Nonparametric Inference on Manifolds : With Applications to Shape Spaces (Paperback)

1. Introduction; 2. Examples; 3. Location and spread on metric spaces; 4. Extrinsic analysis on manifolds; 5. Intrinsic analysis on manifolds; 6. Landmark-based shape spaces; 7. Kendall's similarity shape spaces Σkm; 8. The planar shape space Σk2; 9. Reflection similarity shape spaces RΣkm; 10. Stiefel manifolds; 11. Affine shape spaces AΣkm; 12. Real projective spaces and projective shape spaces; 13. Nonparametric Bayes inference; 14. Regression, classification and testing; i. Differentiable manifolds; ii. Riemannian manifolds; iii. Dirichlet processes; iv. Parametric models on Sd and Σk2; References; Subject index.