Two Sample Test for Extrinsic Antimeans on Kendall Planar Shape Spaces with Applications to Medical Imaging

This paper is specialized in deriving a large sample chi-square test for the equality of two extrinsic antimeans on a compact manifolds, using recent limit theorems for extrinsic sample antimeans relative to an arbitrary embedding of a such manifold into an Euclidean space. Applications are given to distributions on planar Kendall shape spaces, in their complex projective space representations, that are Veronese-Whitney embedded in spaces of self-adjoint matrices. Two medical imaging examples are also given.