Nonparametric Regression Modeling of Shape Data Using Ordinary Procrustes Analysis

From a topological viewpoint, shape data are points on a particular manifold and so to construct a longitudinal model for treating shape variation is not as trivial as thought. Unlike using the common parametric models to do such a task, we invoke Procrustes analysis in the context of a nonparametric framework. After conveying the problem into the nonparametric regression model, we utilize the wei...