Research ArticleOpen Access

Understanding the Connections between Inexact Newton- Krylov PDE-Constrained LDDMM and LDDMM via Geodesic Shooting and Efficient Adjoint Calculation

Volume 4 - Issue 1

Monica Hernandez*

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- Computer Sciences Department, Aragon Institute on Engineering Research (I3A), University of Zaragoza, Spain
*Corresponding author: Monica Hernandez, Computer Sciences Department, Aragon Institute on Engineering Research (I3A), University of Zaragoza, Spain

Received: February 02, 2018; Published: April 23, 2018

DOI: 10.26717/BJSTR.2018.04.000990

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Abstract

This work studies the connections between two PDE-constrained diffeomor-phic registration methods. The methods have been selected for their relevance in the diffeomorphic registration literature. From the initial PDE-constrained variational formulation, the methods seem to be highly unrelated. However, an in-depth study of the derivations involved in the computation of the optimiza-tion ingredients reveals interesting connections that are worth to be stated. The insights provided in this work may bridge the gap between both methods, underpinning the proposal of improved PDE-constrained LDDMM methods.