基于离散小波变换的离散正交S变换域图像加密算法
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摘要
目前基于混沌系统的彩色图像加密算法并未充分地考虑图像时频域特征,并且具有密钥空间小的缺点,对此提出了一种基于离散正交S变换域的彩色图像编解码技术。将图像分解为RGB三色通道,对每个通道分别进行离散正交S变换(DOST);对各通道使用一级离散小波变换(DWT),将每个通道分解为四个子带;使用DWT分解各子带;对奇异值进行乘法运算,使用新奇异值重构所有的子带。可将DOST的子带数量、奇异值参数以及DWT子带的排列顺序作为密钥,从密钥获取难度极高。实验结果表明,方法具有较好的加密效果,安全性优于其他的算法。
The existing chaotic system based color image encryption algorithms do not consider the time and frequency domain features fully, and have the shortcoming of small key space, a discrete orthonormal Stockwell transform(DOST) based color image encoding and decoding technique is proposed. Firstly, image is divided into RGB three channels, each channel is processed by DOST independently.Then, each channel is processed by the first level DWT, so that each channel is decomposed into four subbands.Furthermore, DWT is used to decompose each subband.Lastly, the singular value is processed with multiplication operation and the new singular value is used to reconstruct all subbands. The number of bands used in DOST, parameters used with singular values and arrangement of DWT subbands can be selected as encoding keys, so it is very hard to get the correct key. Experiments results show that the proposal has better encryption and security performance than the other algorithms.
The existing chaotic system based color image encryption algorithms do not consider the time and frequency domain features fully, and have the shortcoming of small key space, a discrete orthonormal Stockwell transform(DOST) based color image encoding and decoding technique is proposed. Firstly, image is divided into RGB three channels, each channel is processed by DOST independently.Then, each channel is processed by the first level DWT, so that each channel is decomposed into four subbands.Furthermore, DWT is used to decompose each subband.Lastly, the singular value is processed with multiplication operation and the new singular value is used to reconstruct all subbands. The number of bands used in DOST, parameters used with singular values and arrangement of DWT subbands can be selected as encoding keys, so it is very hard to get the correct key. Experiments results show that the proposal has better encryption and security performance than the other algorithms.
引文
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[2] 卓力,龙海霞,彭远帆,等.加密域图像处理综述[J].北京工业大学学报,2016,42(2):174—183.ZhuoLi,LongHaixia,PengYuanfan,et al.Image processing in encrypted domain:a comprehensive survey[J].Journal of Beijing University of Technology,2016,42(2):174—183.
[3] 易成岐,姜京池,薛一波.基于社会网络特性的双混沌互反馈加密算法研究[J].计算机工程与科学,2016,38(2):277—283.Yi Chengqi,Jiang Jingye,Xue Yibo.An encryption algorithm of double chaos with mutual feedback based on the features of social networks[J].Computer Engineering and Science,2016,38(2):277—283.
[4] 王倩,于来行,曹彦,等.基于Fibonacci置乱的小波域数字图像盲水印算法[J].计算机科学,2018,6(6):135—140.Wang Qian,Yu Laixing,Cao Yan,et al.Blind watermarking algorithm for digital image based on fibonacci scrambling in wavelet domain[J].Computer Science,2018,6(6):135—140.
[5] 李婧,吕晓东,马毛粉,等.基于频谱融合技术的光学衍射成像彩色图像加密系统[J].光子学报,2015,44(7):167—172.Li Jing,Lv Xiaodong,Ma Maofen,et al.Optical color image encryption in diffraction imaging scheme based on spectrum fusion[J].Acta Photonica Sinica,2015,44(7):167—172.
[6] 王永,马键滨,刘兆龙,等.基于时空混沌系统的彩色图像加密算法[J].计算机应用研究,2017,34(8):2464—2468.Wang Yong,Ma Jianbin,Liu Zhaolong,et al.Color image encryption algorithm based on spatiotemporal chaotic system[J].Application Research of Computers,2017,34(8):2464—2468.
[7] 徐光宪,郭晓娟.改进的DNA图像加密算法[J].激光杂志,2014,07(7):23—25.Xu Guangxian,Guo Xiaojuan.DNA image encryption algorithm improvement[J].Laser Journal,2014,07(7):23—25.
[8] Abuturab M R.Generalized arnold map-based optical multiple color-image encoding in gyrator transform domain[J].Optics Communications,2015,343:157—171.
[9] Rawat C S D,Meher S.Selection of wavelet for image compression in hybrid coding scheme combining SPIHT- and SOFM-based vector quantisation[J].International Journal of Signal & Imaging Systems Engineering,2014,7(1):38—42.
[10] Wang Y,Quan C,Tay C J.Asymmetric optical image encryption based on an improved amplitude–phase retrieval algorithm[J].Optics & Lasers in Engineering,2016,78(1):8—16.
[11] Chen L ,Liu J ,Wen J ,et al.A new optical image encryption method based on multi-beams interference and vector composition[J].Optics & Laser Technology,2015,69(1):80—86.
[12] Bai Y,Xiaodong L,Li G,et al.Optical interference double gray image encryption system based on compressive sensing[J].Laser & Optoelectronics Progress,2016,53(4):10—21.
[13] Ahouzi E,Lizana A,Campos J,et al.Optical image encryption technique based on deterministic phase masks[J].Optical Engineering,2016,55(10):103—108.
[14] 陈伟琦,李倩.基于DWT-SVD的图像双零水印算法[J].计算机工程与科学,2014,10(10):1991—1996.Chen Weiqi,Li Qian.A DWT-SVD based double zero watermarking algorithm[J].Computer Engineering and Science,2014,10(10):1991—1996.
[15] Mendlovic D,Konforti N.Optical realization of the wavelet transform for two-dimensional objects[J].Applied Optics,1993,32(32):6542—6546.
[16] Stockwell R G,Mansinha L,Lowe R P.Localization of the complex spectrum:the S transform[J].IEEE transactions on signal processing,1996,44(4):998—1001.
[17] Stockwell R G.A basis for efficient representation of the S-transform[J].Digital Signal Processing,2007,17(1):371—393.
[18] Wang Z,Bovik A C.A universal image quality index[J].Signal Processing Letters,2002,9(3):81—84.
[19] Behnia S ,Akhshani A ,Mahmodi H ,et al.A novel algorithm for image encryption based on mixture of chaotic maps[J].Chaos,Solitons and Fractals,2008,35(2):408—419.