A lagrangian formulation for statistical fluid registration.

A LAGRANGIAN FORMULATION FOR STATISTICAL FLUID REGISTRATION. Proc IEEE Int Symp Biomed Imaging. 2009 Jun-Jul;2009:975-978 Authors: Brun CC, Lepore N, Pennec X, Chou YY, Lee AD, Barysheva M, de Zubicaray GI, McMahon KL, Wright MJ, Toga AW, Thompson PM Abstract We defined a new statistical fluid registration method with Lagrangian mechanics. Although several authors have suggested that empirical statistics on brain variation should be incorporated into the registration problem, few algorithms have included this information and instead use regularizers that guarantee diffeomorphic mappings. Here we combine the advantages of a large-deformation fluid matching approach with empirical statistics on population variability in anatomy. We reformulated the Riemannian fluid algorithm developed in [4], and used a Lagrangian framework to incorporate 0 th and 1 rst order statistics in the regularization process. 92 2D midline corpus callosum traces from a twin MRI database were fluidly registered using the non-statistical version of the algorithm (algorithm 0), giving initial vector fields and deformation tensors. Covariance matrices were computed for both distributions and incorporated either separately (algorithm 1 and algorithm 2) or together (algorithm 3) in the registration. We computed heritability maps and two vector and tensor-based distances to compare the power and the robustness of the algorithms. PMID: 30555621 [PubMed]
Source: Proceedings - International Symposium on Biomedical Imaging - Category: Radiology Tags: Proc IEEE Int Symp Biomed Imaging Source Type: research