline score: 1 | |
| Jan 15, 2017 at 21:36 | comment | added | Anton Petrunin | @Wojowu "intrinsication" = "passing to the induced intrinsic metric" | |
| Jan 15, 2017 at 21:13 | comment | added | Wojowu | @AntonPetrunin What is an "intrinsication"? | |
| Jan 15, 2017 at 20:47 | comment | added | Anton Petrunin | For any metric space, compactness of its intrinsication is sufficient. For sure one may get a more general condition, but why do you need it? | |
| Jan 15, 2017 at 19:19 | history | asked | LCO | CC BY-SA 3.0 |