Deep variational network for rapid 4D flow MRI reconstruction
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Abstract (arXiv)
Phase-contrast magnetic resonance imaging (MRI) provides time-resolved quantification of blood flow dynamics that can aid clinical diagnosis. Long in vivo scan times due to repeated three-dimensional (3D) volume sampling over cardiac phases and breathing cycles necessitate accelerated imaging techniques that leverage data correlations. Standard compressed sensing reconstruction methods require tuning of hyperparameters and are computationally expensive, which diminishes the potential reduction of examination times. We propose an efficient model-based deep neural reconstruction network and evaluate its performance on clinical aortic flow data. The network is shown to reconstruct undersampled 4D flow MRI data in under a minute on standard consumer hardware. Remarkably, the relatively low amounts of tunable parameters allowed the network to be trained on images from 11 reference scans while generalizing well to retrospective and prospective undersampled data for various acceleration factors and anatomies.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Apr 2020.
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Citing papers per year: 2021: 2; 2022: 2; 2023: 2; 2024: 1; 2025: 1; 2026: 3.
11 papers.
- 2021AI-based Reconstruction for Fast MRI -- A Systematic Review and Meta-analysiscited by 38
- 2022Stable Deep MRI Reconstruction using Generative Priorscited by 21
- 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstructioncited by 14
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRIcited by 9
- 2024Deep-ER: Deep Learning ECCENTRIC Reconstruction for fast high-resolution neurometabolic imagingcited by 2
- 2025Variational volume reconstruction with the Deep Ritz Methodcited by 2
- 2021Simultaneous boundary shape estimation and velocity field de-noising in Magnetic Resonance Velocimetry using Physics-informed Neural Networkscited by 0
- 2022Physics-informed Deep Diffusion MRI Reconstruction with Synthetic Data: Break Training Data Bottleneck in Artificial Intelligencecited by 0
- 2026FlowMoDL: Model-Based Deep Learning with Conjugate-Gradient Data Consistency for Highly Accelerated 4D Flow MRI Reconstructioncited by 0
- 2026CLEAR: Complex Learned Explicit Analytical Regularization for Ultra-Accelerated 4D Flow CMR Reconstructioncited by 0
- 2026Joint Supervised and Self-Supervised Training with Acquisition-Robust Techniques for Accelerated 4D Flow MRI Reconstructioncited by 0
- 2026Joint Supervised and Self-Supervised Training with Acquisition-Robust Techniques for Accelerated 4D Flow MRI Reconstruction29 Sep 2026
- 2026CLEAR: Complex Learned Explicit Analytical Regularization for Ultra-Accelerated 4D Flow CMR Reconstruction19 Sep 2026
- 2026FlowMoDL: Model-Based Deep Learning with Conjugate-Gradient Data Consistency for Highly Accelerated 4D Flow MRI Reconstruction26 Aug 2026
- 2025Variational volume reconstruction with the Deep Ritz Method8 Aug 2025
- 2024Deep-ER: Deep Learning ECCENTRIC Reconstruction for fast high-resolution neurometabolic imaging26 Sep 2024
- 2023One for Multiple: Physics-informed Synthetic Data Boosts Generalizable Deep Learning for Fast MRI Reconstruction25 Jul 2023
- 2023Implicit neural representations for unsupervised super-resolution and denoising of 4D flow MRI24 Feb 2023
- 2022Stable Deep MRI Reconstruction using Generative Priors25 Oct 2022
- 2022Physics-informed Deep Diffusion MRI Reconstruction with Synthetic Data: Break Training Data Bottleneck in Artificial Intelligence20 Oct 2022
- 2021AI-based Reconstruction for Fast MRI -- A Systematic Review and Meta-analysis23 Dec 2021
- 2021Simultaneous boundary shape estimation and velocity field de-noising in Magnetic Resonance Velocimetry using Physics-informed Neural Networks16 Jul 2021