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Equilibrated warping: Finite element image registration with finite strain equilibrium gap regularization

Genet, M; Stoeck, C T; von Deuster, C; Lee, L C; Kozerke, S (2018). Equilibrated warping: Finite element image registration with finite strain equilibrium gap regularization. Medical Image Analysis, 50:1-22.

Abstract

In this paper, we propose a novel continuum finite strain formulation of the equilibrium gap regularization for image registration. The equilibrium gap regularization essentially penalizes any deviation from the solution of a hyperelastic body in equilibrium with arbitrary loads prescribed at the boundary. It thus represents a regularization with strong mechanical basis, especially suited for cardiac image analysis. We describe the consistent linearization and discretization of the regularized image registration problem, in the framework of the finite elements method. The method is implemented using FEniCS & VTK, and distributed as a freely available python library. We show that the equilibrated warping method is effective and robust: regularization strength and image noise have minimal impact on motion tracking, especially when compared to strain-based regularization methods such as hyperelastic warping. We also show that equilibrated warping is able to extract main deformation features on both tagged and untagged cardiac magnetic resonance images.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:04 Faculty of Medicine > Institute of Biomedical Engineering
Dewey Decimal Classification:170 Ethics
610 Medicine & health
Scopus Subject Areas:Health Sciences > Radiological and Ultrasound Technology
Health Sciences > Radiology, Nuclear Medicine and Imaging
Physical Sciences > Computer Vision and Pattern Recognition
Health Sciences > Health Informatics
Physical Sciences > Computer Graphics and Computer-Aided Design
Uncontrolled Keywords:Radiological and Ultrasound Technology, Health Informatics, Radiology Nuclear Medicine and imaging, Computer Vision and Pattern Recognition, Computer Graphics and Computer-Aided Design
Language:English
Date:1 December 2018
Deposited On:06 Mar 2019 13:43
Last Modified:19 Jun 2025 01:37
Publisher:Elsevier
ISSN:1361-8415
OA Status:Closed
Publisher DOI:https://doi.org/10.1016/j.media.2018.07.007
PubMed ID:30173000
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