Timeline for Is there a name for the level-sets of the signed distance function to a set in a metric space?
Current License: CC BY-SA 3.0
6 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Feb 16, 2015 at 0:04 | comment | added | Joseph O'Rourke | @Travis: This is a stretch, but I just remembered that one can smooth a shape using the medial axis: "Shape Smoothing Using Medial Axis Properties," (journal link). And the medial axis is very much related to your $S_{-\sigma}$. | |
| Feb 15, 2015 at 22:46 | comment | added | Joseph O'Rourke | @Travis: Interesting smoothing operation. Surely this must have been investigated, but I am not recalling references... | |
| Feb 15, 2015 at 22:14 | comment | added | Travis | Awesome, thank you. I am also interested in the following operation: Fix some $\sigma > 0$ and map each set $S$ to the double-offset polygon $(S_{-\sigma})_\sigma$ where we first shrink it by a distance $\sigma$ and then enlarge it again. This has the effect of smoothing out any details of the set $S$ that are smaller than $\sigma$. Does this have a name? | |
| Feb 15, 2015 at 22:04 | vote | accept | Travis | ||
| Feb 15, 2015 at 18:53 | history | answered | Joseph O'Rourke | CC BY-SA 3.0 |