Optimal Diffeomorphic Matching

This book is aboutoptimal matching of dynamically deformable curves and surfaces in R3 with applications in biomedical imaging. In particular,it focusses on diffeomorphic matching which amounts to the solution of an optimization problem featuring a regularized disparity cost functional subject to a dynamical system in terms of a time-dependent family of diffeomorphisms in R3 describing the temporal deformation of the curve or surface under consideration. As applications in biomedical imaging, the optimal matching of snapshots from key anatomic parts of the human heart and the human brain is considered.