This talk will discuss the current state and development of frameworks like measures, currents, oriented and unoriented varifolds in diverse applications to shape analysis. We will emphasize the interest of the resulting metrics for diffeomorphic and non-diffeomorphic registration as well as shape classification.

This presentation is part of Minisymposium “MS75 - Geometric methods for shape analysis with applications to biomedical imaging and computational anatomy, Part II (2 parts)”
organized by: Joan Alexis Glaunès (MAP5, Université Paris Descartes) , Sergey Kushnarev (Singapore University of Technology and Design) , Mario Micheli (Harvey Mudd College) .

Authors:

Nicolas Charon (Johns Hopkins University)

Keywords:

computer vision, geometric measure theory, image registration, nonlinear optimization, shape analysis