| 基于奇异值分解估计点扩散函数的复原算法研究 |
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| 引用本文： | 赵群,石秀英,徐亮,杨进华,李松,朱彦.基于奇异值分解估计点扩散函数的复原算法研究[J].长春光学精密机械学院学报,2012(2):85-88. |
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| 作者姓名： | 赵群 石秀英 徐亮 杨进华 李松 朱彦 |
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| 作者单位： | [1]长春理丁大学光电工程学院,长春130022 [2]空军航空大学,长春130022 |
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| 摘 要： | 基于奇异值分解的性质,从离散退化模型出发,采用理想图像奇异值向量的平均能谱理论,得出用奇异值分解来估计点扩散函数的方法,复原过程用逆滤波法来实现。文中采用奇异值累计和函数的二阶导来确定点扩散函数估计过程中的重组阶数R1,三阶导曲线用于去噪的重组阶数R2的选取。用本文方法进行去噪复原实验,与自动选取法进行比较,去噪复原效果较好。
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| 关 键 词： | 奇异值分解 点扩散函数估计 图像复原 平均能谱指数模型 |
An Image Restoration Algorithm Based on Estimation of PSF Using SVD |
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| ZHAO Qun,SHI Xiuying,XU Liang,YANG Jinhua,LI Song,.School of Opto-Electroincs Engineering,Changchun University of Science and Technology,. Aviation University of Air Force,Changchun,ZHU Yan.An Image Restoration Algorithm Based on Estimation of PSF Using SVD[J].Journal of Changchun Institute of Optics and Fine Mechanics,2012(2):85-88. |
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| Authors: | ZHAO Qun SHI Xiuying XU Liang YANG Jinhua LI Song School of Opto-Electroincs Engineering Changchun University of Science and Technology Aviation University of Air Force Changchun ZHU Yan |
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| Affiliation: | Changehun 130022 |
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| Abstract: | Based on the discrete image degrading model, we derived the amplitude estimation equations of the first order sigular value vecters of the degraded point spread function （PSF） .The spectra of PSF singular vectors were esti mated under an exponential model for the averaged spectra of undegraded image singular vectors. Restoration of the de graded image was achieved by inverse filtering.The second derivative of the cumulative sum function of sigular values was proposed to determine the rank R1 for PSF estimation, while The third one used to choose the rank R2 for de noising.As experience proves, It is better Ihan the automatic selecting method. |
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| Keywords: | singular value decomposition （SVD） estimalion of point spread function （PSF） image restoration expo-nential model of averaged spectra |
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