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Magnetic resonance imaging (MRI) is a critical tool in biomedical research and clinical practice due to its exceptional soft tissue contrast and non-invasive, radiation-free imaging capabilities. However, its prolonged acquisition times (resulting from sequential k-space sampling) limit its efficiency in clinical workflows, patient comfort, and applicability in time-sensitive or large-scale screening scenarios. To address this challenge, undersampled k-space reconstruction techniques, particularly compressive sensing (CS), have been widely adopted. While CS leverages signal sparsity and prior knowledge to preserve image quality, aggressive undersampling often introduces aliasing artifacts, which complicates accurate reconstruction. Traditional model-driven methods, which rely on handcrafted priors (such as, sparsity, total variation, low-rank constraints), struggle to adapt to the complexity of real-world MRI data distributions. Meanwhile, deep learning approaches, despite their success in feature learning, often neglect physical degradation mechanisms. Additionally, they fail to capture semantic-level features necessary for distinguishing anatomical structures and suppressing artifacts.
Recent efforts aim to bridge model-driven and data-driven paradigms, but existing methods remain constrained by rigid feature representations, inadequate multi-scale context integration, and insufficient semantic reasoning. For example, the prior models prioritize shallow visual features over deeper anatomical semantics, limiting their ability to generalize across diverse tissue types and reconstruct high-fidelity images under extreme undersampling. To address these limitations, this paper proposes a physics-informed hierarchical semantic network (PHSN), an innovative framework that unifies physical signal principles with semantic-aware deep learning. The architecture integrates four core modules: 1) a context extraction module to capture spatial dependencies across scales; 2) a scale-aggregation module for hierarchical feature fusion; 3) a semantic graph reasoning module to model tissue-specific relationships and enhance artifact suppression via graph-based inference; 4) a dual-scale attention module to prioritize anatomical details at both coarse (global structure) and fine (local tissue) spatial levels. The overall framework is illustrated in Fig. 7.
By embedding physical k-space sampling constraints into hierarchical feature learning and explicitly modeling semantic relationships, PHSN achieves robust reconstruction under high acceleration factors (e.g., 8-fold) while preserving diagnostic image fidelity. Comprehensive experiments on diverse datasets (e.g., IXI) demonstrate that the proposed method outperforms state-of-the-art approaches in suppressing artifacts, maintaining anatomical accuracy, and balancing acceleration efficiency with clinical reliability. The framework’s hierarchical design enables adaptive feature optimization across scales, effectively mitigating aliasing artifacts and improving visibility of complex anatomical structures. This study advances MRI reconstruction by integrating interpretable physics-based constraints with data-driven semantic understanding, offering a pathway toward faster, higher-quality imaging for clinical and research applications.
Schematic diagram of algorithm process
Network composition module. (a) Multi-scale aggregation module; (b) Context extraction module
Schematic diagram of semantic graph reasoning module
Schematic diagram of dual-scale attention module
Reconstruction results using random masking for 8× acceleration on the IXI dataset
Validation loss using random masking for 4-fold and 8-fold acceleration on IXI dataset