Neural Fields for Continuous Periodic Motion Estimation in 4D Cardiovascular Imaging

Fuente: arXiv
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Auteurs principaux: Garzia, Simone, Rygiel, Patryk, Dummer, Sven, Cademartiri, Filippo, Celi, Simona, Wolterink, Jelmer M.
Format: Preprint
Publié: 2024
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author Garzia, Simone
Rygiel, Patryk
Dummer, Sven
Cademartiri, Filippo
Celi, Simona
Wolterink, Jelmer M.
author_facet Garzia, Simone
Rygiel, Patryk
Dummer, Sven
Cademartiri, Filippo
Celi, Simona
Wolterink, Jelmer M.
contents Time-resolved three-dimensional flow MRI (4D flow MRI) provides a unique non-invasive solution to visualize and quantify hemodynamics in blood vessels such as the aortic arch. However, most current analysis methods for arterial 4D flow MRI use static artery walls because of the difficulty in obtaining a full cycle segmentation. To overcome this limitation, we propose a neural fields-based method that directly estimates continuous periodic wall deformations throughout the cardiac cycle. For a 3D + time imaging dataset, we optimize an implicit neural representation (INR) that represents a time-dependent velocity vector field (VVF). An ODE solver is used to integrate the VVF into a deformation vector field (DVF), that can deform images, segmentation masks, or meshes over time, thereby visualizing and quantifying local wall motion patterns. To properly reflect the periodic nature of 3D + time cardiovascular data, we impose periodicity in two ways. First, by periodically encoding the time input to the INR, and hence VVF. Second, by regularizing the DVF. We demonstrate the effectiveness of this approach on synthetic data with different periodic patterns, ECG-gated CT, and 4D flow MRI data. The obtained method could be used to improve 4D flow MRI analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20728
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neural Fields for Continuous Periodic Motion Estimation in 4D Cardiovascular Imaging
Garzia, Simone
Rygiel, Patryk
Dummer, Sven
Cademartiri, Filippo
Celi, Simona
Wolterink, Jelmer M.
Computer Vision and Pattern Recognition
Time-resolved three-dimensional flow MRI (4D flow MRI) provides a unique non-invasive solution to visualize and quantify hemodynamics in blood vessels such as the aortic arch. However, most current analysis methods for arterial 4D flow MRI use static artery walls because of the difficulty in obtaining a full cycle segmentation. To overcome this limitation, we propose a neural fields-based method that directly estimates continuous periodic wall deformations throughout the cardiac cycle. For a 3D + time imaging dataset, we optimize an implicit neural representation (INR) that represents a time-dependent velocity vector field (VVF). An ODE solver is used to integrate the VVF into a deformation vector field (DVF), that can deform images, segmentation masks, or meshes over time, thereby visualizing and quantifying local wall motion patterns. To properly reflect the periodic nature of 3D + time cardiovascular data, we impose periodicity in two ways. First, by periodically encoding the time input to the INR, and hence VVF. Second, by regularizing the DVF. We demonstrate the effectiveness of this approach on synthetic data with different periodic patterns, ECG-gated CT, and 4D flow MRI data. The obtained method could be used to improve 4D flow MRI analysis.
title Neural Fields for Continuous Periodic Motion Estimation in 4D Cardiovascular Imaging
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2407.20728