Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Estimating the Perimeter Using the Alpha-Shape   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.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org