k-Space Deep Learning for Accelerated MRI

Yoseob Han; Leonard Sunwoo; Jong Chul Ye

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arXiv · 1805.03779

k-Space Deep Learning for Accelerated MRI

Yoseob Han·Leonard Sunwoo·Jong Chul Ye

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Abstract

The annihilating filter-based low-rank Hankel matrix approach (ALOHA) is one of the state-of-the-art compressed sensing approaches that directly interpolates the missing k-space data using low-rank Hankel matrix completion. The success of ALOHA is due to the concise signal representation in the k-space domain thanks to the duality between structured low-rankness in the k-space domain and the image domain sparsity. Inspired by the recent mathematical discovery that links convolutional neural networks to Hankel matrix decomposition using data-driven framelet basis, here we propose a fully data-driven deep learning algorithm for k-space interpolation. Our network can be also easily applied to non-Cartesian k-space trajectories by simply adding an additional regridding layer. Extensive numerical experiments show that the proposed deep learning method consistently outperforms the existing image-domain deep learning approaches.

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BibTeX RIS

Yoseob Han, Leonard Sunwoo, Jong Chul Ye. 2018-05-10. k-Space Deep Learning for Accelerated MRI. https://arxiv.org/abs/1805.03779

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