基于多方向像素连续折叠机制与Radon变换的图像加密算法

doi:10.11959/j.issn.1000-0801.2017236

电信科学 ›› 2017, Vol. 33 ›› Issue (9): 108-118.doi: 10.11959/j.issn.1000-0801.2017236

基于多方向像素连续折叠机制与Radon变换的图像加密算法

孙力¹,黄正谦²,项振茂¹

¹ 浙江警察学院计算机与信息技术系，浙江杭州 310053
² 浙江大学计算机科学与技术学院，浙江杭州 310027

修回日期:2017-06-01 出版日期:2017-09-01 发布日期:2017-09-11
作者简介:孙力（1962-），男，浙江警察学院计算机与信息技术系讲师，主要研究方向为图像处理、信息安全。|黄正谦（1963-），男，浙江大学计算机科学与技术学院讲师，主要研究方向为图像处理、网络信息安全。|项振茂（1964-），男，浙江警察学院计算机与信息技术系教授，主要研究方向为信息安全、计算机取证。
基金资助:
国家自然科学基金——浙江省两化融合联合基金资助项目(U1509219);浙江省自然科学基金资助项目(LQ13F030013)

Image encryption algorithm based on multi-direction pixel continuous folding mechanism and Radon transform

Li SUN¹,Zhengqian HUANG²,Zhenmao XIANG¹

¹ Department of Computer and Information Technology,Zhejiang Police College,Hangzhou 310053,China
² School of Computer Science and Technology,Zhejiang University,Hangzhou 310027,China

Revised:2017-06-01 Online:2017-09-01 Published:2017-09-11
Supported by:
The National Natural Science Foundation of China—Zhejiang Joint Foundation for the Integration of Industrialization and Informatization(U1509219);Zhejiang Provincial Natural Science Foundation of China(LQ13F030013)

摘要/Abstract

摘要：

提出了基于多方向像素连续折叠机制与Radon变换的图像加密算法，从不同的方向、利用不同的像素扩散技术来加密明文，显著消除密文周期性。首先，对初始明文完成均等分割，获取左、右两个子块；引入Radon变换机制，对左、右子块进行0°～180°的Radon变换，获取对应的Radon投影谱图像；利用Arnold映射、引力模型分别混淆左、右子块的Radon谱图像，获取两个子置乱密文，将二者进行组合，输出完整的置乱图像。为了从空间多个方向来扩散像素，设计了4个方向连续折叠机制，利用4个不同方向对应的扩散函数来改变像素值，实现图像加密。实验结果表明，与当前图像加密技术相比，所提算法具有更高的安全性与抗攻击能力，输出密文的像素分布更加均匀。

关键词: 图像加密, 多方向像素连续折叠, Radon变换, Radon投影谱, Arnold映射, 引力模型

Abstract:

The image encryption algorithm based on multi-direction pixel continuous folding mechanism and Radon transform was proposed.Firstly,the initial plaintext was equally segmented to get left and right sub-blocks.Then the Radon transform was used to obtain the radon projection spectrum image by processing the left and right blocks at 0～180 degrees.And Radon projection spectrum image of left block was permutated by Arnold map,while the Radon projection spectrum image of right block was permutated based on gravity model to get two su-scrambling ciphers,then the entire scrambled image is formed by combining them.To diffuse pixels from multiple directions in space,four direction continuous folding mechanism was designed to change the pixel values by using the diffusion function corresponding to four different directions for realizing image encryption.The experimental results show that this algorithm has higher security and attack resistance with more uniform of pixel distribution in output cipher compared with the current image encryption technology.

Key words: image encryption, Radon transform, Radon projection spectrum, Arnold mapping, multi-direction pixel continuous folding, Gravity model

中图分类号:

TP391

孙力,黄正谦,项振茂. 基于多方向像素连续折叠机制与Radon变换的图像加密算法[J]. 电信科学, 2017, 33(9): 108-118.

Li SUN,Zhengqian HUANG,Zhenmao XIANG. Image encryption algorithm based on multi-direction pixel continuous folding mechanism and Radon transform[J]. Telecommunications Science, 2017, 33(9): 108-118.

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参考文献 14

[1]	韩珂, 张泽中 . 基于雅克比椭圆混沌映射的图像加密算法研究[J]. 计算机仿真, 2014,10(9): 187-192.
	HAN K , ZHANG Z Z . Study on image encryption algorithm based on Jacobian elliptic chaotic map[J]. Computer Simulation, 2014,10(9): 187-192.
[2]	CHEN L , MA B , ZHAO X H . Differential cryptanalysis of a novel image encryption algorithm based on chaos and line map[J]. Nonlinear Dynamics, 2017,87(3): 1797-1807.
[3]	崔业勤, 丁国超 . 基于单图像局部置乱和动态反馈扩散的混沌图像加密算法[J]. 电信科学, 2016,32(11): 93-100.
	CUI Y Q , DING G C . Chaotic image encryption algorithm based on single image local scrambling and dynamic feedback diffusion[J]. Telecommunications Science, 2016,32(11): 93-100.
[4]	刘会, 金聪 . 基于量子混沌映射的高效安全的图像加密算法[J]. 计算机工程与科学, 2016,38(11): 2227-2233.
	LIU H , JIN C . An efficient and secure image encryption algorithm based on quantum chaotic mapping[J]. Computer Engineering and Science, 2016,38(11): 2227-2233.
[5]	TANG Z J , WANG F , ZHANG X Q . Image encryption based on random projection partition and chaotic system[J]. Multimedia Tools and Applications, 2017,76(7): 8257-8283.
[6]	LI Y P , WANG C H , CHEN H . A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation[J]. Optics and Lasers in Engineering, 2017,90(3): 238-246.
[7]	吴晶晶 . 基于混沌置乱和Radon变换置乱的图像加密算法[D]. 哈尔滨:哈尔滨工业大学, 2012.
	WU J J . Image encryption algorithm based on chaos system scrambling and Radon transforms scrambling[D]. Harbin:Harbin Institute of Technology, 2012.
[8]	SAHA B J , KABI K K . A new approach on color image encryption using arnold 4D cat map[J]. Computational Intelligence in Data Mining, 2016,410(37): 131-136.
[9]	郭静博, 孙琼琼 . 改进的引力模型耦合明文像素相关交叉机制的图像加密算法[J]. 包装工程, 2016,7(13): 165-172.
	GUO J B , SUN Q Q . Image encryption algorithm based on improved gravity model coupled with plain pixel correlation crossing mechanism[J]. Packing Engineering, 2016,7(13): 165-172.
[10]	PARVEES M Y M , SAMATH J A , BOSE B P . Protecting large size medical images with logistic map using dynamic parameters and key image[J]. International Journal of Network Security, 2017,19(6): 984-994.
[11]	LIU L F , MIAO S X . A new image encryption algorithm based on logistic chaotic map with varying parameter[J]. Springer Plus, 2016,5(1): 1-12.
[12]	丁汀, 王晓侃 . 像素交叉移位变换耦合动态和谐搜索优化机制的图像加密[J]. 华侨大学学报(自然科学版), 2017,38(2): 229-235.
	DING T , WANG X K . Image encryption algorithm based on pixel cross shift transform coupling dynamic harmony search optimization mechanism[J]. Jouanal of Huaqiao University (Natural Science), 2017,38(2): 229-235.
[13]	WANG X Y , ZHANG H L . A novel image encryption algorithm based on genetic recombination and hyper-chaotic systems[J]. Nonlinear Dynamics, 2016,83(2): 333-346.
[14]	李凯佳, 俞锐刚, 袁凌云 . 基于 DNA-记忆元胞自动机与Hash函数的图像加密算法[J]. 计算机工程与设计, 2017,38(2): 470-477.
	LI K J , YU R G , YUAN L Y . Image encryption algorithm based on DNA-memory element automation and Hash function[J]. Computer Engineering and Design, 2017,38(2): 470-477.

名称	本文算法	参考文献[6]算法	参考文献[11]算法
密文熵值	7.999 2	7.998 4	7.996 5

选取方向	图7(a)	图7(b)	图7(c)	图7(d)
水平	0.967 4	0.002 3	0.003 8	0.006 1
垂直	0.940 9	0.003 3	0.005 9	0.007 7
对角线	0.918 3	0.001 6	0.003 5	-0.004 8

基于多方向像素连续折叠机制与Radon变换的图像加密算法

Image encryption algorithm based on multi-direction pixel continuous folding mechanism and Radon transform

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