Nonparametric inference on manifolds : with applications to shape spaces [E-Book] / Abhishek Bhattacharya, Rabi Bhattacharya.
Bhattacharya, Abhishek, (author)
Bhattacharya, R. N., (author)
Cambridge : Cambridge University Press, 2012
1 online resource (xiii, 237 pages)
Institute of Mathematical Statistics monographs ; 2
Full Text
Table of Contents:
  • Introduction
  • Examples
  • Location and spread on metric spaces
  • Extrinsic analysis on manifolds
  • Intrinsic analysis on manifolds
  • Landmark-based shape spaces
  • Kendall's similarity shape spaces [characters omitted]
  • The planar shape space [characters omitted]
  • Reflection similarity shape spaces R[characters omitted]
  • Stiefel manifolds V[characters omitted]
  • Affine shape spaces A[characters omitted]
  • Real projective spaces and projective shape spaces
  • Nonparametric Bayes inference on manifolds
  • Nonparametric Bayes regression, classification and hypothesis testing on manifolds
  • Appendixes: A. Differentiable manifolds
  • B. Riemannian manifolds
  • C. Dirichlet processes
  • D. Parametric models on S[character omitted] and [characters omitted].