基于多阶分数离散切比雪夫变换和产生序列的图像加密方法

doi:10.11959/j.issn.1000-436x.2018072

通信学报 ›› 2018, Vol. 39 ›› Issue (5): 1-10.doi: 10.11959/j.issn.1000-436x.2018072

• 学术论文 • 下一篇

基于多阶分数离散切比雪夫变换和产生序列的图像加密方法

肖斌¹(),史文明¹,李伟生¹,马建峰²

¹ 重庆邮电大学计算智能重点实验室，重庆 400065
² 西安电子科技大学计算机学院，陕西西安 710071

修回日期:2018-01-03 出版日期:2018-05-01 发布日期:2018-06-01
作者简介:肖斌（1982-），男，重庆人，博士，重庆邮电大学教授，主要研究方向为图像处理、模式识别等。|史文明（1990-），男，河南郸城人，重庆邮电大学硕士生，主要研究方向为图像处理、模式识别。|李伟生（1975-），男，四川南充人，博士，重庆邮电大学教授、博士生导师，主要研究方向为智能信息处理、模式识别、信息融合等。|马建峰（1963-），男，陕西西安人，博士，西安电子科技大学教授、博士生导师，主要研究方向为信息安全、密码学与无线网络安全等。
基金资助:
国家自然科学基金资助项目(61572092);国家自然科学基金资助项目(U1401252);国家重点研发计划基金资助项目(2016YFC1000307-3)

Image encryption method based on multiple-order fractional discrete Tchebichef transform and generating sequence

Bin XIAO¹(),Wenming SHI¹,Weisheng LI¹,Jianfeng MA²

¹ Chongqing Key Laboratory of Computational Intelligence,Chongqing University of Posts and Telecommunications,Chongqing 400065,China
² School of Computer Science and Technology,Xidian University,Xi’an 710071,China

Revised:2018-01-03 Online:2018-05-01 Published:2018-06-01
Supported by:
The National Natural Science Foundation of China(61572092);The National Natural Science Foundation of China(U1401252);The National Science ＆Technology Major Project(2016YFC1000307-3)

摘要/Abstract

摘要：

基于分数阶变换的图像加密方法近些年被广泛研究和使用，然而现有的基于分数阶变换的图像加密技术多在复数域进行，加密后的图像既包含了相位信息也包含了振幅信息，不利于传输和存储。另外，一些满足保实性的加密方法，则存在密钥相对单一、敏感性不足等问题。基于此，提出一种基于多阶分数离散切比雪夫变换和产生序列的图像加密方法，该方法使用随机生成的行、列分数阶向量以及通过混沌序列生成的产生序列作为密钥对图像进行加密，在满足实值传输的同时大大扩展了密钥空间。实验结果进一步表明，该加密方法可以抵抗多种攻击，解密后的图像几乎无失真，具有很好的加密效果以及足够的安全性和顽健性。

关键词: 分数阶, 产生序列, 图像加密, 离散切比雪夫变换

Abstract:

Fractional transform based image encryption methods have been widely studied in recent years.However,most of the existing fractional transform based image encryption methods are defined in the complex field.Thus,the encrypted images contain both phase and amplitude information,which is not conducive to transmission and storage.Moreover,some encryption methods that meet the requirements of reality-preserving have problems of relatively single keys,lacking of sensitivity and so on.An image encryption method was proposed based on multiple-order fractional discrete Tchebichef transform and generating sequence.The proposed method used randomly generated row and column vectors and generating sequence generated by Chaotic sequences as keys to encrypt images,which not only satisfied property of reality-preserving transmission but also greatly expanded the key space.The experimental results further demonstrate that the proposed encryption method can resist a variety of attacks,and decrypted images are almost non-distored,which indicate excellent encryption effect,sufficient security and robustness of the method.

Key words: fractional order, generating sequence, image encryption, discrete Tchebichef transform

中图分类号:

TP309.7

肖斌,史文明,李伟生,马建峰. 基于多阶分数离散切比雪夫变换和产生序列的图像加密方法[J]. 通信学报, 2018, 39(5): 1-10.

Bin XIAO,Wenming SHI,Weisheng LI,Jianfeng MA. Image encryption method based on multiple-order fractional discrete Tchebichef transform and generating sequence[J]. Journal on Communications, 2018, 39(5): 1-10.

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图像类型	水平方向	垂直方向	对角线方向
明文图像	0.933 8	0.964 9	0.912 3
密文图像	0.047 2	?0.058 4	?0.069 3

图像尺寸			计算时间/s
图像尺寸	MFrDFT	MFrDCT	MFrDST	MFrDHT	MFrDTT
128像素×128像素	0.411 2	0.467 2	0.370 8	0.458 0	0.291 4
256像素×256像素	4.217 6	4.256 8	3.266 2	4.186 4	2.916 6
512像素×512像素	74.403 0	72.36 5	63.95 1	71.40 7	58.371 6

图像编号	MFrDCT解密结果/dB	MFrDTT解密结果/dB
1	245.32	253.77
2	242.67	255.29
3	245.17	255.01
4	242.68	254.54
5	243.55	254.55

噪声强度		解密图像质量/dB
噪声强度	MFrDCT	MFrDFT	MFrDTT
0.05	32.85	33.30	34.56
0.10	26.72	27.23	27.72
0.20	20.64	21.38	21.99
0.50	12.74	14.05	14.36
0.80	8.44	10.98	9.04
1.00	6.85	9.69	7.07

基于多阶分数离散切比雪夫变换和产生序列的图像加密方法

Image encryption method based on multiple-order fractional discrete Tchebichef transform and generating sequence

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