基于小波包变换的分数阶光学加密技术研究
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沈学举(1963-),男,山东淄博人,博士生导师,教授,博 士学位,主要研究方向为光信息处理和激光技术.

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Optical image encryption based on wavelet packet transform and fractional Fourie r transform
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    摘要:

    提出一种基于小波包变换(WPT)的分数阶光学图 像加密方法。利用WPT能够对图像多层次分解的特性,结合分数傅里叶变换(FRFT)的灵活性 ,将双随机相位、小波函数的类型及尺度因子和分数阶次作为密钥, 实现了图像的多重密钥加解密。同时,实现了图像小波域上的选择性加密,使加密样式变得 更灵 活多样,还增强了加密图像的抵抗恶意的攻击能力。数值模拟了加密和解密过程,分析了加 密效果和解密图像质量,验证了本文方法的可行性。

    Abstract:

    A novel method for the optical image e ncryption is presented,which is based on the wavelet packet transform (WPT) and fractional Fourier transform (FRFT).The idea of combining WPT with FRFT comes fr om the study of properties of them.Images can be decomposed by wavelet packet tr ansform.With the increase in the order of WPT,the image will be decomposed into more parts,of which each contains the essential information.Based on the good pr operty of WPT and the flexibility of FRFT,the method implicates encryption and d ecryption of the image and produces many keys,consisting of double random phase masks,the order of WPT and the order of FRFT.Meanwhile,the selected-image-encr yption in wavlet domain is realized in this paper,which varies the patterns of e ncryption.The method improves the security,and the ability of resisting maliciou s attacks is also enhanced.The encryption and decryption are implicated by numer ical simulation.The result of the simulation provides the requirement for analyz ing the properties of encryption and decryption.The feasibility and simplicity o f the method are verified by numerical simulation,and a simple optical implicati on of the method is also proposed.Based on the numerical simulation and theroy a nalysis,it can be confluded that the method for the optical image encryption is novel and effective.

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孔德照,林超,沈学举,王昕,周晗.基于小波包变换的分数阶光学加密技术研究[J].光电子激光,2013,(2):359~364

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  • 收稿日期:2012-07-09
  • 最后修改日期:2012-09-25
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