Projective shape manifolds and coplanarity of landmark configurations. A nonparametric approach

This is a paper in 2D projective shape statistical analysis, with an application to face analysis. We test nonparametric methodology for an analysis of shapes of almost planar configurations of landmarks on real scenes from their regular camera pictures. Projective shapes are regarded as points on projective shape manifolds. Using large sample and nonparametric bootstrap methodology for intrinsic total variance on manifolds, we derive tests for coplanarity of a configuration of landmarks, and apply it our results to a BBC image data set for face recognition, that was previous analyzed using planar projective shape.