[1]宫 帅,霍 橙,谢 冬.基于压缩感知和DNA编码的图像加密算法[J].南京师范大学学报(工程技术版),2021,21(01):008-14.[doi:10.3969/j.issn.1672-1292.2021.01.002]
　Gong Shuai,Huo Cheng,Xie Dong.Image Encryption Algorithm Based on Compressed Sensing and DNA Coding[J].Journal of Nanjing Normal University(Engineering and Technology),2021,21(01):008-14.[doi:10.3969/j.issn.1672-1292.2021.01.002]
点击复制

基于压缩感知和DNA编码的图像加密算法
分享到：

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
21卷
期数:
2021年01期
页码:
008-14
栏目:
计算机科学与技术
出版日期:
2021-03-15

文章信息/Info

Title:
Image Encryption Algorithm Based on Compressed Sensing and DNA Coding
文章编号:
1672-1292(2021)01-0008-07
作者:
宫 帅; 霍 橙; 谢 冬
安徽师范大学计算机与信息学院,安徽 芜湖 241002
Author(s):
Gong Shuai; Huo Cheng; Xie Dong
School of Computer and Information,Anhui Normal University,Wuhu 241002,China
关键词:
压缩感知; DNA编码; 帐篷映射; 图像加密
Keywords:
compressed sensing; DNA coding; tent map; image encryption
分类号:
TP309
DOI:
10.3969/j.issn.1672-1292.2021.01.002
文献标志码:
A
摘要:
采用后稀疏化方案对待加密的明文图像做压缩感知处理,利用DNA编码规则与帐篷映射产生的混沌矩阵做规则运算,将单一编码多元化,对图像进行像素扩散,最后将扩散矩阵进行分割合并处理形成密文图像. 实验结果表明,提出的图像加密方案具备强的抗攻击特性和较好的重构效果.
Abstract:
In the paper,the plaintext images are firstly compressed by compressed sensing with post sparsing scheme,and then the DNA encoding rules and the chaotic matrix generated by the tent map are used to conduct regular operations to pluralize the singular encoding and diffuse the pixels of the images. Finally,the diffusion matrix is divided and merged to form a ciphertext image. The experimental results show that the proposed image encryption scheme has a stronger anti-attacking character and a better reconstructing effect.

参考文献/References:

[1] CANDES E J,ROMBERG J. Sparsity and incoherence in compressive sampling[J]. Inverse Problems,2007,23(3):969-985.
[2]CANDES E J,TAO T. Near-optional signal recovery from random projections:universal encoding strategies[J]. IEEE Transactions on Information Theory,2006,52(12):5406-5425.
[3]CANDES E J,TAO T. Decoding by linear programming[J]. IEEE Transaction on Information Theory,2005,51(12):4203-4215.
[4]XIE D,PENG H,LI L,et al. A secure and efficient scalable secret image sharing scheme with flexible shadow sizes[J]. Plos one,2017,12(1):0168674.
[5]ZHOU N,ZHANG A,WU J,et al. Novel hybrid image compression-encryption algorithm based on compressive sensing[J]. Optik,2014,125(18):5075-5080.
[6]CAMBARERI V,MANGIA M,PARESCH F,et al. Low-complexity multiclass encryption by compressed sensing[J]. IEEE Transactions on Signal Processing,2015,63(9):2183-2195.
[7]CHAI X,GAN Z,CHEN Y,et al. A visually secure image encryption scheme based on compressive sensing[J]. Signal Processing,2017,134:35-51.
[8]ZHANG Y Q,WANG X Y,LIU J,et al. An image encryption scheme based on the MLNCML system using DNA sequences[J]. Optics and Lasers in Engineering,2016,82:95-103.
[9]王光义,任国瑞,崔明章,等. 基于混沌占空置乱和DNA编码的图像加密算法[J]. 计算机应用与软件,2016,33(6):298-302.
[10]ADLEMAN L. Molecular computation of solution to combinatorial problems[J]. Science,1994,66(11):1021-1024.
[11]ENAYATIFAR R,ABDULLAH A H,IANIN I F. Chaos-based image encryption using a hybrid genetic algorithm and a DNA sequence[J]. Optics and Lasers in Engineering,2014,56(5):83-93.
[12]李红凯,裘国永,王涛. 基于DNA编码的随机真彩图加密算法[J]. 计算机应用研究,2016,49(1):1132-1136.
[13]李孝东,周彩兰,黄林荃. 基于DNA编码的安全高效的图像加密算法[J]. 计算机应用与软件,2018,35(1):318-324.
[14]GILBERT A C,STRAUKRISHNAN M,STRAUSS M. Improved time bounds for near-optimal sparse Fourier representations[C]//Proceedings of SPIE Wavelets XI. San Diego,USA,2005:398-412.
[15]GILBERT A C,STRAUSS M J,TROOP J A,et al. Algorithmic linear dimension reduction in the -1 norm for sparse vectors[C]//Proceedings of the 44th Annual Allerton Conference on Communication,Control and Computing. Monticello,USA,2006.
[16]TROOP J A,GILBERT A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. IEEE Transactions on Information Theory,2007,53(12):4655-4666.
[17]MALLAT S G,ZHANG Z. Matching pursuits with time-frequency dictionaries[J]. IEEE Transactions on Signal Processing,1993,41(2):3397-3415.
[18]NESTEROV Y. Gradient methods for minimizing composite objective function[J]. Mathematical Programming,2013,140(1):125-161.

相似文献/References:

[1]任　娜,等.基于数学形态学的二值文字水印信息稀疏表征方法[J].南京师范大学学报(工程技术版),2015,15(03):040.
　Ren Na,Cao Qu,et al.The Sparse Method of Binary Text Watermark InformationBased on Mathematical Morphology[J].Journal of Nanjing Normal University(Engineering and Technology),2015,15(01):040.

备注/Memo

备注/Memo:
收稿日期:2020-05-15.
基金项目:安徽师范大学博士科研启动基金项目(751869)、安徽省自然科学青年基金项目(1808085QF211).
通讯作者:谢冬,博士,讲师,研究方向:密码学、压缩感知. E-mail:xiedong@ahnu.edu.cn
更新日期/Last Update: 2021-03-15