Nonlocal Low-Rank Tensor Factor Analysis for Image Restoration

Xinyuan Zhang, Xin Yuan, Lawrence Carin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Scopus citations

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.
Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
PublisherIEEE Computer Societyhelp@computer.org
Pages8232-8241
Number of pages10
ISBN (Print)9781538664209
DOIs
StatePublished - Dec 14 2018
Externally publishedYes

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