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arXiv · 1803.06795

Nonlocal Low-Rank Tensor Factor Analysis for Image Restoration

Xinyuan Zhang·Xin Yuan·Lawrence Carin
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Abstract

Low-rank signal modeling has been widely leveraged to capture non-local correlation in image processing applications. We propose a new method that employs low-rank tensor factor analysis for tensors generated by grouped image patches. The low-rank tensors are fed into the alternative direction multiplier method (ADMM) to further improve image reconstruction. The motivating application is compressive sensing (CS), and a deep convolutional architecture is adopted to approximate the expensive matrix inversion in CS applications. An iterative algorithm based on this low-rank tensor factorization strategy, called NLR-TFA, is presented in detail. Experimental results on noiseless and noisy CS measurements demonstrate the superiority of the proposed approach, especially at low CS sampling rates.

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Xinyuan Zhang, Xin Yuan, Lawrence Carin. 2018-03-19. Nonlocal Low-Rank Tensor Factor Analysis for Image Restoration. https://arxiv.org/abs/1803.06795

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