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It is significant to realize effective defocus image restoration for acquiring clear image in military and geological examination field. Most of existing algorithms have the problems of large computational cost, ringing and noise sensitivity, hence a novel approach by iterative joint bilateral filtering under Bayesian framework is proposed. Firstly, it utilizes defocus image depth estimation to compute the point spread function in the Bayesian framework. Then a minimum optimization problem is built to represent the blind restoration problem. After inferencing the solution procedure of the minimum optimization problem, we find that the joint bilateral filters can be used to search the optimal solution, which not only simplifies the searching procedure but also reduces the computational cost. Finally, an iterative joint bilateral filtering is designed to realize the image restoration. That means that the original restored image obtained from the bilateral filtering is used to design the guide image for the joint bilateral filters, and the guide image will serve as the input of the optimization problem for acquiring the better optimal result. This procedure is repeated until convergence. The experimental results indicate that this method can yield the ringing, reduce the computational cost, and remove the noise. Generally speaking, the average pixel error of 85% images is under 0.03, which has improved 19% comparing with the same error rang of existing algorithms, and 78% shorter than those of compared algorithms. It can be used in the engineering practice of blind restoration for single defocus image.
[1] Schuon S, Diepold K 2009 Acta Astronaut. 64 1050
[2] Gupta P, Mehra R 2015 Int. J. Comput. Appl. 130 20
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[7] Li X N, Huang H Y, Jia X N, Ma S L 2015 Acta Phys. Sin. 64 134102 (in Chinese)[李鑫楠, 黄贺艳, 贾小宁, 马驷良2015物理学报64 134102]
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[13] Almeida M S, Figueiredo M A 2013 IEEE Trans. Image Process. 22 2751
[14] Schmidt U, Schelten K, Roth S 2011 In Proc of 16th IEEE Conf on Computer Vision and Pattern Recognition Colorado, United State, June 21-23, 2011 p2625
[15] Likas A C, Galatsanos N P 2004 IEEE Trans. Signal Process. 52 2222
[16] Zhang H, Wipf D, Zhang Y 2014 IEEE Trans. Pattern Anal. Mach. Intell. 36 1628
[17] Song C, Deng H, Gao H, Zhang H, Zuo W 2016 Neurocomputing 197 95
[18] Cao Y, Fang S, Wang F 2011 In Proc. of 6th International Conf. on Image and Graphics Beijing, China, October 24-26, 2011 p168
[19] Elad M 2005 International Conf on Scale-Space Theories in Computer Vision in Scale Space and PDE Methods in Computer Vision (Berlin Heidelberg:Springer) pp217-229
[20] Huynh T Q, Ghanbari M 2008 Electron. Lett. 44 800
[21] Levin A, Weiss Y, Durand F, Freeman W T 2011 In Proc of 18th IEEE Conf on Computer Vision and Pattern Recognition Colorado, United State, June 21-23, 2011 p2657
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[1] Schuon S, Diepold K 2009 Acta Astronaut. 64 1050
[2] Gupta P, Mehra R 2015 Int. J. Comput. Appl. 130 20
[3] Escande P, Weiss P, Malgouyres F 2013 J. Phys. 2013 012004
[4] Galdran A, Pardo D, Picón A, Alvarez-Gila A 2015 J. Visual Commun. Image Represent. 26 132
[5] Jin Z L, Han J, Zhang Y, Bai L F 2014 Acta Phys. Sin. 63 069501 (in Chinese)[金左轮, 韩静, 张毅, 柏连发2014物理学报63 069501]
[6] Shi M Z, Xu T F, Liang J, Li X M 2013 Acta Phys. Sin. 62 174204 (in Chinese)[石明珠, 许廷发, 梁炯, 李相民2013物理学报62 174204]
[7] Li X N, Huang H Y, Jia X N, Ma S L 2015 Acta Phys. Sin. 64 134102 (in Chinese)[李鑫楠, 黄贺艳, 贾小宁, 马驷良2015物理学报64 134102]
[8] Lu H M, Xu M, Li X 2014 Acta Opt. Sin. 2014 081002 (in Chinese)[卢惠民, 徐明, 李迅2014光学学报2014 081002]
[9] Tai Y W, Brown M S 2009 In Proc of 16th IEEE International Conf on Image Processing Cairo, Egypt, November 7-10, 2009 p1797
[10] Cai J F, Ji H, Liu C, Shen Z 2009 J. Comput. Phys. 228 5057
[11] Kundur D, Hatzinakos D 1996 IEEE Trans. Signal Process. 13 43
[12] Fahmy M F, Raheem G M A, Mohamed U S, Fahmy O F 2012 J. Signal Inf. Process. 3 98
[13] Almeida M S, Figueiredo M A 2013 IEEE Trans. Image Process. 22 2751
[14] Schmidt U, Schelten K, Roth S 2011 In Proc of 16th IEEE Conf on Computer Vision and Pattern Recognition Colorado, United State, June 21-23, 2011 p2625
[15] Likas A C, Galatsanos N P 2004 IEEE Trans. Signal Process. 52 2222
[16] Zhang H, Wipf D, Zhang Y 2014 IEEE Trans. Pattern Anal. Mach. Intell. 36 1628
[17] Song C, Deng H, Gao H, Zhang H, Zuo W 2016 Neurocomputing 197 95
[18] Cao Y, Fang S, Wang F 2011 In Proc. of 6th International Conf. on Image and Graphics Beijing, China, October 24-26, 2011 p168
[19] Elad M 2005 International Conf on Scale-Space Theories in Computer Vision in Scale Space and PDE Methods in Computer Vision (Berlin Heidelberg:Springer) pp217-229
[20] Huynh T Q, Ghanbari M 2008 Electron. Lett. 44 800
[21] Levin A, Weiss Y, Durand F, Freeman W T 2011 In Proc of 18th IEEE Conf on Computer Vision and Pattern Recognition Colorado, United State, June 21-23, 2011 p2657
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