000086505 001__ 86505
000086505 005__ 20200716101515.0
000086505 0247_ $$2doi$$a10.1088/1361-6560/aaf598
000086505 0248_ $$2sideral$$a110395
000086505 037__ $$aART-2019-110395
000086505 041__ $$aeng
000086505 100__ $$0(orcid)0000-0003-1270-5852$$aHernandez, M.$$uUniversidad de Zaragoza
000086505 245__ $$aPDE-constrained LDDMM via geodesic shooting and inexact Gauss-Newton-Krylov optimization using the incremental adjoint Jacobi equations
000086505 260__ $$c2019
000086505 5060_ $$aAccess copy available to the general public$$fUnrestricted
000086505 5203_ $$aThe 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.
000086505 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/TIN2016-80347-R
000086505 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000086505 590__ $$a2.883$$b2019
000086505 591__ $$aRADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING$$b46 / 133 = 0.346$$c2019$$dQ2$$eT2
000086505 591__ $$aENGINEERING, BIOMEDICAL$$b34 / 87 = 0.391$$c2019$$dQ2$$eT2
000086505 592__ $$a1.143$$b2019
000086505 593__ $$aRadiology, Nuclear Medicine and Imaging$$c2019$$dQ1
000086505 593__ $$aRadiological and Ultrasound Technology$$c2019$$dQ1
000086505 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000086505 7102_ $$15007$$2570$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Lenguajes y Sistemas Inf.
000086505 773__ $$g64, 2 (2019), 025002 [16 pp]$$pPhys. med. biol.$$tPhysics in Medicine and Biology$$x0031-9155
000086505 8564_ $$s922144$$uhttps://zaguan.unizar.es/record/86505/files/texto_completo.pdf$$yPostprint
000086505 8564_ $$s69001$$uhttps://zaguan.unizar.es/record/86505/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000086505 909CO $$ooai:zaguan.unizar.es:86505$$particulos$$pdriver
000086505 951__ $$a2020-07-16-09:21:51
000086505 980__ $$aARTICLE