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Deep learning for undersampled MRI reconstruction

Published 8 Sep 2017 in stat.ML, cs.LG, and physics.med-ph | (1709.02576v3)

Abstract: This paper presents a deep learning method for faster magnetic resonance imaging (MRI) by reducing k-space data with sub-Nyquist sampling strategies and provides a rationale for why the proposed approach works well. Uniform subsampling is used in the time-consuming phase-encoding direction to capture high-resolution image information, while permitting the image-folding problem dictated by the Poisson summation formula. To deal with the localization uncertainty due to image folding, very few low-frequency k-space data are added. Training the deep learning net involves input and output images that are pairs of Fourier transforms of the subsampled and fully sampled k-space data. Numerous experiments show the remarkable performance of the proposed method; only 29% of k-space data can generate images of high quality as effectively as standard MRI reconstruction with fully sampled data.

Citations (424)

Summary

  • The paper introduces a robust deep learning framework that reconstructs high-quality MRI images from sub-Nyquist undersampled data.
  • It employs a uniform subsampling strategy with added low-frequency k-space data to effectively mitigate aliasing artifacts.
  • Experimental results indicate that using only 29% of k-space data achieves reduced mean-squared error and improved SSIM, thereby speeding up scans.

Deep Learning for Undersampled MRI Reconstruction

The paper presents a comprehensive study on utilizing deep learning techniques to improve the efficiency of magnetic resonance imaging (MRI) by addressing undersampled reconstruction. This involves acquiring MRI data at a sub-Nyquist rate, thereby significantly decreasing the time required for data acquisition. The authors propose a robust deep learning framework that demonstrates effectiveness in handling the challenges of aliasing artifacts associated with reduced sampling rates.

Overview of MRI and Undersampling

Traditionally, MRI offers high spatial resolution without the need for ionizing radiation. However, the scan durations remain cumbersome, primarily due to the exhaustive phase-encoding steps required for full kk-space sampling. This research focuses on optimizing the MRI process through undersampling strategies that aim to preserve image quality despite reduced data acquisition. The central challenge addressed is the aliasing artifacts introduced by sub-sampling, a consequence of violating the Nyquist criterion.

Methodology

The proposed approach bifurcates the undersampling MRI problem into two main components: subsampling strategy and reconstruction function. The authors employ a uniform subsampling technique in the phase-encoding direction alongside strategically adding low-frequency kk-space data to mitigate the localization uncertainty arising from image aliasing.

The crux of their method lies in training a deep convolutional neural network (CNN), specifically a U-net architecture, for the reconstruction task. The U-net is trained to learn an inverse mapping function from highly undersampled kk-space data to high-quality MRI images. This effectively transforms the reconstruction task into a supervised learning problem where the network is optimized to minimize the pixel-wise error between the reconstructed and fully sampled images.

Numerical Results and Analysis

In their experimental setup, the authors employ a reduction factor of 4, demonstrating that only 29% of the kk-space data is required to achieve a reconstruction quality comparable to that of fully sampled data. This is evidenced by the marked reduction in aliasing artifacts and preservation of morphological features as shown in their quantitative results, which highlighted a substantial decrease in mean-squared error (MSE) and an increase in structural similarity index (SSIM) post-reconstruction compared to aliased images.

Practical and Theoretical Implications

The implications of this research are twofold. Practically, the proposed method can vastly enhance the throughput of MRI scanning by reducing acquisition times, thus alleviating patient discomfort and potentially diminishing healthcare costs associated with prolonged scan durations. Theoretically, this study underscores the potential of deep learning in solving inverse problems inherent in medical imaging by leveraging data-driven approaches to capture complex image manifolds that conventional methods fail to resolve adequately.

Future Directions

While the presented approach shows promise, extensions could consider its adaptation to multi-channel complex data within parallel imaging frameworks. Addressing the GPU memory limitations for higher resolution inputs and exploring alternative architectures or optimization schemes to enhance reconstruction fidelity with even sparser sampling could also be potential avenues for future research.

In conclusion, the paper elucidates an innovative application of deep learning to a critical problem in medical imaging—undersampled MRI reconstruction—with compelling results that suggest its utility and adaptability to broader imaging scenarios.

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