Estimation of surface area

We study the problem of estimating the surface area of the boundary ∂S of a sufficiently smooth set S ⊂ Rd when the available information is only a finite subset Xn ⊂ S. We propose two estimators. The first makes use of the Devroye–Wise support estimator and is based on Crofton’s formula, which, rou...

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Bibliographic Details

Main Author:	Aaron, Catherine (author)
Other Authors:	Cholaquidis, Alejandro (author), Fraiman, Ricardo (author)
Format:	article
Language:	English
Published:	2022
Subjects:	Crofton’s formula Surface estimation α-convex hull Devroye–Wise estimator
Online Access:	https://hdl.handle.net/20.500.12008/37375
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