Low-Field Magnetic Resonance Image Quality Enhancement using Undersampled k-Space and Out-of-Distribution Generalisation
Authors: Daniel Tweneboah Anyimadu, Mohammed M. Abdelsamea, Ahmed Karam Eldaly
Organizations: Department of Computer Science, University of Exeter, Exeter, United Kingdom · UCL Hawkes Institute, Department of Computer Science, University College London, London, United Kingdom
Low-field magnetic resonance imaging (MRI) offers affordable access to diagnostic imaging but faces challenges such as prolonged acquisition times and reduced image quality. Although accelerated imaging via k-space undersampling helps reduce scan time, image quality enhancement methods often rely on spatial-domain postprocessing. Deep learning achieved state-of-the-art results in both domains. However, most models are trained and evaluated using in-distribution (InD) data, creating a significant gap in understanding model performance when tested using out-of-distribution (OOD) data. To address these issues, we propose a novel framework that reconstructs high-field-like MR images directly from undersampled low-field MRI k-space, quantifies the impact of reduced sampling, and evaluates the generalisability of the model using OOD. Our approach utilises a k-space dual channel U-Net to jointly process the real and imaginary components of undersampled k-space, restoring missing frequency content, and incorporates an ensemble strategy to generate uncertainty maps. Experiments on low-field brain MRI demonstrate that our k-space-driven image quality enhancement outperforms the counterpart spatial-domain and other state-of-the-art baselines, achieving image quality comparable to full high-field k-space acquisitions using OOD data. To the best of our knowledge, this work is among the first to combine low-field MR image reconstruction, quality enhancement using undersampled k-space, and uncertainty quantification within a unified framework.
Figures & tables
Fig. 1: K-space dual channel U-Net for low-field MRI k-space reconstruction, quality enhancement and uncertainty quantification.
Fig. 2: High-field (HF) MR test images, and example pseudo-radial as well as Cartesian undersampling binary masks at 50% and 30% sampling rates.
Domain
Metric
100%
50%
30%
Pseudo-radial Sampling
Low-Field (LF)
SSIM
0.7466 ± 0.0495
0.3070 ± 0.0727
0.2606 ± 0.0565
PSNR
21.80 ± 1.9568
17.76 ± 0.6992
17.72 ± 0.7950
sIQT
SSIM
0.8163 ± 0.0496
0.8081 ± 0.0539
0.8077 ± 0.0587
PSNR
24.74 ± 1.6038
24.01 ± 2.071
23.64 ± 2.5127
kIQT
SSIM
0.8219 ± 0.0550
0.8159 ± 0.0675
0.8138 ± 0.0725
TABLE I: Average and standard deviation PSNR and SSIM measures for k-space and spatial domain IQT at different pseudo-radial and Cartesian sampling rates using OOD data.
Fig. 3: Reconstruction results of the LF images, and IQT in the spatial and k-space domains, at different Cartesian under-sampling rates (100%, 50%, 30%) using two test images.
Fig. 4: Absolute error maps between high-field images in Figure 2 , and the reconstructions in Figure 3 at different Cartesian under-sampling rates - ∣HF−LF∣ in row 1, ∣HF−IQT-spatial∣ in row 2 and ∣HF−IQT-k-space∣ in row 3.
Fig. 5: Uncertainty maps at different Cartesian under-sampling rates across two test images in the spatial and k-space domains.
Methods
Metric
OOD
Low-Field (LF)
SSIM
0.7466 ± 0.0495
PSNR
21.80 ± 1.9568
IQT-DDL
SSIM
0.7660 ± 0.0610
PSNR
24.25 ± 0.823
sIQT
SSIM
0.8163 ± 0.0496
PSNR
24.74 ± 1.6038
TABLE II: Comparison with other existing methods (in the spatial domain) using 100% sampling.
Low-field magnetic resonance imaging (MRI) provides affordable access to diagnostic imaging but suffers from prolonged acquisition and limited image quality. Accelerated imaging can be achieved with k-space undersampling, while super-resolution (SR) and image quality transfer (IQT) methods typically rely on spatial-domain post-processing. In this work, we propose a novel framework for reconstructing high-field MR like images directly from undersampled low-field k-space. Our approach employs a k-space dual channel U-Net that processes the real and imaginary components of undersampled k-space to restore missing frequency content. Experiments on low-field brain MRI demonstrate that our k-space-driven image enhancement consistently outperforms the counterpart spatial-domain method. Furthermore, reconstructions from undersampled k-space achieve image quality comparable to full k-space acquisitions. To the best of our knowledge, this is the first work that investigates low-field MRI SR/IQT directly from undersampled k-space.
Daniel Tweneboah Anyimadu, Mohammed M. Abdelsamea, Ahmed Karam Eldaly
Department of Computer Science, University of Exeter, Exeter, United Kingdom · UCL Hawkes Institute, University College London, London, United Kingdom
Low-field magnetic resonance imaging (MRI) offers a cost-effective alternative for medical imaging in resource-limited settings. However, its widespread adoption is hindered by two key challenges: prolonged scan times and reduced image quality. Accelerated acquisition can be achieved using k-space undersampling, while image enhancement traditionally relies on spatial-domain postprocessing. In this work, we propose a novel deep learning framework based on a U-Net variant that operates directly in k-space to super-resolve low-field MR images directly using undersampled data while quantifying the impact of reduced k-space sampling. Unlike conventional approaches that treat image super-resolution as a postprocessing step following image reconstruction from undersampled k-space, our unified model integrates both processes, leveraging k-space information to achieve superior image fidelity. Extensive experiments on synthetic and real low-field brain MRI datasets demonstrate that k-space-driven image super-resolution outperforms conventional spatial-domain counterparts. Furthermore, our results show that undersampled k-space reconstructions achieve comparable quality to full k-space acquisitions, enabling substantial scan-time acceleration without compromising diagnostic utility.
Daniel Tweneboah Anyimadu, Mohammed Abdalla, Mohammed M. Abdelsamea +1
Department of Computer Science, University of Exeter, United Kingdom · Neurology Department, Royal Devon and Exeter Hospital, Exeter, United Kingdom · UCL Hawkes Institute, Department of Computer Science, University College London, London, United Kingdom
Purpose: To assess whether breast lesion segmentation can be learned directly from acquired MRI k-space, and whether doing so improves robustness when data are accelerated or noisy. Materials and Methods: This retrospective study used public breast dynamic contrast-enhanced MRI (DCE-MRI) datasets with acquired and synthetic k-space, together with a within-dataset synthetic control. We compared four 3D U-Net variants: a hybrid k-space-to-image model, a native k-space model, and magnitude and complex image-space baselines. Models were evaluated under increasing undersampling and added complex Gaussian k-space noise. The primary outcome was patient-level Dice similarity coefficient under cross-validation, with the hybrid model prespecified as the main comparison against the magnitude image-space baseline. Results: At full sampling, the hybrid and image-space models performed similarly. As acceleration increased, the hybrid model retained substantially more segmentation accuracy and significantly outperformed the magnitude image-space baseline across moderate to high undersampling levels. The same pattern was observed when noise was added directly to k-space: the hybrid model degraded more slowly, whereas the image-space baseline failed under heavier noise. This advantage was reproduced in the within-dataset synthetic control. Feature analysis suggested that the k-space stage and image-space stage played complementary roles, with frequency-domain filtering concentrated before image-domain lesion localization. Conclusion: K-space-aware deep learning improves the robustness of breast lesion segmentation under MRI undersampling and k-space noise, while matching image-space methods at full sampling.
Lukas T. Rotkopf, Marco Schlimbach, Julius C. Holzschuh +3
Institute for AI in Medicine (IKIM), University Hospital Essen, Essen, Germany · Department of Physics, Technical University Dortmund, Dortmund, Germany · 3Division of Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany +4