利用阶跃响应的4f光学系统图像复原

徐鑫; 田逢春; 姬艳丽; 李立

光学精密工程, 2010, 18 (4): 973, 网络出版: 2010-08-31

利用阶跃响应的4f光学系统图像复原

Image restoration of 4f information optic systems by step-response

论文大纲

徐鑫 ^*田逢春姬艳丽李立

作者单位

重庆大学通信工程学院,重庆 400030

信息光学图像复原阶跃响应轮廓波变换 4f系统 information optics image restoration step response contourlet transform 4f system

摘要

4f系统的输出图像存在带限低通、随机噪声和相干噪声并存的特点，对其进行复原处理时不仅要注重保护细节，而且还要处理高频随机噪声和低频相干条纹。为了提高其图像质量，针对这些特点提出了一套图像处理方案。首先，利用4f系统的阶跃响应获取相干噪声的位置和强度的先验信息；然后，对阶跃响应图像和待复原的图像分别进行同样过程和侧重保护图像细节的随机噪声去除，利用4f系统的线性特性将两幅去除随机噪声后的图像进行点除以消去相干噪声来完成复原。实验表明，该方案对峰峰信噪比和结构相似度指数都有很好的复原效果，其分别提高了5 db和6%左右；从视觉效果上看，该方法很好地保护了图像细节，符合4f系统的要求。

Abstract

The output images from a conventional 4f information optical system are characterized by their limited frequency bands, random noises and coherent noises in coexistence.Therefore, when those images are restored,it is necessary to protect image details better and to remove the noises in high frequency domain and the coherent fringes in low frequency domain.According to these characteristics, a new method is proposed to restore 4f system images and to improve the image quality.Firstly, the step response image of the 4f system is used to obtain the prior knowledge of the coherent noise, then the step response and pending images are processed to remove the high frequency random noise in contourlet domain.Finally, based on the linear characteristics of 4f system, the pixel value of the pending image divides the pixel value of step response image from point to point to remove the coherent noise.Experiments demanstrate that the method can restore images and protect image details well and its Peak Signal to Noise Ratio(PSNR)and Structural Similarity Index(SSIM) have improved by 5 db and 6%, respectively.These results show that the proposed method is suitable for 4f optical systems.

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徐鑫, 田逢春, 姬艳丽, 李立. 利用阶跃响应的4f光学系统图像复原[J]. 光学精密工程, 2010, 18(4): 973. XU Xin, TIAN Feng-chun, JI Yan-li, LI Li. Image restoration of 4f information optic systems by step-response[J]. Optics and Precision Engineering, 2010, 18(4): 973.

利用阶跃响应的4f光学系统图像复原

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