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An Inexact Newton--Krylov Algorithm for Constrained Diffeomorphic Image Registration

An Inexact Newton--Krylov Algorithm for Constrained Diffeomorphic Image Registration

We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control. This leads to an infinite-dimensional partial differential equation (PDE) constrained optimization problem. The PDE constraint consists, in its simplest form, of a hyperbolic transport equation …