86505 20200716101515.0 doi 10.1088/1361-6560/aaf598 sideral 110395 ART-2019-110395 eng (orcid)0000-0003-1270-5852 Hernandez, M. Universidad de Zaragoza PDE-constrained LDDMM via geodesic shooting and inexact Gauss-Newton-Krylov optimization using the incremental adjoint Jacobi equations 2019 Access copy available to the general public Unrestricted 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 this work, we propose a method for PDE-constrained LDDMM parameterized in the space of initial velocity fields under the EPDiff equation. The derivation of the gradient and the Hessian-vector products are performed on the final velocity field and transported backward using the adjoint and the incremental adjoint Jacobi equations. This way, we avoid the complex dependence on the initial velocity field in the computations. We also avoid the computation of the adjoint equation and its incremental counterpart that has been recently identified as a subtle problem in PDE-constrained LDDMM. The proposed method provides geodesics in the framework of PDE-constrained LDDMM, and it shows performance competing with benchmark PDE-constrained LDDMM and EPDiff-LDDMM methods. info:eu-repo/grantAgreement/ES/MINECO/TIN2016-80347-R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.883 2019 RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING 46 / 133 = 0.346 2019 Q2 T2 ENGINEERING, BIOMEDICAL 34 / 87 = 0.391 2019 Q2 T2 1.143 2019 Radiology, Nuclear Medicine and Imaging 2019 Q1 Radiological and Ultrasound Technology 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 5007 570 Universidad de Zaragoza Dpto. Informát.Ingenie.Sistms. Área Lenguajes y Sistemas Inf. 64, 2 (2019), 025002 [16 pp] Phys. med. biol. Physics in Medicine and Biology 0031-9155 922144 http://zaguan.unizar.es/record/86505/files/texto_completo.pdf Postprint 69001 http://zaguan.unizar.es/record/86505/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:86505 articulos driver 2020-07-16-09:21:51 ARTICLE