Timeline for Coarea formula for measure of epsilon neighbourhood
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 10, 2022 at 12:34 | comment | added | Keen-ameteur | Okay, thanks again | |
| Aug 9, 2022 at 16:51 | comment | added | alesia | Or actually you could use coarea formula as well, but the issue again is that you need your isosurfaces to have finite area | |
| Aug 9, 2022 at 16:44 | comment | added | alesia | ah, it isn't even the coarea formula if you use minkowski contents, it's just the fact that a (locally) lipschitz function (of a real variable = tube radius) is the integral of its derivative | |
| Aug 9, 2022 at 7:54 | comment | added | Keen-ameteur | I was asking how to apply the coarea formula when the tubular neighborhood is locally Lipschitz. I am not sure how to derive it. | |
| Aug 9, 2022 at 7:50 | vote | accept | Keen-ameteur | ||
| Aug 8, 2022 at 15:23 | comment | added | alesia | which first property? As for the Minkowski content, it is basically the area of the boundary | |
| Aug 8, 2022 at 12:14 | comment | added | Keen-ameteur | First, thank you for your response. Do you know of a reference for the first property you stated? Do you know if there exist informative estimates for the Minkowski content aside from the Minkowski-Steiner formula? I think when $A\subseteq \mathbb{R}$ is compact, the Minkowski content of $A^\epsilon$ is the number of connected components of $A^\epsilon$. I was wonedring whether there are similar estitmates in $\mathbb{R}^d$. | |
| Aug 7, 2022 at 16:12 | history | edited | alesia | CC BY-SA 4.0 |
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| Aug 7, 2022 at 16:06 | history | edited | alesia | CC BY-SA 4.0 |
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| Aug 7, 2022 at 15:32 | history | answered | alesia | CC BY-SA 4.0 |