Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
Explore a 21-minute mathematics lecture from the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" that delves into shape analysis and computational anatomy through the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework. Learn how strong right-invariant sub-Riemmannian metrics on diffeomorphisms groups define shape spaces and characterize shape variations through diffeomorphic deformations. Discover recent work on extending this framework to more general half-Lie groups for capturing new motions, including the recovery of metric results and derivation of sub-Riemannian Euler-Arnold equations. Examine practical applications through the specific example of multi-scale registration, presented at the Erwin Schrödinger International Institute for Mathematics and Physics.
