基于图像重组和比特置乱的多图像加密 
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Multiple-image Encryption Based on Image Recombination and Bit Scrambling
齐齐哈尔大学 计算机与控制工程学院, 黑龙江 齐齐哈尔 161006
图 & 表
图 1. Bifurcation diagram and sequence distribution diagram of Logistic chaotic system and L-F chaotic system
Fig. 1. Bifurcation diagram and sequence distribution diagram of Logistic chaotic system and L-F chaotic system
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图 2. Multiple-image recombination process
Fig. 2. Multiple-image recombination process
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图 3. 3D binary matrix
Fig. 3. 3D binary matrix
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图 4. High plane bit scrambling
Fig. 4. High plane bit scrambling
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图 5. Low plane bit scrambling
Fig. 5. Low plane bit scrambling
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图 6. Encryption process
Fig. 6. Encryption process
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图 7. Effect of encryption and decryption
Fig. 7. Effect of encryption and decryption
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图 8. The decrypted image after changing the key during decryption
Fig. 8. The decrypted image after changing the key during decryption
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图 9. Decrypted image with arbitrary pixel value plus 1
Fig. 9. Decrypted image with arbitrary pixel value plus 1
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图 10. Histogram of plaintext and ciphertext
Fig. 10. Histogram of plaintext and ciphertext
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图 11. Correlation diagram of adjacent horizontal pixels
Fig. 11. Correlation diagram of adjacent horizontal pixels
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图 12. Robustness analysis
Fig. 12. Robustness analysis
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表 1明文敏感性分析
Table1. Analysis of clear text sensitivity
| Any position pixel plus 1 | Swap positions of two different pixel values | | NPCR | UACI | NPCR | UACI | | 0.996 1 | 0.334 8 | 0.996 0 | 0.335 1 |
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表 2加密过程中密钥发生变化时前后密文的相关系数
Table2. Correlation coefficient of ciphertext before and after key changes in encryption process
| Δx0, 1′=10－14 | ΔintF0, 1′=10－14 | Δu1′=10－14 | Δk=1 | Δx0, 2′=10－14 | ΔintF0, 2′=10－14 | Δu2′=10－14 | | 0.007 8 | 0.005 9 | 0.008 9 | 0.006 3 | －0.002 0 | －0.001 0 | 0.000 1 |
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表 3图像信息熵
Table3. Image information entropy
| Lena | Gril | Lena | Monkey | Dragon | Ciphertext1 | Ciphertext 2 | Ciphertext 3 | Ciphertext 4 | Ciphertext 5 | | 7.460 3 | 7.524 3 | 7.724 2 | 7.659 2 | 0.768 2 | 7.999 2 | 7.999 3 | 7.999 3 | 7.999 3 | 7.999 3 |
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表 4相邻像素相关性
Table4. Correlation of adjacent pixels
| Lena | Gril | Lena | Monkey | Dragon | Cipher-text1 | Cipher-text 2 | Cipher-text 3 | Cipher-text 4 | Cipher-text 5 | | Level | 0.968 4 | 0.916 8 | 0.960 3 | 0.876 9 | 0.936 0 | 0.001 7 | 0.001 6 | 0.001 9 | －0.002 2 | 0.000 3 | | Vertical | 0.935 2 | 0.917 3 | 0.919 6 | 0.916 9 | 0.922 4 | 0.002 3 | 0.000 1 | －0.000 6 | －0.000 1 | －0.001 2 | | Diagonal | 0.908 3 | 0.870 0 | 0.891 2 | 0.845 9 | 0.894 9 | －0.002 5 | 0.000 1 | 0.000 3 | －0.000 2 | －0.003 3 |
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表 5对比分析
Table5. Comparative analysis
| NPCR | UACI | Information entropy | Correlation coefficient(horizontal, vertical, diagonal) | Times | | Ref.[16] | 0 | 0 | 7.997 9 | －0.078 1 | 0.066 5 | 0.060 7 | 9.656 | | Ref.[17] | 0 | 0 | 7.614 8 | －0.007 1 | －0.001 4 | －0.002 6 | - | | Ref.[18] | 0.996 2 | 0.334 3 | 7.999 3 | －0.002 2 | －0.003 1 | 0.001 6 | 0.710 3 | | This paper | 0.996 1 | 0.334 8 | 7.999 2 | 0.001 7 | 0.002 3 | －0.002 5 | 0.502 3 |
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郭媛, 周艳艳, 敬世伟. 基于图像重组和比特置乱的多图像加密[J]. 光子学报, 2020, 49(4): 0410002. Yuan GUO, Yan-yan ZHOU, Shi-wei JING. Multiple-image Encryption Based on Image Recombination and Bit Scrambling[J]. ACTA PHOTONICA SINICA, 2020, 49(4): 0410002.
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