Efficient momentum conservation constrained PDE-LDDMM with Gauss–Newton–Krylov optimization, Semi-Lagrangian Runge–Kutta solvers, and the band-limited parameterization

Hernandez, M. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.jocs.2021.101470

Año: 2021

Publicado en: Journal of computational science 55 (2021), 101470 [18 pp.]
ISSN: 1877-7503

Factor impacto JCR: 3.817 (2021)

Categ. JCR: COMPUTER SCIENCE, THEORY & METHODS rank: 25 / 110 = 0.227 (2021) - Q1 - T1
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 53 / 112 = 0.473 (2021) - Q2 - T2

Factor impacto CITESCORE: 8.8 - Mathematics (Q1) - Computer Science (Q1)

Factor impacto SCIMAGO: 0.991 - Modeling and Simulation (Q1) - Computer Science (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2019-104358RB-I00
Financiación: info:eu-repo/grantAgreement/ES/AEI/TIN2016-80347-R

Tipo y forma: Article (Published version)

Área (Departamento): Área Lenguajes y Sistemas Inf. (Dpto. Informát.Ingenie.Sistms.)