Title: 3D mean Projective Shape Difference for Face Differentiation from Multiple Digital Camera Images,
Abstract: We give a nonparametric methodology for hypothesis testing for equality of
extrinsic mean objects on a manifold embedded in a numerical spaces. The
results obtained in the general setting are detailed further in the case of 3D
projective shapes represented in a space of symmetric matrices via the
quadratic Veronese-Whitney (VW) embedding. Large sample and nonparametric
bootstrap confidence regions are derived for the common VW-mean of random
projective shapes for finite 3D configurations. As an example, the VW MANOVA
testing methodology is applied to the multi-sample mean problem for independent
projective shapes of $3D$ facial configurations retrieved from digital images,
via Agisoft PhotoScan technology.