Nonparametric statistics on manifolds with applications to shape spaces

Details Nonparametric statistics on manifolds with applications to shape spaces Nonparametric statistics on manifolds with applications to shape spaces

2008-05-21

arxiv.org/abs/0805.3282v1

IMS Collections 2008, Vol. 3, 282-301

Mathematics

Geometric Topology

Published in at http://dx.doi.org/10.1214/074921708000000200 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/074921708000000200

This article presents certain recent methodologies and some new results for
the statistical analysis of probability distributions on manifolds. An
important example considered in some detail here is the 2-D shape space of
k-ads, comprising all configurations of $k$ planar landmarks ($k>2$)-modulo
translation, scaling and rotation.

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