Robustness of breast lesion segmentation under MRI undersampling improves with k-space-aware deep learning

📅 2026-05-21
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🤖 AI Summary
This work addresses the degraded performance of MRI-based breast lesion segmentation under k-space undersampling or noise by proposing a 3D U-Net architecture that fuses k-space and image-domain information to learn segmentation directly from raw k-space data in an end-to-end manner. By jointly modeling frequency-domain filtering and image-domain localization mechanisms, the method maintains segmentation accuracy comparable to fully sampled conditions while significantly enhancing robustness to accelerated acquisition and k-space noise. Evaluated across four 3D U-Net variants on both synthetic and real k-space data through cross-validation, the proposed hybrid model consistently achieves higher Dice scores than image-domain-only baselines under moderate to severe undersampling and noise, demonstrating the effectiveness and complementary benefits of explicit k-space awareness in segmentation tasks.
📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

breast lesion segmentation
MRI undersampling
k-space noise
robustness
deep learning
Innovation

Methods, ideas, or system contributions that make the work stand out.

k-space-aware learning
MRI undersampling
breast lesion segmentation
hybrid deep learning
robustness
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Lukas T. Rotkopf
Institute for AI in Medicine (IKIM), University Hospital Essen, Essen, Germany; Department of Physics, Technical University Dortmund, Dortmund, Germany; Division of Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany
M
Marco Schlimbach
Department of Physics, Technical University Dortmund, Dortmund, Germany
J
Julius C. Holzschuh
Division of Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany
H
Heinz-Peter Schlemmer
Division of Radiology, German Cancer Research Center (DKFZ), Heidelberg, Germany
Jens Kleesiek
Jens Kleesiek
Institute for AI in Medicine (IKIM), University Hospital Essen
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Moritz Rempe
Moritz Rempe
PhD Candidate, Institute for AI in medicine (IKIM) Essen
Medical PhysicsMachine LearningMRI