Low-rank approach for image nonblind deconvolution with variance estimation

Hang Yang; Guosheng Hu; Yuqing Wang; Xiaotian Wu

doi:10.1117/1.JEI.24.6.063013

9 December 2015 Low-rank approach for image nonblind deconvolution with variance estimation

Hang Yang, Guosheng Hu, Yuqing Wang, Xiaotian Wu

Author Affiliations +

Journal of Electronic Imaging, Vol. 24, Issue 6, 063013 (December 2015). https://doi.org/10.1117/1.JEI.24.6.063013

Abstract

We develop a low-rank approach for image restoration by exploiting the image’s nonlocal self-similarity. We assume that the matrix stacked by the vectors of nonlocal similar patches is of low rank and has sparse singular values. Based on this assumption, we propose a new image deconvolution algorithm that decouples the deblurring and denoising steps. Specifically, in the deblurring step, we involve a regularized inversion of the blur in the Fourier domain, which amplifies and colors the noise and corrupts the image information. Hence, in the denoising step, a singular-value decomposition of similar packed patches is used to efficiently remove the colored noise. Furthermore, we derive an approach to update the estimation of noise variance for setting the threshold parameter at each iteration. Experimental results clearly show that the proposed algorithm outperforms many state-of-the-art deblurring algorithms such as iterative decoupled deblurring BM3D in terms of both improvement in signal-to-noise-ratio and visual perception quality.

Citation Download Citation

Hang Yang, Guosheng Hu, Yuqing Wang, and Xiaotian Wu "Low-rank approach for image nonblind deconvolution with variance estimation," Journal of Electronic Imaging 24(6), 063013 (9 December 2015). https://doi.org/10.1117/1.JEI.24.6.063013

Published: 9 December 2015

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