Riemannian Geometric Statistics in Medical Image Analysis

15

Low-dimensional shape analysis in the space of diffeomorphisms

Miaomiao Zhang^a; Polina Golland^b; William M. Wells III^c; Tom Fletcher^d    aWashington University in St. Louis, Computer Science and Engineering, St. Louis, MO, United States^bMassachusetts Institute of Technology, Computer Science and Artificial Intelligence Lab, Cambridge, MA, United States^cHarvard Medical School, Department of Radiology, Boston, MA, United States^dUniversity of Virginia, Departments of Electrical & Computer Engineering and Computer Science, Charlottesville, VA, United States

Abstract

Statistical shape analysis via diffeomorphic image registration is challenging due to the high-dimensional and nonlinear nature of the space of diffeomorphisms. In this chapter, we first ...