4DFlowNet: Super-Resolution 4D Flow MRI using Deep Learning and Computational Fluid Dynamics
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Abstract (arXiv)
4D-flow magnetic resonance imaging (MRI) is an emerging imaging technique where spatiotemporal 3D blood velocity can be captured with full volumetric coverage in a single non-invasive examination. This enables qualitative and quantitative analysis of hemodynamic flow parameters of the heart and great vessels. An increase in the image resolution would provide more accuracy and allow better assessment of the blood flow, especially for patients with abnormal flows. However, this must be balanced with increasing imaging time. The recent success of deep learning in generating super resolution images shows promise for implementation in medical images. We utilized computational fluid dynamics simulations to generate fluid flow simulations and represent them as synthetic 4D flow MRI data. We built our training dataset to mimic actual 4D flow MRI data with its corresponding noise distribution. Our novel 4DFlowNet network was trained on this synthetic 4D flow data and was capable in producing noise-free super resolution 4D flow phase images with upsample factor of 2. We also tested the 4DFlowNet in actual 4D flow MR images of a phantom and normal volunteer data, and demonstrated comparable results with the actual flow rate measurements giving an absolute relative error of 0.6 to 5.8% and 1.1 to 3.8% in the phantom data and normal volunteer data, respectively.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Apr 2020.
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Citing papers per year: 2021: 1; 2022: 6; 2023: 3; 2024: 2; 2025: 3; 2026: 3.
18 papers.
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- 2022Physics-Driven Deep Learning for Computational Magnetic Resonance Imagingcited by 49
- 2022Physics-informed deep-learning applications to experimental fluid mechanicscited by 21
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRIcited by 9
- 2022Physics-informed compressed sensing for PC-MRI: an inverse Navier-Stokes problemcited by 6
- 2023Transient Hemodynamics Prediction Using an Efficient Octree-Based Deep Learning Modelcited by 5
- 2024Bayesian inverse Navier-Stokes problems: joint flow field reconstruction and parameter learningcited by 4
- 2022Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networkscited by 3
- 2022Coarse-Super-Resolution-Fine Network (CoSF-Net): A Unified End-to-End Neural Network for 4D-MRI with Simultaneous Motion Estimation and Super-Resolutioncited by 3
- 2023Generalized super-resolution 4D Flow MRI unicodex2013 using ensemble learning to extend across the cardiovascular systemcited by 3
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolationcited by 3
- 2025Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networkscited by 3
- 2021Non-invasive hemodynamic analysis for aortic regurgitation using computational fluid dynamics and deep learningcited by 1
6 more
- 2022Automated Diagnosis of Cardiovascular Diseases from Cardiac Magnetic Resonance Imaging Using Deep Learning Models: A Reviewcited by 0
- 2025Adaptive Plane Reformatting for 4D Flow MRI using Deep Reinforcement Learningcited by 0
- 2025Potential and challenges of generative adversarial networks for super-resolution in 4D Flow MRIcited by 0
- 2026Distributional Deep Learning for Super-Resolution of 4D Flow MRI under Domain Shiftcited by 0
- 2026Unsupervised 4D Flow MRI Velocity Enhancement and Unwrapping Using Divergence-Free Neural Networkscited by 0
- 2026Attention-guided super-resolution of 4D flow MRI in carotid arteriescited by 0
- 2026Attention-guided super-resolution of 4D flow MRI in carotid arteries4 Sep 2026
- 2026Unsupervised 4D Flow MRI Velocity Enhancement and Unwrapping Using Divergence-Free Neural Networks31 Mar 2026
- 2026Distributional Deep Learning for Super-Resolution of 4D Flow MRI under Domain Shift16 Feb 2026
- 2025Potential and challenges of generative adversarial networks for super-resolution in 4D Flow MRI20 Aug 2025
- 2025Adaptive Plane Reformatting for 4D Flow MRI using Deep Reinforcement Learning31 May 2025
- 2025Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networks19 Mar 2025
- 2024Bayesian inverse Navier-Stokes problems: joint flow field reconstruction and parameter learning26 Jun 2024
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolation24 May 2024
- 2023Generalized super-resolution 4D Flow MRI unicodex2013 using ensemble learning to extend across the cardiovascular system20 Nov 2023
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI24 Feb 2023
- 2023Transient Hemodynamics Prediction Using an Efficient Octree-Based Deep Learning Model13 Feb 2023
- 2022Coarse-Super-Resolution-Fine Network (CoSF-Net): A Unified End-to-End Neural Network for 4D-MRI with Simultaneous Motion Estimation and Super-Resolution21 Nov 2022
6 more
- 2022Automated Diagnosis of Cardiovascular Diseases from Cardiac Magnetic Resonance Imaging Using Deep Learning Models: A Review26 Oct 2022
- 2022Physics-informed compressed sensing for PC-MRI: an inverse Navier-Stokes problem4 Jul 2022
- 2022Physics-informed deep-learning applications to experimental fluid mechanics29 Mar 2022
- 2022Physics-Driven Deep Learning for Computational Magnetic Resonance Imaging23 Mar 2022
- 2022Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networks22 Feb 2022
- 2021Non-invasive hemodynamic analysis for aortic regurgitation using computational fluid dynamics and deep learning23 Nov 2021
- 2022Physics-Driven Deep Learning for Computational Magnetic Resonance Imagingcited by 49
- 2022Physics-informed deep-learning applications to experimental fluid mechanicscited by 21
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRIcited by 9
- 2022Physics-informed compressed sensing for PC-MRI: an inverse Navier-Stokes problemcited by 6
- 2023Transient Hemodynamics Prediction Using an Efficient Octree-Based Deep Learning Modelcited by 5
- 2024Bayesian inverse Navier-Stokes problems: joint flow field reconstruction and parameter learningcited by 4
- 2022Rotationally Equivariant Super-Resolution of Velocity Fields in Two-Dimensional Fluids Using Convolutional Neural Networkscited by 3
- 2022Coarse-Super-Resolution-Fine Network (CoSF-Net): A Unified End-to-End Neural Network for 4D-MRI with Simultaneous Motion Estimation and Super-Resolutioncited by 3
- 2023Generalized super-resolution 4D Flow MRI unicodex2013 using ensemble learning to extend across the cardiovascular systemcited by 3
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolationcited by 3
- 2025Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networkscited by 3
- 2021Non-invasive hemodynamic analysis for aortic regurgitation using computational fluid dynamics and deep learningcited by 1
12 most cited of 18 All 18 (JSON)
- 2026Attention-guided super-resolution of 4D flow MRI in carotid arteries4 Sep 2026
- 2026Unsupervised 4D Flow MRI Velocity Enhancement and Unwrapping Using Divergence-Free Neural Networks31 Mar 2026
- 2026Distributional Deep Learning for Super-Resolution of 4D Flow MRI under Domain Shift16 Feb 2026
- 2025Potential and challenges of generative adversarial networks for super-resolution in 4D Flow MRI20 Aug 2025
- 2025Adaptive Plane Reformatting for 4D Flow MRI using Deep Reinforcement Learning31 May 2025
- 2025Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networks19 Mar 2025
- 2024Bayesian inverse Navier-Stokes problems: joint flow field reconstruction and parameter learning26 Jun 2024
- 2024CPT-Interp: Continuous sPatial and Temporal Motion Modeling for 4D Medical Image Interpolation24 May 2024
- 2023Generalized super-resolution 4D Flow MRI unicodex2013 using ensemble learning to extend across the cardiovascular system20 Nov 2023
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI24 Feb 2023
- 2023Transient Hemodynamics Prediction Using an Efficient Octree-Based Deep Learning Model13 Feb 2023
- 2022Coarse-Super-Resolution-Fine Network (CoSF-Net): A Unified End-to-End Neural Network for 4D-MRI with Simultaneous Motion Estimation and Super-Resolution21 Nov 2022
12 newest of 18 All 18 (JSON)