PDE-constrained LDDMM via geodesic shooting and inexact Gauss-Newton-Krylov optimization using the incremental adjoint Jacobi equations

@article{Hernandez2019PDEconstrainedLV,
  title={PDE-constrained LDDMM via geodesic shooting and inexact Gauss-Newton-Krylov optimization using the incremental adjoint Jacobi equations},
  author={Monica Hernandez},
  journal={Physics in medicine and biology},
  year={2019},
  volume={64 2},
  pages={
          025002
        }
}
  • Monica Hernandez
  • Published 11 July 2018
  • Computer Science
  • Physics in medicine and biology
The class of non-rigid registration methods proposed in the framework of PDE-constrained large deformation diffeomorphic metric mapping is a particularly interesting family of physically meaningful diffeomorphic registration methods. Inexact Gauss-Newton-Krylov optimization has shown an excellent numerical accuracy and an extraordinarily fast convergence rate in this framework. However, the Galerkin representation of the non-stationary velocity fields does not provide proper geodesic paths. In… 

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