Table of Contents:
  • Ch. 1. Shapes and Shape Spaces
  • Ch. 2. The Global Structure of Shape Spaces
  • Ch. 3. Computing the Homology of Cell Complexes
  • Ch. 4. A Chain Complex for Shape Spaces
  • Ch. 5. The Homology Groups of Shape Spaces
  • Ch. 6. Geodesics in Shape Spaces
  • Ch. 7. The Riemannian Structure of Shape Spaces
  • Ch. 8. Induced Shape-Measures
  • Ch. 9. Mean Shapes and The Shape of the Means
  • Ch. 10. Visualising The Higher Dimensional Shape Spaces
  • Ch. 11. General Shape Spaces
  • App. A.1. Unary operators on groups
  • App. A.2. Binary operators on groups
  • App. A.3. The Universal Coefficient Theorems
  • App. A.4. Duality in manifolds
  • App. A.5. The splitting of exact sequences.