Motion-blurred image point spread function estimation method based on spectral analysis

XIAN Guang; YAN Chang-xiang; ZHANG Xin-jie

doi:10.3788/YJYXS20142905.0751

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Motion-blurred image point spread function estimation method based on spectral analysis

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- Motion-blurred image point spread function estimation method based on spectral analysis
- Chinese Journal of Liquid Crystals and Displays Vol. 29, Issue 5, Pages: 751-755(2014)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 中国科学院大学北京,中国,100049
- 作者简介：
- 基金信息：
- DOI：10.3788/YJYXS20142905.0751
  CLC： TH741;TP391.4
- Received：23 December 2013，
  
  Revised：20 January 2014，
  
  Published：05 October 2014
- 稿件说明：
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贤光, 颜昌翔, 张新洁. 运动模糊图像点扩散函数的频谱估计法[J]. 液晶与显示, 2014,29(5): 751-755

XIAN Guang, YAN Chang-xiang, ZHANG Xin-jie. Motion-blurred image point spread function estimation method based on spectral analysis[J]. , 2014,29(5): 751-755
贤光, 颜昌翔, 张新洁. 运动模糊图像点扩散函数的频谱估计法[J]. 液晶与显示, 2014,29(5): 751-755 DOI： 10.3788/YJYXS20142905.0751.

XIAN Guang, YAN Chang-xiang, ZHANG Xin-jie. Motion-blurred image point spread function estimation method based on spectral analysis[J]. , 2014,29(5): 751-755 DOI： 10.3788/YJYXS20142905.0751.

摘要

在深入研究无噪声情况下的匀速直线运动模糊图像的点扩散函数特性，提出一种基于频域的识别运动模糊图像模糊方向和模糊长度的算法。分析了对模糊图像频谱图出现平行暗条纹的原因，从理论和实验说明暗条纹的方向与模糊方向垂直的特性，并采用RADON变换法检测这些暗条纹，给出精确的数值估算方法。采用SOBEL算子对模糊图像进行一阶微分运算，求其自相关鉴别曲线，并估算出其模糊长度。仿真分析结果表明，该算法可以准确地识别图像运动模糊参数，其模糊角度绝对误差不超过2，模糊长度绝对误差不超过1个像素。

Abstract

This paper studied the characteristics of uniform linear motion blurred image of the point spread function in noiseless case

and proposed an algorithm which identify the direction of motion-blurred image blur and blur length in frequency domain. Firstly

the causes of parallel dark stripes appeared in blurred image spectrogram were analyzed

and the characteristics of the direction of dark stripes perpendicular to fuzzy orientation were explained both in the theoretical and experimental methods. Then the RADON transform method was used to detect these dark stripes

for giving precise numerical estimation method. The SOBEL operator was used as first-order differential operators to the fuzzy image

to seek its autocorrelation curve

and estimates its blur length. The simulation analysis shows that the algorithm can accurately identify the image motion blur parameters

the absolute error of angle and length does not exceed 2 and 1 pixel

respectively.

关键词

Keywords

references

Moghaddam M E. Finding point spread function of motion blur using Radon transform and modeling the motion length[C].Proceedings of the Fourth IEEE International Symposium on Signal Processing and Information Technology, 2004:314-317.[2] Sun H W, Michel. Motion blur adaptive identification from natural image model[C].16th IEEE International Conference on Image Processing (ICIP),2009: 137-140.[3] 李海森,张艳宁,姚瑞,等. 基于主成分分析的直线运动模糊参数估计[J]. 光学精密工程, 2013, 21(10):2656-2663. Li H S, Zhang Y N, Yao R.Parameter estimation of liner motion blur based on principal component analysis[J].Optics and Precision Engineering,2013, 21(10):2656-2663. (in Chinese)[4] 郭永彩,郭瑞瑞,高潮. 运动模糊图像点扩散函数的参数鉴别[J]. 仪器仪表学报, 2010, 31(5):1052-1057 Guo Y C, Guo R R, Gao C. Identification of blur parameters from motion blurred images[J].Chinese Journal of Scientific Instrument,2010, 13(5): 1052-1057. (in Chinese)[5] 李楠,路小波. 散焦和运动模糊复合模型及参数估计[J]. 仪器仪表学报, 2011,32(11):2523-2529. Li N, Lu X B. Hybrid model and parameter estimation combining defocus and motion blur[J].Chinese Journal of Scientific Instrument,2011, 32(11): 2523-2529. (in Chinese)[6] 廖永忠,蔡自兴,何湘华. 快速运动模糊图像盲解卷积算法[J]. 光学精密工程, 2013, 21(10): 2688-2695. Liao Y Z, Cai Z X,He X H.Fast algorithm for motion blurred image blind deconvolution[J].Optics and Precision Engineering,2013, 21(10):2688-2695. (in Chinese)[7] 孔勇奇,卢敏,潘志庚. 频谱预处理模糊运动方向鉴别的改进算法[J]. 中国图像图形学报, 2013, 18(6): 637-646. Kong Y Q,Lu M,Pan Z G.Motion blur direction detection based on pre-processing of spectrum image[J].Journal of Image and Graphics,2013, 18(6): 637-646.[8] 乐翔,程建,李民. 一种改进的基于Radon变换的运动模糊图像参数估计方法[J]. 红外与激光工程, 2011, 40(5): 963-969. Le X, Cheng J, Li M. Improved approach to motion blur identification based on Radon transform[J].Infrared and Laser Engineering,2011, 40(5): 963-969.[9] 赵鹏,曹军等,韦星竹. 匀速直线运动模糊图像的模糊参数鲁棒识别[J]. 光学精密工程, 2013, 21(9): 2431-2438. Zhao P, Cao J, Wei X Z,et al.Identification of robust blur parameter for uniform liner motion blurred images.Optics and Precision Engineering, 2013, 21(9):2431-2438. (in Chinese)[10] 张敏. 基于Radon变换的超分辨率运动模糊图像恢复[D].成都:西南交通大学,2009: 26-36. Zhang M. The super-resolution restoration of motion blurred images based on Radon transform[D].Chengdu:Southwest Jiao Tong University, 2009:26-36.

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