  Shape analysis and compuational anatomy both make use of sophisticated tools
from infinite-dimensional differential manifolds and Riemannian geometry on
spaces of functions. While comprehensive references for the mathematical
foundations exist, it is sometimes difficult to gain an overview how
differential geometry and functional analysis interact in a given problem. This
paper aims to provide a roadmap to the unitiated to the world of
infinite-dimensional Riemannian manifolds, spaces of mappings and Sobolev
metrics: all tools used in computational anatomy and shape analysis.
