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arXiv 2104.01102eess.IVcs.CV
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用于动态MR成像的深度流形学习

Deep Manifold Learning for Dynamic MR Imaging

Research Center for Medical AI, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences(中国科学院深圳先进技术研究院医学人工智能研究中心);Shenzhen College of Advanced Technology, University of Chinese Academy of Sciences(中国科学院大学深圳先进技术学院);Paul C. Lauterbur Research Center for Biomedical Imaging, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences(中国科学院深圳先进技术研究院保罗·C·劳特伯生物医学成像研究中心);The State University of New York(纽约州立大学)

Ziwen Ke, Zhuo-Xu Cui, Wenqi Huang, Jing Cheng, Sen Jia, Haifeng Wang, Xin Liu, Hairong Zheng, Leslie Ying, Yanjie Zhu, Dong Liang

摘要:

目的:在非线性流形上开发一种深度学习方法,以探索动态信号的时间冗余,从而从高度欠采样的测量结果中重建心脏MRI数据。方法:将心脏MR图像重建建模为基于低秩张量流形优化的一般压缩感知(CS)。设计了非线性流形来表征动态信号的时间相关性。迭代过程可以通过求解流形上的优化模型来获得,包括梯度计算、梯度到切空间的投影以及切空间到流形的收缩。流形上的迭代过程展开为神经网络,称为流形网络。使用具有回顾性心电图(ECG)门控分段bSSFP序列的体内数据训练流形网络。结果如下:在高加速度下的实验结果表明,与压缩感知(CS)方法k-t SLR和两种最先进的基于深度学习的方法DC-CNN和CRNN相比,所提出的方法可以获得改进的重建。结论:这项工作是第一次研究展开流形上的优化神经网络。具体而言,所设计的低秩流形为低秩先验在动态MR成像中的应用提供了一条新的技术路线。

英文摘要:

Purpose: To develop a deep learning method on a nonlinear manifold to explore the temporal redundancy of dynamic signals to reconstruct cardiac MRI data from highly undersampled measurements. Methods: Cardiac MR image reconstruction is modeled as general compressed sensing (CS) based optimization on a low-rank tensor manifold. The nonlinear manifold is designed to characterize the temporal correlation of dynamic signals. Iterative procedures can be obtained by solving the optimization model on the manifold, including gradient calculation, projection of the gradient to tangent space, and retraction of the tangent space to the manifold. The iterative procedures on the manifold are unrolled to a neural network, dubbed as Manifold-Net. The Manifold-Net is trained using in vivo data with a retrospective electrocardiogram (ECG)-gated segmented bSSFP sequence. Results: Experimental results at high accelerations demonstrate that the proposed method can obtain improved reconstruction compared with a compressed sensing (CS) method k-t SLR and two state-of-the-art deep learning-based methods, DC-CNN and CRNN. Conclusion: This work represents the first study unrolling the optimization on manifolds into neural networks. Specifically, the designed low-rank manifold provides a new technical route for applying low-rank priors in dynamic MR imaging.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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