Consistent estimation of a mean planar curve modulo similarities
Methodology
2012-11-01 v2
Abstract
We consider the problem of estimating a mean planar curve from a set of random planar curves observed on a -points deterministic design. We study the consistency of a smoothed Procrustean mean curve when the observations obey a deformable model including some nuisance parameters such as random translations, rotations and scaling. The main contribution of the paper is to analyze the influence of the dimension of the data and of the number of observed configurations on the convergence of the smoothed Procrustean estimator to the mean curve of the model. Some numerical experiments illustrate these results.
Cite
@article{arxiv.1110.5415,
title = {Consistent estimation of a mean planar curve modulo similarities},
author = {Jérémie Bigot and Benjamin Charlier},
journal= {arXiv preprint arXiv:1110.5415},
year = {2012}
}