DUN-SRE: Deep Unrolling Network with Spatiotemporal Rotation Equivariance for Dynamic MRI Reconstruction
Journal:
arXiv
Published Date:
Jun 12, 2025
Abstract
Dynamic Magnetic Resonance Imaging (MRI) exhibits transformation symmetries,
including spatial rotation symmetry within individual frames and temporal
symmetry along the time dimension. Explicit incorporation of these symmetry
priors in the reconstruction model can significantly improve image quality,
especially under aggressive undersampling scenarios. Recently, Equivariant
convolutional neural network (ECNN) has shown great promise in exploiting
spatial symmetry priors. However, existing ECNNs critically fail to model
temporal symmetry, arguably the most universal and informative structural prior
in dynamic MRI reconstruction. To tackle this issue, we propose a novel Deep
Unrolling Network with Spatiotemporal Rotation Equivariance (DUN-SRE) for
Dynamic MRI Reconstruction. The DUN-SRE establishes spatiotemporal equivariance
through a (2+1)D equivariant convolutional architecture. In particular, it
integrates both the data consistency and proximal mapping module into a unified
deep unrolling framework. This architecture ensures rigorous propagation of
spatiotemporal rotation symmetry constraints throughout the reconstruction
process, enabling more physically accurate modeling of cardiac motion dynamics
in cine MRI. In addition, a high-fidelity group filter parameterization
mechanism is developed to maintain representation precision while enforcing
symmetry constraints. Comprehensive experiments on Cardiac CINE MRI datasets
demonstrate that DUN-SRE achieves state-of-the-art performance, particularly in
preserving rotation-symmetric structures, offering strong generalization
capability to a broad range of dynamic MRI reconstruction tasks.
