Journal
APPLIED MATHEMATICAL MODELLING
Volume 51, Issue -, Pages 469-476Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2017.07.009
Keywords
Blind image restoration; L1-norm; Fraction-order total variation; Semi-quadratic regularization
Funding
- Hubei Provincial Department of Education [Q20151302]
- Electronics and Information School of Yangtze University [2016-DXCX-01]
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A fraction-order total variation blind image restoration algorithm based on L1-norm was proposed for restoring the images blurred by unknown point spread function (PSF) during imaging. According to the form of total variation, this paper introduced an arithmetic operator of fraction-order total variation and generated a mathematical model of cost. Semi quadratic regularization was used to solve the model iteratively so that the solution of this algorithm became easier. This paper also analyzed the convergence of this algorithm and then testified its feasibility in theory. The experimental results showed the proposed algorithm can increase the PSNR of the restored image by 1 dB in relation to the first order total variation blind restoration method and Bayesian blind restoration method. The details in real blurred image were also pretty well restored. The effectiveness of the proposed algorithm revealed that it was practical in the blind image restoration. (C) 2017 Elsevier Inc. All rights reserved.
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