Hang Shi, Li-Dan Wang. Multi-process image encryption scheme based on compressed sensing and multi-dimensional chaotic system [J]. Acta Physica Sinica, 2019, 68(20): 200501-1
- Acta Physica Sinica
- Vol. 68, Issue 20, 200501-1 (2019)
Fig. 1. Lena and its second-order wavelet packet transformation: (a) Original Lena; (b) second order wavelet packet transformation of Lena.Lena图像及其二阶小波包变换 (a)原图; (b)二阶小波包变换
Fig. 2. Flow chart of classification algorithm.分类算法流程图
Fig. 3. One scrambling encryption algorithm flow chart.一次置乱加密流程图
Fig. 4. Ciphertext image of the S signal: (a) Scrambling ciphertext image once; (b) secondary scrambling ciphertext image.
S 信号的密文图像 (a) 一次置乱密文图像; (b) 二次置乱密文图像
Fig. 5. Secondary scrambling encryption flow chart of S signal
S 信号二次置乱加密流程图
Fig. 6. Image reconstruction flow chart.图像重构流程图
Fig. 7. Original, reconstructed image of Lena: (a) Original image; (b) reconstructed image.Lena图像的明文图像、重构图像 (a)原始图像; (b) Lena重构图像
Fig. 8. More encryption scheme running examples: (a) Original image of Pepper; (b) reconstructed image of Pepper; (c) original image of Cameraman; (d) reconstructed image of Cameraman.更多加密方案运行实例 (a) Pepper原始图像; (b) Pepper重构图像; (c) Cameraman原始图像; (d) Cameraman重构图像
Fig. 9. Correlation distribution of plaintext, ciphertext image in horizontal, vertical and oblique directions of S signal of Lena: (a) Correlation distribution of plaintext of S signal; (b) correlation distribution of ciphertext of S signal.
Lena图像的明文(S 信号)、密文图像在水平、竖直、斜线三个方向的相关分布图 (a)明文图像相关分布图; (b) S 信号的密文图像相关分布图
Fig. 10. Correlation distribution of plaintext, ciphertext image in horizontal, vertical and oblique directions of S signal of Pepper: (a) Correlation distribution of plaintext of S signal; (b) correlation distribution of ciphertext of S signal.
Pepper图像的明文(S 信号)、密文图像在水平、竖直、斜线三个方向的相关分布图 (a)明文图像相关分布图; (b) S 信号的密文图像相关分布图
Fig. 11. Correlation distribution of plaintext, ciphertext image in horizontal, vertical and oblique directions of S signal of Cameraman: (a) Correlation distribution of plaintext of S signal; (b) correlation distribution of ciphertext of S signal
Cameraman图像的明文(S 信号)、密文图像在水平、竖直、斜线三个方向的相关分布图 (a)明文图像相关分布图; (b) S 信号的密文图像相关分布图
Fig. 12. Gray histogram of plaintext and ciphertext of S signal of Lena, Pepper, Cameraman: (a) Gray histogram of plaintext of S signal; (b) gray histogram of plaintext of ciphertext of S signal
Lena, Pepper, Cameraman图像的S 信号的明文、密文的灰度直方图 (a) S 信号的明文灰度直方图; (b) S 信号的密文图像相关分布图
Fig. 13. Reconstruction results of S signals of different images embedded with noise: (a) Reconstruction results of Lena with corresponding Cipher S signal embedded noise; (b) reconstruction results of Pepper with corresponding Cipher S signal embedded noise; (c) reconstruction results of Cameraman with corresponding Cipher S signal embedded noise
不同图像的S 信号嵌入噪声后的重构结果 (a) Lena原始图像、嵌入噪声的S 信号密文、重构图像; (b) Pepper原始图像、嵌入噪声的S 信号密文、重构图像; (c) Cameraman原始图像、嵌入噪声的S 信号密文、重构图像
Fig. 14. Reconstruction results of S signals of different images after pixel shearing: (a) Reconstruction results of Lena with corresponding Cipher S signal with 12.5% pixels lost; (b) reconstruction results of Pepper with corresponding Cipher S signal with 12.5% pixels lost; (c) reconstruction results of Cameraman with corresponding Cipher S signal with 12.5% pixels lost
不同图像的S 信号像素剪切后的重构结果 (a) Lena原始图像、剪切12.5%像素点后的S 信号密文、重构图像; (b) Pepper原始图像、剪切12.5%像素点后的S 信号密文、重构图像; (c) Cameraman原始图像、剪切12.5%像素点后的S 信号密文、重构图像
Fig. 15. The CPA against the encryption algorithm in this paper针对本文加密算法的选择明文攻击
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Table 1.
The number and proportion of 0 pixels in Ci signals in Lena.
Lena图像Ci信号分量0像素点的个数及占比
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Table 2.
Comparisons for the correlation coefficients of different encryption scheme.
比较不同加密方案的相关系数
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Table 3.
Comparisons for the entropy of different encryption scheme.
比较不同加密方案的信息熵
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Table 4.
NPCR, UACI, BACI of different images after changed 1 bit.
修改1 bit像素点后不同图像(S信号)的NPCR, UACI, BACI
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Table 5.
wPSNR and SSIM of different images after processed by scheme in this paper.
本文算法处理下不同图像的wPSNR和SSIM
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Table 6.
Algorithm proposed deals with the time complexity of different images.
本文算法处理不同图像时的时间复杂度
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