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大气湍流、系统像差等因素会使入射光的波前发生畸变, 从而降低成像系统的成像质量. 相位差图像复原技术是针对波前畸变发展起来的图像复原方法, 它具有无需参考目标和退化函数、收敛性好等优点, 可以提高图像的分辨率和清晰度, 增加图像的信息量, 改善图像的视觉效果, 在图像复原领域有着广阔的应用前景. 本文对相位差图像复原技术进行了研究, 借用光学系统中光学传递函数、调制传递函数和点扩散函数的概念对相位差图像复原技术的性能进行了分析, 并进行了数值仿真和实验验证. 结果表明, 相位差图像复原技术不仅可以克服像差对成像质量的影响, 而且可以对截止频率以内的低频信息进行增强, 提高图像的对比度, 从而使获得的图像优于衍射受限系统所成的像.The image quality of the imaging system is often reduced by the wave-front aberrations which arises from a variety of sources including atmospheric turbulence, system aberration, and so on. Phase diversity image restoration is an image restoration technique that mainly aims to solve the problem of wave-front aberrations. This technique needs neither reference object nor the degraded function and has a good convergence. It can enhance the resolution and sharpness, increase the information content and improve the visual effect of the image, and has broad application prospect in the field of image restoration. In this paper, the phase diversity image restoration technique is studied, and its performance is analyzed in virtue of the concept of the optical transfer function, modulation transfer function and point spread function. Simulation and experimental results both show that phase diversity image restoration technique can not only reduce the influence of wavefront aberrations but also increase the information of low frequency within the cutoff frequency, and improve the contrast. So, the image acquired by phase diversity image restoration can be better than the image acquired by the diffraction limited system.
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Keywords:
- image restoration /
- phase diversity /
- optical transfer function
[1] Shang J G, Jiao B L 2011 Application Research of Computers 28 785 (in Chinese) [商俊国, 焦斌亮 2011 计算机应用研究 28 785]
[2] Wu X J 2006 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [吴显金 2006 博士学位论文 (长沙: 国防科学技术大学) ]
[3] Liu Z, Qiu Y H 1998 Acta Astronomica Sinica 39 217 (in Chinese) [刘忠, 邱耀辉 1998 天文学报 39 217]
[4] Rao C H, Zhang X J 2002 Acta Opt. Sin. 22 789 (in Chinese) [饶长辉, 张学军 2002 光学学报 22 789]
[5] Luo L, Wang L, Cheng W D, Shen M Z 2006 Acta Phys. Sin. 55 6708 (in Chinese) [罗林, 王黎, 程卫东, 沈忙作 2008 物理学报 55 6708]
[6] Gonsalves R 1982 Opt. Engng. 21 829
[7] Paxman R G, Schulz T J, Fienup J R 1992 J. Opt. Soc. Am. A 9 1072
[8] Paxman R G, Seldin J H, Löfdahl M G 1996 Astrophysical Journal 466 1087
[9] Seldin J H, Reiley M F, Paxman R G 1997 Proc. SPIE 3170 277
[10] Smith M W 2003 Novel Optical Systems Design and Optimization VI 5174 60
[11] Gilles L, Vogel C R, Bardsley J 2002 Inverse Problems 18 237
[12] Nocedal J 1980 Mathematics of Computation 35 773
[13] Li F, Rao C H 2010 Chinese J. Lasers 37 2813 (in Chinese) [李斐, 饶长辉 2010 中国激光 37 2813]
[14] Zhao W Q, Chen S S, Feng Z D 2006 Acta Phys. Sin. 55 3363 (in Chinese) [赵维谦, 陈珊珊, 冯政德 2006 物理学报 55 3363]
[15] Lu J, Li H, He Y, Shi G H, Zhang Y D 2011 Acta Phys. Sin. 60 034207 (in Chinese) [卢婧, 李昊, 何毅, 史 国华, 张雨东 2011 物理学报 60 034207]
[16] Liu X M, Liu L R, Bai L H 2006 Chin. Phys. 15 708
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[1] Shang J G, Jiao B L 2011 Application Research of Computers 28 785 (in Chinese) [商俊国, 焦斌亮 2011 计算机应用研究 28 785]
[2] Wu X J 2006 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [吴显金 2006 博士学位论文 (长沙: 国防科学技术大学) ]
[3] Liu Z, Qiu Y H 1998 Acta Astronomica Sinica 39 217 (in Chinese) [刘忠, 邱耀辉 1998 天文学报 39 217]
[4] Rao C H, Zhang X J 2002 Acta Opt. Sin. 22 789 (in Chinese) [饶长辉, 张学军 2002 光学学报 22 789]
[5] Luo L, Wang L, Cheng W D, Shen M Z 2006 Acta Phys. Sin. 55 6708 (in Chinese) [罗林, 王黎, 程卫东, 沈忙作 2008 物理学报 55 6708]
[6] Gonsalves R 1982 Opt. Engng. 21 829
[7] Paxman R G, Schulz T J, Fienup J R 1992 J. Opt. Soc. Am. A 9 1072
[8] Paxman R G, Seldin J H, Löfdahl M G 1996 Astrophysical Journal 466 1087
[9] Seldin J H, Reiley M F, Paxman R G 1997 Proc. SPIE 3170 277
[10] Smith M W 2003 Novel Optical Systems Design and Optimization VI 5174 60
[11] Gilles L, Vogel C R, Bardsley J 2002 Inverse Problems 18 237
[12] Nocedal J 1980 Mathematics of Computation 35 773
[13] Li F, Rao C H 2010 Chinese J. Lasers 37 2813 (in Chinese) [李斐, 饶长辉 2010 中国激光 37 2813]
[14] Zhao W Q, Chen S S, Feng Z D 2006 Acta Phys. Sin. 55 3363 (in Chinese) [赵维谦, 陈珊珊, 冯政德 2006 物理学报 55 3363]
[15] Lu J, Li H, He Y, Shi G H, Zhang Y D 2011 Acta Phys. Sin. 60 034207 (in Chinese) [卢婧, 李昊, 何毅, 史 国华, 张雨东 2011 物理学报 60 034207]
[16] Liu X M, Liu L R, Bai L H 2006 Chin. Phys. 15 708
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