An Enhanced NAS-RIF Algorithm for Blind Image Restoration Based on Total Variation Regularization

Abstract:

In order to improve the quality of blind image restoration, we propose an algorithm which combines Non-negativity and Support constraint Recursive Inverse Filtering (NAS-RIF) and adaptive total variation regularization. In the proposed algorithm, the total variation regularization constraint term is added in the NAS-RIF algorithm cost function. The majorization-minimization approach and conjugate gradient iterative algorithm are adopted to improve the convergence speed. We do the simulation experiments for the blurred classic test image which is added additive random noise. Experimental results show that the restoration effect of our algorithm is better than the spatially adaptive Tikhonov regularization method and the NAS-RIF spatially adaptive regularization algorithm, while the value of improvement of signal to noise ratio (ISNR) has improved.

• Periodical: Applied Mechanics and Materials (Volumes 423-426)
• Pages: 2522-2525
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.423-426.2522
• Online since: September 2013
• Authors: Xin Ke Li*, Chao Gao, Yong Cai Guo, Yan Hua Shao
• Keywords: Blind Image Restoration, NAS-RIF Algorithm, Regularization, Total Variation

References

[1] D. Kundur and D. Hatzinakos, Blind image deconvolution, IEEE Signal Processing Magazine, Vol. 13, p.43–64, (1996).

DOI: 10.1109/79.489268

[2] M. Mignotte. A Segmentation-Based Regularization Term for Image Deconvolution,. IEEE Transactions on Image Processing, Vol. 15, No. 7, pp.1973-1984, (2006).

DOI: 10.1109/tip.2006.873446

[3] S. Babacan, R. Molina, A. Katsaggelos. Parameter Estimation in TV Image Restoration Using Variational Distribution Approximation,. IEEE Transactions on Image Processing, Vol. 17, No. 3, pp.326-339, (2008).

DOI: 10.1109/tip.2007.916051

[4] P. Oliveira, M. Bioucas-Dias, A.T. Figueiredo. Adaptive total variation image deblurring: A majorization-minimization approach,. Signal Processing, Vol. 89, pp.1683-1693, (2009).

DOI: 10.1016/j.sigpro.2009.03.018

[5] B. Zhang, P. Liu, T. Bai, etc. An optimal Tikhonov regularized image restoration algorithm, 2012 5th CISP, pp.355-359, (2012).

DOI: 10.1109/cisp.2012.6469946

[6] Y. Guo, E. Wang, C Gao. Blind image restoration algorithm based on space-adaptive and regularization,. Optics and Precision Engineering, Vol. 16, No. 11, pp.2263-2267, (2008).