Physikalisch-Technische Bundesanstalt (PTB), Braunschweig, Berlin, 10587, Germany.
Department of Mathematics, University of Innsbruck, Innsbruck, 6020, Austria.
Med Phys. 2021 May;48(5):2412-2425. doi: 10.1002/mp.14809. Epub 2021 Apr 1.
Iterative convolutional neural networks (CNNs) which resemble unrolled learned iterative schemes have shown to consistently deliver state-of-the-art results for image reconstruction problems across different imaging modalities. However, because these methods include the forward model in the architecture, their applicability is often restricted to either relatively small reconstruction problems or to problems with operators which are computationally cheap to compute. As a consequence, they have not been applied to dynamic non-Cartesian multi-coil reconstruction problems so far.
In this work, we propose a CNN architecture for image reconstruction of accelerated 2D radial cine MRI with multiple receiver coils. The network is based on a computationally light CNN component and a subsequent conjugate gradient (CG) method which can be jointly trained end-to-end using an efficient training strategy. We investigate the proposed training strategy and compare our method with other well-known reconstruction techniques with learned and non-learned regularization methods.
Our proposed method outperforms all other methods based on non-learned regularization. Further, it performs similar or better than a CNN-based method employing a 3D U-Net and a method using adaptive dictionary learning. In addition, we empirically demonstrate that even by training the network with only iteration, it is possible to increase the length of the network at test time and further improve the results.
End-to-end training allows to highly reduce the number of trainable parameters of and stabilize the reconstruction network. Further, because it is possible to change the length of the network at the test time, the need to find a compromise between the complexity of the CNN-block and the number of iterations in each CG-block becomes irrelevant.
迭代卷积神经网络(CNN)类似于展开的学习迭代方案,在不同的成像模式下,已被证明能够持续为图像重建问题提供最先进的结果。然而,由于这些方法在架构中包含正向模型,因此它们的适用性通常限于相对较小的重建问题或计算成本低廉的算子问题。因此,迄今为止,它们尚未应用于动态非笛卡尔多线圈重建问题。
在这项工作中,我们提出了一种用于加速二维径向电影 MRI 与多个接收线圈的图像重建的 CNN 架构。该网络基于一个计算量较轻的 CNN 组件和随后的共轭梯度(CG)方法,这两种方法可以使用有效的训练策略进行端到端联合训练。我们研究了所提出的训练策略,并将我们的方法与其他基于学习和非学习正则化方法的著名重建技术进行了比较。
我们提出的方法在基于非学习正则化的所有其他方法中表现最佳。此外,它的性能与使用 3D U-Net 的 CNN 方法和使用自适应字典学习的方法相似或更好。此外,我们通过仅用迭代训练网络的实验证明,在测试时增加网络的长度并进一步提高结果是有可能的。
端到端训练允许极大地减少可训练参数的数量并稳定重建网络。此外,由于可以在测试时更改网络的长度,因此 CNN 块的复杂性与 CG 块中的迭代次数之间的折衷变得无关紧要。