152059 20251017144621.0 doi 10.1016/j.jocs.2021.101470 sideral 126855 ART-2021-126855 eng Hernandez, M. Universidad de Zaragoza (orcid)0000-0003-1270-5852 Efficient momentum conservation constrained PDE-LDDMM with Gauss–Newton–Krylov optimization, Semi-Lagrangian Runge–Kutta solvers, and the band-limited parameterization 2021 Access copy available to the general public Unrestricted This 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. info:eu-repo/grantAgreement/ES/AEI/PID2019-104358RB-I00 info:eu-repo/grantAgreement/ES/AEI/TIN2016-80347-R info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 3.817 2021 COMPUTER SCIENCE, THEORY & METHODS 25 / 110 = 0.227 2021 Q1 T1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS 53 / 112 = 0.473 2021 Q2 T2 0.991 2021 Modeling and Simulation 2021 Q1 Computer Science (miscellaneous) 2021 Q1 8.8 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 5007 570 Universidad de Zaragoza Dpto. Informát.Ingenie.Sistms. Área Lenguajes y Sistemas Inf. 55 (2021), 101470 [18 pp.] J. comput. sci. Journal of computational science 1877-7503 2334520 http://zaguan.unizar.es/record/152059/files/texto_completo.pdf Versión publicada 2588779 http://zaguan.unizar.es/record/152059/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:152059 articulos driver 2025-10-17-14:21:41 ARTICLE