Riemannian metric and Lie bracket in computational anatomy

In computational anatomy, Riemannian metrics and Lie brackets are important concepts used to analyze and model the shapes and structures of anatomical objects, such as biological forms and organ shapes. Let's explore both concepts: ### Riemannian Metric A **Riemannian metric** is a mathematical structure that defines the way distances and angles are measured on a manifold, which can be thought of as a generalized space that can have curved geometry.