000152059 001__ 152059
000152059 005__ 20250326144155.0
000152059 0247_ $$2doi$$a10.1016/j.jocs.2021.101470
000152059 0248_ $$2sideral$$a126855
000152059 037__ $$aART-2021-126855
000152059 041__ $$aeng
000152059 100__ $$0(orcid)0000-0003-1270-5852$$aHernandez, M.$$uUniversidad de Zaragoza
000152059 245__ $$aEfficient momentum conservation constrained PDE-LDDMM with Gauss–Newton–Krylov optimization, Semi-Lagrangian Runge–Kutta solvers, and the band-limited parameterization
000152059 260__ $$c2021
000152059 5060_ $$aAccess copy available to the general public$$fUnrestricted
000152059 5203_ $$aThis paper proposes three efficient variants of Jacobi EPDiff PDE-LDDMM, where efficiency is achieved through Semi-Lagrangian Runge–Kutta integration and the band-limited parameterization. During Gauss–Newton–Krylov optimization, the method computes the gradient and the Hessian-vector product on the final time sample, and transports these magnitudes towards the initial time using the adjoint Jacobi equations and their incremental counterparts. Then, the optimization is performed on the initial time sample. The proposed methods have effectively achieved a considerable reduction of the computational complexity at a competitive accuracy. These variants constitute a contribution to the efficient computation of diffeomorphisms belonging to geodesics, suitable for statistical shape analysis or the construction of transversal and longitudinal models of shape variability using Principal Geodesic Analysis and Geodesic Regression in spaces of diffeomorphisms.
000152059 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2019-104358RB-I00$$9info:eu-repo/grantAgreement/ES/AEI/TIN2016-80347-R
000152059 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000152059 590__ $$a3.817$$b2021
000152059 591__ $$aCOMPUTER SCIENCE, THEORY & METHODS$$b25 / 110 = 0.227$$c2021$$dQ1$$eT1
000152059 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b53 / 112 = 0.473$$c2021$$dQ2$$eT2
000152059 592__ $$a0.991$$b2021
000152059 593__ $$aModeling and Simulation$$c2021$$dQ1
000152059 593__ $$aComputer Science (miscellaneous)$$c2021$$dQ1
000152059 594__ $$a8.8$$b2021
000152059 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000152059 7102_ $$15007$$2570$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Lenguajes y Sistemas Inf.
000152059 773__ $$g55 (2021), 101470 [18 pp.]$$pJ. comput. sci.$$tJournal of computational science$$x1877-7503
000152059 8564_ $$s2334520$$uhttps://zaguan.unizar.es/record/152059/files/texto_completo.pdf$$yVersión publicada
000152059 8564_ $$s2588779$$uhttps://zaguan.unizar.es/record/152059/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000152059 909CO $$ooai:zaguan.unizar.es:152059$$particulos$$pdriver
000152059 951__ $$a2025-03-26-13:54:14
000152059 980__ $$aARTICLE