Nonparametric statistics on manifolds with applications to shape spaces

By Abhishek Bhattacharya, Rabi N. Bhattacharya. 2008

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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.

Subfields: Artificial Intelligence, Environmental Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/009b1776900d33c7befe0af3870d04ab30b4236d