PhaseGen: A Diffusion-Based Approach for Complex-Valued MRI Data Generation

📅 2025-04-10
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Existing MRI AI methods predominantly rely on magnitude images, neglecting diagnostically valuable phase information and thus failing to model the complex-valued k-space domain. To address this gap, we propose PhaseGen—the first conditional diffusion generative model explicitly designed for the complex-valued k-space domain in MRI. PhaseGen synthesizes high-fidelity phase data end-to-end, conditioned solely on clinically acquired magnitude images, thereby reconstructing missing complex-valued k-space entries. Our approach introduces controllable complex-domain generation in k-space and pioneers the integration of phase information into AI-based medical image pretraining, enabling pure k-space domain tasks such as skull-stripping. Built upon the DDPM framework, it employs complex-valued parameterization and k-space conditioning, ensuring compatibility with standard pipelines (e.g., FastMRI). Experiments demonstrate that skull-stripping accuracy improves from 41.1% to 80.1%, and performance gains are substantial even with limited measured phase data. Code is publicly available.

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📝 Abstract
Magnetic resonance imaging (MRI) raw data, or k-Space data, is complex-valued, containing both magnitude and phase information. However, clinical and existing Artificial Intelligence (AI)-based methods focus only on magnitude images, discarding the phase data despite its potential for downstream tasks, such as tumor segmentation and classification. In this work, we introduce $ extit{PhaseGen}$, a novel complex-valued diffusion model for generating synthetic MRI raw data conditioned on magnitude images, commonly used in clinical practice. This enables the creation of artificial complex-valued raw data, allowing pretraining for models that require k-Space information. We evaluate PhaseGen on two tasks: skull-stripping directly in k-Space and MRI reconstruction using the publicly available FastMRI dataset. Our results show that training with synthetic phase data significantly improves generalization for skull-stripping on real-world data, with an increased segmentation accuracy from $41.1%$ to $80.1%$, and enhances MRI reconstruction when combined with limited real-world data. This work presents a step forward in utilizing generative AI to bridge the gap between magnitude-based datasets and the complex-valued nature of MRI raw data. This approach allows researchers to leverage the vast amount of avaliable image domain data in combination with the information-rich k-Space data for more accurate and efficient diagnostic tasks. We make our code publicly $href{https://github.com/TIO-IKIM/PhaseGen}{ ext{available here}}$.
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Research questions and friction points this paper is trying to address.

Generates synthetic complex-valued MRI data from magnitude images
Improves skull-stripping accuracy in k-Space using synthetic phase data
Enhances MRI reconstruction by combining synthetic and limited real data
Innovation

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

Diffusion model for complex-valued MRI data
Generates synthetic MRI raw data
Improves segmentation and reconstruction accuracy
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M
M. Rempe
Institute for AI in Medicine (IKIM), University Hospital Essen, Girardetstraße 2, 45131 Essen, Germany; Cancer Research Center Cologne Essen (CCCE), University Medicine Essen, Hufelandstraße 55, 45147 Essen, Germany; Department of Physics, Technical University Dortmund, Otto-Hahn-Straße 4a, 44227 Dortmund, Germany
Fabian Horst
Fabian Horst
Johannes Gutenberg-University Mainz (Germany)
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Helmut Becker
Helmut Becker
PhD Student, Institute for Artificial Intelligence in Medicine, University Hospital Essen, Germany
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Marc Schlimbach
Department of Physics, Technical University Dortmund, Otto-Hahn-Straße 4a, 44227 Dortmund, Germany
L
Lukas Rotkopf
German Cancer Research Center (DKFZ), 69120 Heidelberg, Germany; Institute for AI in Medicine (IKIM), University Hospital Essen, Girardetstraße 2, 45131 Essen, Germany
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Kevin Kroninger
Department of Physics, Technical University Dortmund, Otto-Hahn-Straße 4a, 44227 Dortmund, Germany
J
J. Kleesiek
Institute for AI in Medicine (IKIM), University Hospital Essen, Girardetstraße 2, 45131 Essen, Germany; Cancer Research Center Cologne Essen (CCCE), University Medicine Essen, Hufelandstraße 55, 45147 Essen, Germany; German Cancer Consortium (DKTK), Partner Site Essen, Hufelandstraße 55, 45147 Essen, Germany; Medical Faculty and Faculty of Computer Science, University of Duisburg-Essen, 45141 Essen, Germany; Department of Physics, Technical University Dortmund, Otto-Hahn-Straße 4a, 44227 Dortmund, Germany