Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images

Accurate geometric modeling of blood vessel lumen from 3D images is crucial for vessel quantification as part of the diagnosis, treatment, and monitoring of vascular diseases. Our method, unlike other approaches which assume a circular or elliptical vessel cross-section, employs parametric B-splines...

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Main Authors: Andrzej Materka, Jakub Jurek
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/24/3/846
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author Andrzej Materka
Jakub Jurek
author_facet Andrzej Materka
Jakub Jurek
author_sort Andrzej Materka
collection DOAJ
description Accurate geometric modeling of blood vessel lumen from 3D images is crucial for vessel quantification as part of the diagnosis, treatment, and monitoring of vascular diseases. Our method, unlike other approaches which assume a circular or elliptical vessel cross-section, employs parametric B-splines combined with image formation system equations to accurately localize the highly curved lumen boundaries. This approach avoids the need for image segmentation, which may reduce the localization accuracy due to spatial discretization. We demonstrate that the model parameters can be reliably identified by a feedforward neural network which, driven by the cross-section images, predicts the parameter values many times faster than a reference least-squares (LS) model fitting algorithm. We present and discuss two example applications, modeling the lower extremities of artery–vein complexes visualized in steady-state contrast-enhanced magnetic resonance images (MRI) and the coronary arteries pictured in computed tomography angiograms (CTA). Beyond applications in medical diagnosis, blood-flow simulation and vessel-phantom design, the method can serve as a tool for automated annotation of image datasets to train machine-learning algorithms.
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spelling doaj.art-c14c29613ab748da89e3ca2d228d80be2024-02-09T15:22:01ZengMDPI AGSensors1424-82202024-01-0124384610.3390/s24030846Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D ImagesAndrzej Materka0Jakub Jurek1Institute of Electronics, Lodz University of Technology, 90-924 Lodz, PolandInstitute of Electronics, Lodz University of Technology, 90-924 Lodz, PolandAccurate geometric modeling of blood vessel lumen from 3D images is crucial for vessel quantification as part of the diagnosis, treatment, and monitoring of vascular diseases. Our method, unlike other approaches which assume a circular or elliptical vessel cross-section, employs parametric B-splines combined with image formation system equations to accurately localize the highly curved lumen boundaries. This approach avoids the need for image segmentation, which may reduce the localization accuracy due to spatial discretization. We demonstrate that the model parameters can be reliably identified by a feedforward neural network which, driven by the cross-section images, predicts the parameter values many times faster than a reference least-squares (LS) model fitting algorithm. We present and discuss two example applications, modeling the lower extremities of artery–vein complexes visualized in steady-state contrast-enhanced magnetic resonance images (MRI) and the coronary arteries pictured in computed tomography angiograms (CTA). Beyond applications in medical diagnosis, blood-flow simulation and vessel-phantom design, the method can serve as a tool for automated annotation of image datasets to train machine-learning algorithms.https://www.mdpi.com/1424-8220/24/3/846blood vesselslumen quantificationcenterlinedeep learning3D imagesB-splines
spellingShingle Andrzej Materka
Jakub Jurek
Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
Sensors
blood vessels
lumen quantification
centerline
deep learning
3D images
B-splines
title Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
title_full Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
title_fullStr Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
title_full_unstemmed Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
title_short Using Deep Learning and B-Splines to Model Blood Vessel Lumen from 3D Images
title_sort using deep learning and b splines to model blood vessel lumen from 3d images
topic blood vessels
lumen quantification
centerline
deep learning
3D images
B-splines
url https://www.mdpi.com/1424-8220/24/3/846
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AT jakubjurek usingdeeplearningandbsplinestomodelbloodvessellumenfrom3dimages