基于混沌集的圖像加密算法

李付鵬; 劉敬彪; 王光義; 王康泰

doi:10.11999/JEIT190344

基于混沌集的圖像加密算法

doi: 10.11999/JEIT190344

杭州電子科技大學(xué)電子信息學(xué)院杭州 310018

基金項(xiàng)目: 國(guó)家自然科學(xué)基金(61771176, 61801154)

詳細(xì)信息

作者簡(jiǎn)介:
李付鵬：男，1986年生，博士生，研究方向?yàn)閼涀杵髡袷庪娐?、混沌密碼理論及應(yīng)用

劉敬彪：男，1964年生，教授，研究方向?yàn)楹Ｑ筇綔y(cè)、海底視頻監(jiān)控、電能與數(shù)據(jù)信息混合傳輸

王光義：男，1957年生，教授，研究方向?yàn)樾滦图{米記憶器件理論及應(yīng)用，混沌密碼、信息加密與保密通信

王康泰：男，1980年生，講師，研究方向?yàn)橹悄苄畔⑻幚?，智能?yōu)化算法

通訊作者:
劉敬彪　ab@hdu.edu.cn

中圖分類(lèi)號(hào): TP309.7
計(jì)量
- 文章訪(fǎng)問(wèn)數(shù): 3086
- HTML全文瀏覽量: 1629
- PDF下載量: 184
- 被引次數(shù): 0
出版歷程
- 收稿日期: 2019-05-16
- 修回日期: 2019-08-20
- 網(wǎng)絡(luò)出版日期: 2019-09-29
- 刊出日期: 2020-06-04

An Image Encryption Algorithm Based on Chaos Set

School of Electronic Information, Hangzhou Dianzi University, Hangzhou 310018, China

Funds: The National Natural Science Foundation of China(61771176, 61801154)

摘要

摘要:
該文提出一種基于包含離散混沌系統(tǒng)、連續(xù)混沌系統(tǒng)的混沌系統(tǒng)集的混沌加密算法，該加密算法可以根據(jù)加密強(qiáng)度需求選擇不同的混沌系統(tǒng)組合，利用圖像像素的像素均值及像素坐標(biāo)值為參數(shù)控制混沌密鑰產(chǎn)生，增強(qiáng)混沌密鑰與明文數(shù)據(jù)之間的聯(lián)系。在加密基礎(chǔ)上，將密文按位切割成3個(gè)數(shù)據(jù)后偽裝隱藏在一個(gè)處理后的公開(kāi)圖像內(nèi)，改變了密文外觀特性。通過(guò)對(duì)加密后的圖像進(jìn)行圖像直方圖分析、相鄰像素相關(guān)性分析及圖像信息熵分析，表明該加密算法有效，在圖像保密傳輸中具有應(yīng)用潛力。
- 混沌系統(tǒng) /
- 加密 /
- 圖像偽裝
Abstract:
A novel image encryption algorithm is proposed based on a chaos set which consists of discrete chaotic systems and continuous chaotic systems. The chosen combination of chaotic system is dependent on the encryption intensity. The pixel mean value and pixel coordinate value of images are exploited to control the generation of key, thus enhancing the relationship between chaotic key and plain text. In addition, the octet of cipher text pixel is divided into three parts, and then hided into a processed public image, which can promote the external characteristics of cipher text. The image histogram analysis, correlation analysis, and information entropy analysis methods are adopted to identify the security performance, which indicates the effectiveness of the proposed image encryption algorithm and potential application in the image security transmission.
- Chaos system /
- Encryption /
- Image hiding

HTML全文

圖 1 加密算法流程圖

下載: 全尺寸圖片幻燈片

圖 2 密文像素切割方式

下載: 全尺寸圖片幻燈片

圖 3 圖像加解密效果圖及直方圖

下載: 全尺寸圖片幻燈片

圖 4 公開(kāi)圖像及其隱含密文后效果圖

下載: 全尺寸圖片幻燈片

圖 5 Lina原圖與混沌加密圖像素相關(guān)性比較

下載: 全尺寸圖片幻燈片

表 1 數(shù)據(jù)隱藏方式

擴(kuò)展圖像像素值	攜帶密文圖像像素值
${{{Q}}_{2{{i - 1,}}2{{j - 1}}}}$	${{{Q}}_{2{{i - }}1, 2{{j - }}1}}$
${{{Q}}_{2{{i - }}1, 2{{j}}}}$	${Q_{2i - 1,2j}} + P_{1\;i,j}^2$
${{{Q}}_{2{{i,}}2{{j - }}1}}$	${Q_{2i,2j - 1}} + P_{3\;i,j}^2$
${{{Q}}_{2{{i,}}2{{j}}}}$	${Q_{2i - 1,2j}} + P_{2\;i,j}^2$

下載: 導(dǎo)出CSV

表 2 圖像行列值控制選取混沌加密系統(tǒng)按行列產(chǎn)生密鑰

${\rm{mod}}\left( {i,8} \right){\simfont\text{或}}{\rm{mod}}\left( {j,8} \right)$	1	2	3	4	5	6	7	0
選定的混沌系統(tǒng)	Logistic	Bernoulli	Tent	Hénon	Chen	Lorenz	Lü	Bao

下載: 導(dǎo)出CSV

表 3 圖像相關(guān)系數(shù)分析

相關(guān)系數(shù)	Lina圖明文	Lina圖密文	Lina圖密文^[7]	Lina圖密文^[20]	擴(kuò)展圖像	攜密圖像
水平方向	0.9719	–0.0055	0.0020	–0.0142	0.9333	0.9296
豎直方向	0.9850	–0.0038	–0.0008	–0.0074	0.8799	0.8782
對(duì)角方向	0.9593	0.0028	–0.0058	–0.0183	0.8383	0.8348

下載: 導(dǎo)出CSV

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