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arXiv 2012.12496cs.CVcs.ITmath.IT

Active Sampling for Accelerated MRI with Low-Rank Tensors

University of California, Santa Barbara(加州大学圣塔芭芭拉分校);Oden Institute for Computational Engineering and Sciences(奥登计算工程与科学研究所);University of Texas at Austin(德克萨斯大学奥斯汀分校)

Zichang He, Bo Zhao, Zheng Zhang

英文摘要:

Magnetic resonance imaging (MRI) is a powerful imaging modality that revolutionizes medicine and biology. The imaging speed of high-dimensional MRI is often limited, which constrains its practical utility. Recently, low-rank tensor models have been exploited to enable fast MR imaging with sparse sampling. Most existing methods use some pre-defined sampling design, and active sensing has not been explored for low-rank tensor imaging. In this paper, we introduce an active low-rank tensor model for fast MR imaging. We propose an active sampling method based on a Query-by-Committee model, making use of the benefits of low-rank tensor structure. Numerical experiments on a 3-D MRI data set demonstrate the effectiveness of the proposed method.

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