Multi-frame Iteration Blind Deconvolution Algorithm Based on Improved Expectation Maximization for Adaptive Optics ImageRestoration

doi:10.3969/j.issn.1000-1093.2014.11.006

Abstract

Abstract: To improve the effect of adaptive optics image restoration, a deconvolution algorithm based on the improved expectation-maximization (EM) algorithm is proposed according to the EM theory. A mathematical model for degenerating the multi-frame adaptive optics images is built. The point spread function (PSF) model changed over time based on phase error is deduced. The AO images are de-noised using the image power spectrum density and the support constraints. The EM algorithm is improved by combining the AO imaging system parameters and regularization technique. A cost function for the joint-deconvolution of multi-frame AO images is given, and an optimization model for their parameter estimation is built. The image-restoration experiments of the analog images and the real AO images are performed to verify the image restoration effect of the proprosed algorithm. The experimental results show that, compared with the Wiener-IBD or RL-IBD algorithm, the iterations of the proposed algorithm is decreased by 14.3%, and its estimation accuracy is significantly improved. The model distinguishes PSFs of the AO images and recovers the observed target images clearly.

Key words: optics, adaptive optics image, atmospheric turbulence, maximum-likelihood function, power spectral density, point spread function, expectation maximization

CLC Number:

TP751

ZHANG Li-juan， YANG Jin-hua， SU Wei， JIANG Cheng-hao， WANG Xiao-kun， TAN Fang. Multi-frame Iteration Blind Deconvolution Algorithm Based on Improved Expectation Maximization for Adaptive Optics ImageRestoration[J]. Acta Armamentarii, 2014, 35(11): 1765-1773.

References

［1］李大禹,胡立发,穆全全，等.高准确度LCOS自适应光学成像系统的研究[J]. 光子学报，2008,37(3):506-508.
LI Da-yu，HU Li-fa， MU Quan-quan，et al. A high-resolution liquid crystal adaptive optics system[J]. Acta Photonica Sinica, 2008,37(3):506-508.（in Chinese）
[2] 饶长辉,沈锋,姜文汉.自适应光学系统波前校正残余误差的功率谱分析方法[J].光学学报,2000,20(1):68-73.
RAO Chang-hui, SHEN Feng, JIANG Wen-han. Analysis of closed-loop wavefront residual error of adaptive optical system using the method of power spectrum[J]. Acta Optica Sinica, 2000, 20(1):68-73.（in Chinese）
[3] 陈波.自适应光学图像复原理论与算法研究[D]. 郑州：解放军信息工程大学,2008:44-46
CHEN Bo. The theory and algorithms of adaptive optics image restoration[D]. Zhengzhou：PLA Information Engineering University，2008:44-46.(in Chinese）
[4] Tian Y, Rao C H, Wei K. Postprocessing of adaptive optics images based on frame selection and multiframe blind deconvolution [C]∥Adaptive Optics Systems. Marseille, France: SPIE, 2008.
[5] Schulz T J. Nonlinear models and methods for space-object imaging through atmospheric turbulence[C]// The 1996 IEEE International Conference on Image Processing.Lausanne,Switzerland: IEEE，1996.
[6] 路雅宁,郭雷,李晖晖. 带限剪切波变换与全变差结合的图像去噪[J].光子学报,2013,42(12):1430-1435.
LU Ya-ning, GUO Lei, LI Hui-hui. Total variation based band-limited sheralets transform for image denoising [J]. Acta Photonica Sinica, 2013,42(12):1430-1435.(in Chinese）
[7] 赵杰，杨建雷．基于 Cycle Spinning Contourlet 变换和总变分最小化的遥感图像去噪算法[J]．光子学报，2010,39(9):1659-1660.
ZHAO Jie, YANG Jian-lei. Remote sensing image denoising algorithm based on fusion theory using cycle spinning contourlet transform and total variation minimization [J]. Acta Photonica Sinica, 2010,39(9):1659-1660.（in Chinese）
[8] Matson C L,Roggemann M C . Noise reduction in adaptive optics imagery with the use of support constraints[J]. Applied Optics, 1995, 34(5):767-780.
[9] Tyler D W, Matson C L. Reduction of nonstationary noise in telescope imagery using a support constraint [J].OSA Optics Express, 1997, 1(11): 347-350.
[10] Zhang L J, Yang J H, Su W. Research on blind deconvolution algorithm of multiframe turbulence-degraded images[J]. Journal of Information and Computational Science, 2013, 10(12):3625-3633.
[11] Dempster A P, Laird N M, Rubin D B. Maximum likelihood from incomplete data via the EM algorithm[J]. Journal of the Royal Statistical Society Series B, 1977, 39(1):2-20.
[12] Mugnier L M, Conan J M, Fusco T， et al. Joint maximum S posteriori estimation of object and PSF for turbulence degraded images[C]// Bayesian Inference for Inverse Problems. San Diego, California： SPIE, 1998.
[13] 洪汉玉.成像探测系统图像复原算法研究[D]. 武汉：华中科技大学，2004：51-107.
HONG Han-yu. Research on image restoration algorithms in imaging detection system[D]. Wuhan：Huazhong University of Science and Technology, 2004:51-107.（in Chinese）
[14] Tsumuraya F. Iterative blind deconvolution method using Lucy’s algorithm[J]. Astronamy and Astrophysics, 1994, 282(2):699-708.
[15] 张士杰,李俊山，杨亚威，等. 湍流退化红外图像降晰函数辨识[J]. 光学精密工程,2013,21(2):514-520.
ZHANG Shi-jie, LI Jun-shan, YANG Ya-wei, et al. Blur identification of turbulence-degraded IR images[J]. Optics and Precision Engineering, 2013,21(2):514-520.(in Chinese）
[16] 陈波,程承旗,郭仕德, 等. 自适应光学图像非对称图像迭代盲复原算法[J]. 强激光与粒子束, 2011,23(2):313-318.
CHEN Bo, CHENG Cheng-qi, GUO Shi-de, et al. Unsymmetrical multi-limit iterative blind deconvolution algorithm for adaptive optics image restoration[J]. High Power Laser and Particle Beams, 2011,23(2):313-318.(in Chinese）

[1]	DING Guipeng， TAO Gang， PANG Chunqiao， WANG Xiaofeng. Design of Fog Transmission Zoom Optical System with Focal Depth Extension [J]. Acta Armamentarii, 2020, 41(8): 1539-1548.
[2]	QI Chao, FAN Shi-xun, XIE Xin, CHEN Ning, FAN Da-peng, JIANG Xian-liang. Research on Control Method for Improving Low Speed Performance and Stable Precision of Electro-optic Servo System [J]. Acta Armamentarii, 2018, 39(10): 1873-1882.
[3]	JIANG Xiao-jun， WANG Hua-lin， LING Jun， YIN De-fei. Preparation and Performance Research of Super Absorbent and Temperature Control Green Camouflage Fabric [J]. Acta Armamentarii, 2017, 38(2): 345-350.
[4]	ZHANG Ya-lin, AN Yan, JIANG Hui-lin, WANG Chao, JIANG Lun, HU Yuan,. A Comparative Research on Optical Principles and Methods of One-point-to-multi-point Space Laser Communication [J]. Acta Armamentarii, 2016, 37(1): 165-171.
[5]	WANG Ju-xiang, MENG Fan-lei， LIU Lin-mi， CUI Wei-cheng. Application of Sample Selection and PDS-PLS Algorithms in Near Infrared Spectra Analysis Model Transfer [J]. Acta Armamentarii, 2016, 37(1): 91-96.
[6]	SHAO Jun-feng, LIU Yang, WANG Ting-feng, GUO Jin. Damage Effect of Charged Coupled Device with Multiple-pulse Picosecond Laser [J]. Acta Armamentarii, 2014, 35(9): 1408-1413.
[7]	GONG Zhi-hua， XU Xu， DUAN Peng-wei， LEI Hong. Research on the Positioning Method of Multi-optical Theodolites Based on Hermite Function Restriction [J]. Acta Armamentarii, 2014, 35(12): 2092-2097.
[8]	XU Kai-da, JIN Wei-qi, LIU Jing, GUO Hui, QIU Su, LI Li, ZHAO Shen-you. Analysis of Non-line-of-sight Imaging Characteristics Based on Laser Range-gated Imaging [J]. Acta Armamentarii, 2014, 35(12): 2003-2009.
[9]	KONG Jie, ZHANG Bao-min . The Analysis of Phase Function of Underwater Light Transmission [J]. Acta Armamentarii, 2013, 34(6): 792-796.
[10]	GUO Ai-yan, BAI Ting-zhu, HAN Qiang, TANG Yi. Analysis of Ultraviolet Radiation Characteristics of Liquid Propellant Rocket Motor Exhaust Plumes [J]. Acta Armamentarii, 2013, 34(4): 418-424.
[11]	LIN Wei, CHEN Yu-hua, WANG Ji-yuan, SU Rong-hua, YU Song-lin. Camouflage Assessment Method Based on Image Features and Psychological Perception Quantity [J]. Acta Armamentarii, 2013, 34(4): 412-417.
[12]	FENG Yun-song, LI Xiao-xia, LU Yuan, JIN Wei. Numerical Calculation of Infrared Radiation Characteristics of the Exhaust Plume Outside a Rectangular Nozzle [J]. Acta Armamentarii, 2013, 34(4): 437-442.
[13]	YANG Hui，XIE Wei，ZHANG Shuan-qin，PAN Jia-liang. Applied Research on Infrared Camouflage Based on Heat Pipe Temperature Control Technology [J]. Acta Armamentarii, 2012, 33(3): 267-270.