The Geometry of Nonparametric Filament Estimation
classification
🧮 math.ST
astro-ph.IMstat.TH
keywords
filamentsdataestimatingestimatorgeometrymethodsnonparametricsupport
pith:6L7PZ36X Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{6L7PZ36X}
Prints a linked pith:6L7PZ36X badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We consider the problem of estimating filamentary structure from planar point process data. We make some connections with computational geometry and we develop nonparametric methods for estimating the filaments. We show that, under weak conditions, the filaments have a simple geometric representation as the medial axis of the data distribution's support. Our methods convert an estimator of the support's boundary into an estimator of the filaments. We also find the rates of convergence of our estimators.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.