Optics and Precision Engineering, Volume. 33, Issue 4, 624(2025)
Double hyperchaotic systems combine compressed sensing and Fibonacci transform for color image encryption
Figures & Tables(19)
Table 1. Correlation coefficient between adjacent pixels of the original image and the encrypted
View tableView in ArticleTable 1. Correlation coefficient between adjacent pixels of the original image and the encrypted
图像 原始图像 加密图像 水平 垂直 对角线 水平 垂直 对角线 Lena512 R 0.978 55 0.989 18 0.967 38 -0.002 802 -0.000 144 -0.002 468 G 0.967 2 0.982 56 0.954 44 0.007 593 4 0.005 392 8 -0.000 971 B 0.928 68 0.957 41 0.916 85 -0.003 196 -0.007 935 0.003 881 1 Aeroplane512 R 0.971 9 0.963 87 0.943 21 0.004 307 1 0.001 286 3 0.005 563 4 G 0.949 15 0.968 86 0.926 58 0.005 230 3 0.000 843 05 0.003 758 3 B 0.962 25 0.948 94 0.929 32 -0.005 724 -0.016 453 0.005 930 5 Baboon256 R 0.834 12 0.767 2 0.771 11 0.007 117 9 -0.005 793 8 0.006 552 6 G 0.755 05 0.662 55 0.661 14 -0.003 971 -0.003 130 8 0.006 420 4 B 0.845 7 0.792 32 0.786 53 0.006 619 -0.007 488 -0.006 523
Table 2. Comparison of correlation coefficients
View tableView in ArticleTable 2. Comparison of correlation coefficients
Lena256 水平 垂直 对角线 本文 R 0.000 346 84 0.002 114 3 0.001 274 3 G -0.008 982 -0.007 459 -0.004 007 1 B 0.000 725 42 0.005 065 9 -0.006 925 8 文献［ 5 ］R 0.034 691 0.005 710 1 0.005 859 5 G -0.005 392 -0.006 838 -0.001 048 8 B 0.042 085 0.014 217 0.006 740 8 文献［ 16 ］R -0.004 9 -0.017 4 0.004 5 G 0.001 1 -0.015 6 -0.016 0 B -0.004 5 -0.017 5 0.001 8 文献［ 17 ］R 0.005 6 0.003 6 -0.002 4 G -0.002 4 -0.001 2 0.002 9 B -0.003 5 -0.002 3 0.004 3
Table 3. Comparison of key space
View tableView in ArticleTable 3. Comparison of key space
算法 本文 文献［ 1 ］文献［ 4 ］文献［ 5 ］文献［ 16 ］密钥空间 10180 10 8210 6010 7210 62
Table 4. Analysis of Information entropy
View tableView in ArticleTable 4. Analysis of Information entropy
图像 原始图像 加密图像 R G B 组合图像 R G B 组合图像 Lena512 7.253 1 7.594 6.968 4 7.750 2 7.999 2 7.999 2 7.999 1 7.999 7 Aeroplane512 6.717 8 6.799 6.213 8 6.663 9 7.999 2 7.999 2 7.999 2 7.999 7 Baboon512 7.752 8 7.465 4 7.766 6 7.765 8 7.999 2 7.999 2 7.999 2 7.999 8 Pepper512 7.338 8 7.496 3 7.058 3 7.669 8 7.999 3 7.999 2 7.999 7.999 7 Lena256 7.299 2 7.645 3 6.998 5 7.772 7.996 6 7.997 7.996 8 7.999 Baboon256 7.760 2 7.490 6 7.766 7.771 6 7.996 6 7.996 7 7.997 2 7.999 1 Pepper256 7.344 9 7.560 7 7.100 3 7.713 9 7.996 8 7.996 5 7.996 9 7.999 1
Table 5. Comparison of Information entropy
View tableView in ArticleTable 5. Comparison of Information entropy
算法 Lena512 Baboon512 Lena256 Baboon256 本文 7.999 7 7.999 8 7.999 0 7.999 1 ［ 17 ］- - 7.999 0 7.980 0 ［ 23 ］7.999 0 7.999 1 - -
Table 6. PSNR and SSIM of the image
View tableView in ArticleTable 6. PSNR and SSIM of the image
图像 压缩率 PSNR SSIM R G B R G B Lena512 0.9 41.833 7 41.921 1 41.847 6 0.988 4 0.987 3 0.984 6 0.7 40.940 1 39.510 6 38.182 6 0.978 1 0.976 8 0.961 8 0.5 38.656 7 36.379 9 35.464 6 0.962 8 0.949 4 0.925 7 Pepper512 0.9 40.972 4 41.308 1 38.988 1 0.982 0 0.982 4 0.968 5 0.7 37.627 7 38.667 8 37.769 3 0.960 1 0.969 7 0.957 4 0.5 35.545 2 36.341 5 35.862 4 0.931 6 0.949 8 0.938 9 Tree256 0.9 39.595 4 39.129 8 38.379 9 0.943 9 0.944 9 0.927 6 0.7 35.512 35.158 1 34.469 5 0.880 9 0.903 3 0.859 4 0.5 32.794 9 32.208 3 32.409 1 0.790 2 0.819 7 0.785 1
Table 7. Analysis of resisting differential attacks
View tableView in ArticleTable 7. Analysis of resisting differential attacks
图像 NPCR UACI R G B R G B Lena512 99.607 4 99.608 3 99.610 2 33.471 7 33.465 0 33.476 5 Aeroplane512 99.603 6 99.606 9 99.605 0 33.447 4 33.466 0 33.465 6 Baboon512 99.609 3 99.609 7 99.608 8 33.450 5 33.452 3 33.454 6 Pepper512 99.606 5 99.615 4 99.609 7 33.462 5 33.448 3 33.472 8 Baboon256 99.612 5 99.610 6 99.595 5 33.466 8 33.473 6 33.450 8 Pepper256 99.609 4 99.603 3 99.603 3 33.492 2 33.443 4 33.466 5 Tree256 99.603 3 99.609 4 99.603 3 33.456 5 33.470 2 33.414 0 Lena256 99.603 3 99.609 4 99.609 4 33.464 5 33.458 8 33.458 4 文献［ 4 ］Lena25699.652 1 99.629 2 99.627 7 33.394 33.428 3 33.525 5 文献［ 5 ］Lena25699.607 8 99.592 6 99.606 3 33.457 1 33.452 9 33.649 4 文献［ 16 ］Lena25699.625 7 99.614 5 99.625 7 33.489 2 33.479 8 33.491 6
Table 8. PSNR comparison after SPN attack
View tableView in ArticleTable 8. PSNR comparison after SPN attack
攻击 噪声强度/% 本文 文献［ 5 ］文献［ 26 ］R G B R G B R G B SPN 0.01 30.683 2 32.175 3 34.300 5 32.675 8 31.942 4 32.822 7 28.183 5 27.838 5 27.926 5 0.1 27.814 8 28.182 3 28.753 7 22.724 8 22.086 9 22.866 2 18.101 9 17.874 4 17.972 7 0.2 27.528 8 28.066 28.066 19.664 7 19.171 5 20.098 8 - - -
Table 9. Running time analysis
View tableView in ArticleTable 9. Running time analysis
图像 加密时间 解密时间 Baboon256 0.213 5 2.057 4 Tree256 0.210 2 2.803 0 Lena256 0.211 1 2.774 3 Pepper256 0.212 1 2.398 3 Lena512 0.643 9 8.045 0 Aeroplane512 0.650 8 8.297 9 Baboon512 0.658 3 9.629 3 Pepper512 0.661 4 9.052 4
Table 10. Comparison of running time
View tableView in ArticleTable 10. Comparison of running time
图像 算法 加密时间 解密时间 Baboon256 ［ 30 ］0.263 6 2.694 74 本文 0.213 5 2.057 4 Lena256 ［ 5 ］1.911s 1.946 ［ 6 ］1.24 1.28 本文 0.211 1 2.774 3
Tools
Get Citation
Copy Citation Text
Jingwen JIA, Zhao ZHANG, Hongyan ZHOU, Xuebo CHEN. Double hyperchaotic systems combine compressed sensing and Fibonacci transform for color image encryption[J]. Optics and Precision Engineering, 2025, 33(4): 624
Paper Information
Category:
Received: May. 30, 2024
Accepted: --
Published Online: May. 20, 2025
The Author Email: Zhao ZHANG (zhangzhao@ustl.edu.cn)
© Copyright 2018-2021 | Chinese Laser Press.
All Rights Reserved 沪ICP备15018463号-20