| Blurred Defocused Image Restoration Based on FRFT |
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| 作者姓名： | YANG Wentao FENG Zhuoming LIU Weizhong ZOU Xuecheng |
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| 作者单位： | Institute of Information Science, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China |
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| 基金项目： | Supported by the Nature Science Foundation of Hubei Province （2006ABA080） |
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| 摘 要： | A technique for restoring the blurred image resulted from defocusing of the lens is proposed in this paper, which is based on fractional Fourier transform （FRFT）.The FRFT, as a powerful tool for the analysis of time-varying signals, is closely connected with the optical imaging system. FRFT also can describe optical imaging process just like Fresnel diffractions, so a defocused imaging model based on FRFT is established to explain the blur phenomena of defocusing image. The defocused imaging model is greatly different from the traditional point spread function （PSF） model, and enables to uncover the blur nature of non-focus image. Then, an image restoration method using the novel model is proposed to handle the blurred defocused image. The method adopted a new iterative phase retrieval approach which can approximately estimate phase signals from intensity signals of a single defocused image by means of FRFT. Restoring image may acquire sharp image by implementing inverse FRFT on complex image signal made from the estimated phase signals and intensity signals. Experimental results demonstrate that the method is effective in restoring blurred defocused image.
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| 关 键 词： | 图象重建 FRFT 分数傅立叶变换 散焦图象 |
| 文章编号： | 1007-1202（2007）03-0496-05 |
| 收稿时间： | 31 August 2006 |
| 修稿时间： | 2006-08-31 |
Blurred defocused image restoration based on FRFT |
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| YANG Wentao FENG Zhuoming LIU Weizhong ZOU Xuecheng.Blurred Defocused Image Restoration Based on FRFT[J].Wuhan University Journal of Natural Sciences,2007,12(3):496-500. |
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| Authors: | Yang Wentao Feng Zhuoming Liu Weizhong Zou Xuecheng |
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| Institution: | (1) Institute of Information Science, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China |
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| Abstract: | A technique for restoring the blurred image resulted from defocusing of the lens is proposed in this paper,which is based on fractional Fourier transform (FRFT).The FRFT,as a powerful tool for the analysis of time-varying signals,is closely connected with the optical imaging system. FRFT also can describe optical imaging process just like Fresnel diffractions,so a defocused imaging model based on FRFT is established to explain the blur phenomena of defocusing image. The defocused imaging model is greatly different from the traditional point spread function (PSF) model,and enables to uncover the blur nature of non-focus image. Then,an image restoration method using the novel model is proposed to handle the blurred defocused image. The method adopted a new iterative phase retrieval approach which can approximately estimate phase signals from intensity signals of a single defocused image by means of FRFT. Restoring image may acquire sharp image by implementing inverse FRFT on complex image signal made from the estimated phase signals and intensity signals. Experimental results demonstrate that the method is effective in restoring blurred defocused image. |
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| Keywords: | fractional Fourier transformation fractional order phase retrieval defocused image |
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