On estimating the perimeter using the alpha-shape
Arias Castro, Ery, Alberto Rodríguez‐Casal · Hispana · 2017
We consider the problem of estimating the perimeter of a smooth domain in the plane based on a sample from the uniform distribution over the domain. We study the performance of the estimator defined as the perimeter of the alpha-shape of the sample. Some numerical experiments corroborate our theoretical findings