医学图像处理中的一些几何方法。目录：

Part 1 Foundations of geometric statistics
1. Introduction to differential and Riemannian geometry
2. Statistics on manifolds
3. Manifold-valued image processing with SPD matrices
4. Riemannian geometry on shapes and diffeomorphisms
5. Beyond Riemannian geometry

Part 2 Statistics on manifolds and shape spaces
6. Object shape representation via skeletal models (s-reps) and statistical analysis
7. Efficient recursive estimation of the Riemannian barycenter on the hypersphere and the special orthogonal group with applications
8. Statistics on stratified spaces
9. Bias on estimation in quotient space and correction methods
10. Probabilistic approaches to geometric statistics
11. On shape analysis of functional data

Part 3 Deformations, diffeomorphisms and their applications
12. Fidelity metrics between curves and surfaces: currents, varifolds, and normal cycles
13. A discretize–optimize approach for LDDMM registration
14. Spatially adaptive metrics for diffeomorphic image matching in LDDMM
15. Low-dimensional shape analysis in the space of diffeomorphisms
16. Diffeomorphic density registration