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VS-Net: Variable splitting network for accelerated parallel MRI reconstruction (1907.10033v1)

Published 19 Jul 2019 in eess.IV and cs.CV

Abstract: In this work, we propose a deep learning approach for parallel magnetic resonance imaging (MRI) reconstruction, termed a variable splitting network (VS-Net), for an efficient, high-quality reconstruction of undersampled multi-coil MR data. We formulate the generalized parallel compressed sensing reconstruction as an energy minimization problem, for which a variable splitting optimization method is derived. Based on this formulation we propose a novel, end-to-end trainable deep neural network architecture by unrolling the resulting iterative process of such variable splitting scheme. VS-Net is evaluated on complex valued multi-coil knee images for 4-fold and 6-fold acceleration factors. We show that VS-Net outperforms state-of-the-art deep learning reconstruction algorithms, in terms of reconstruction accuracy and perceptual quality. Our code is publicly available at https://github.com/j-duan/VS-Net.

Citations (86)

Summary

  • The paper introduces VS-Net, a novel deep learning model that unrolls an iterative variable splitting method to accelerate parallel MRI reconstruction.
  • Experimental results show VS-Net outperforms state-of-the-art methods, achieving higher reconstruction accuracy and image quality at high acceleration factors (4x, 6x).
  • VS-Net offers significant computational efficiency and high-quality reconstructions, paving the way for faster, more widespread clinical use of rapid MRI techniques.

Overview of VS-Net for Parallel MRI Reconstruction

The paper presents a sophisticated approach to accelerate the reconstruction of parallel magnetic resonance imaging (p-MRI) data through a novel deep learning model, termed the Variable Splitting Network (VS-Net). This network integrates an optimization scheme with a deep learning architecture to address the computational inefficiencies and limitations seen in traditional p-MRI reconstruction methods.

Technical Approach

VS-Net is founded on a variable splitting method applied to the energy minimization problem of p-MRI reconstruction. The authors start by framing the reconstruction task as an energy minimization problem that incorporates both data fidelity and sparse regularization. They employ auxiliary variables to decouple the composite data terms, thereby allowing a structured approach to address the inherently ill-posed nature of MRI reconstruction.

The network architecture is developed by unrolling the iterative variable splitting method into a deep neural network with multiple stages. Each stage corresponds to one iteration and encompasses three computational blocks: a denoising block, a data consistency block, and a weighted average block. The denoising block utilizes a convolutional neural network to refine the MRI image, establishing the regularization indirectly. The data consistency block ensures the fidelity of the reconstructed image to kk-space data, employing a closed-form solution for computational efficiency. Finally, the weighted average block consolidates the outputs from preceding layers using an analytical approach that facilitates seamless and efficient processing.

Experimental Validation

The experimental evaluation of VS-Net was conducted using complex knee MRI data with Cartesian undersampling patterns for 4-fold and 6-fold acceleration. The results demonstrated that VS-Net outperforms existing state-of-the-art algorithms in terms of reconstruction accuracy and the perceptual quality of images, as measured by metrics like PSNR and SSIM, particularly for high acceleration factors. The network's performance improves with an increased number of stages, suggesting sufficient iterations are paramount for convergence.

Moreover, the paper highlights the advantage of adaptive weight parameters in the VS-Net architecture. This flexibility results in better performance compared to models with static shared weights across network stages. The results underscore the efficacy and computational superiority of VS-Net, attributed to its analytical framework and efficient handling of complex multi-coil data.

Implications and Future Directions

The presented VS-Net model represents a significant advancement in accelerating p-MRI reconstruction. The computational efficiency owing to the analytical solutions in its network blocks, combined with its proven ability to produce high-quality reconstructions, opens avenues for more widespread clinical application of rapid MRI techniques. Future work could explore extending this architecture to handle other imaging modalities and further refining the network's denoising capabilities with more advanced CNN architectures.

Additionally, the findings on adaptive parameterization could catalyze future research into dynamic and intelligent weight updates in iterative reconstruction tasks, potentially leveraging reinforcement learning paradigms. This work establishes a robust foundation for continuous improvements in real-time medical imaging technologies through deep learning methodologies.

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