Acta Optica Sinica, Volume. 41, Issue 19, 1909001(2021)
Color Image Encryption Method Based on Computer Generated Hologram and Chaos
Figures & Tables(27)
Fig. 3. Diagram of RGB channel distribution of color image on hologram reconstruction plane
Fig. 4. Component reconstruction images under different channels. (a) R channel; (b) G channel; (c) B channel
Fig. 5. Component reconstruction images under different channels and their color synthesis effects. (a) R channel; (b) G channel; (c) B channel; (d) color composition effect
Fig. 6. Comparison results of random sequences generated before and after Logistic transformation. (a) Primitive Logistic chaos sequence; (b) improved Logistic chaos sequence
Fig. 9. Schematic of test images and encryption and decryption results of proposed method. (a) Plaintext images; (b) ciphertext images; (c) holograms decrypted from ciphertext images; (d) color decrypted images synthesized by extracting RGB channel components from hologram reconstructions
Fig. 10. Decryption results of ciphertext images after key μ is changed by 0.0001. (a) Lena; (b) peppers; (c) mandril
Fig. 11. Decryption results of ciphertext images after key λ is changed by 50 nm. (a) Lena; (b) peppers; (c) mandril
Fig. 12. Correlation coefficient between decrypted image and plaintext image after changing key λ(Δλ=10-5 mm). (a) Lena; (b) peppers; (c) mandril
Fig. 13. Correlation coefficient between decrypted image and plaintext image after changing key μ(Δμ=10-4). (a) Lena; (b) peppers; (c) mandril
Fig. 14. Plaintext attack effect of proposed algorithm in error secret key. (a) CGH with wrong key decryption; (b) image decrypted with wrong key
Fig. 15. Correlation of adjacent pixels before and after encryption of Lena image. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Fig. 16. Correlation of adjacent pixels before and after encryption of peppers image. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Fig. 17. Correlation of adjacent pixels before and after encryption of mandril image. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Fig. 18. Histogram of Lena image before and after encryption. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Fig. 19. Histogram of peppers image before and after encryption. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Fig. 20. Histogram of mandril image before and after encryption. (a) R channel; (b) G channel; (c) B channel; (d) CGH; (e) ciphertext images
Table 1. Parameter setting for color image encryption
View tableTable 1. Parameter setting for color image encryption
Test image Parameter R channel G channel B channel Lena Z /mm (λ /nm,x0,μ,N) 1200 1700 (532,0.1234,3.9814,100) 2300 Peppers Z /mm (λ /nm,x0,μ,N) 1000 1500 (582,0.1235,3.9815,200) 2000 Mandril Z /mm (λ /nm,x0,μ,N) 1200 1500 (632,0.1236,3.9816,300) 1800
Table 2. Statistics of correlation coefficient between ciphertext image and plaintext image
View tableTable 2. Statistics of correlation coefficient between ciphertext image and plaintext image
Test image Lena Peppers Mandril CC 0.0009 0.0013 -0.0029
Table 3. Statistics of correlation coefficient between ciphertext image and plaintext image
View tableTable 3. Statistics of correlation coefficient between ciphertext image and plaintext image
Test image Rchannel G channel B channel Grayscale Lena 0.9874 0.9669 0.9150 0.9860 Peppers 0.9886 0.9759 0.9675 0.9860 Mandril 0.9959 0.9472 0.9781 0.9811 Ref.[12] 0.8760 0.8910 0.9030 /
Table 4. [in Chinese]
View tableTable 4. [in Chinese]
Parameter Lena Peppers Mandril Ref.[19] Ref.[21] Ref.[22] NPCR 99.6088 99.6045 99.6088 99.6100 99.5239 99.1800 UACI 33.4579 33.4452 33.4416 33.4500 16.5574 24.3339
Table 5. Comparison of correlation coefficients between adjacent pixels in ciphertext images
View tableTable 5. Comparison of correlation coefficients between adjacent pixels in ciphertext images
Direction Lena Peppers Mandril Ref. [19] Ref. [20] Ref. [21] Ref. [22] Ref. [24] Horizontal 0.0026 -0.0019 0.0012 0.0083 0.00139 -0.0090 -0.0039 0.0058 Vertical 0.0017 -0.0047 -0.0027 0.0042 0.00275 0.0029 -0.0050 0.0084 Diagonal 0.0007 0.0022 0.0021 0.0035 0.00159 -0.0065 -0.0049 0.0019
Table 6. Statistics of correlation coefficients of adjacent pixels between plaintext images and holograms
View tableTable 6. Statistics of correlation coefficients of adjacent pixels between plaintext images and holograms
Plaintext image Contrast image Horizontal Vertical Diagonal Lena R channel 0.9970 0.9989 0.9972 G channel 0.9889 0.9949 0.9859 B channel 0.9902 0.9942 0.9888 CGH 0.0019 -0.0113 -0.6200 Peppers R channel 0.9946 0.9950 0.9935 G channel 0.9887 0.9932 0.9875 B channel 0.9807 0.9825 0.9755 CGH 0.0077 -0.0063 -0.6267 Mandril R channel 0.9790 0.9693 0.9662 G channel 0.9708 0.9569 0.9470 B channel 0.9656 0.9547 0.9374 CGH -0.0136 0.0061 -0.4600
Table 7. Information entropy statistics of ciphertext images
View tableTable 7. Information entropy statistics of ciphertext images
Image Lena Peppers Mandril Ref.[20] Ref.[21] Ciphertext image 7.9999709 7.9999687 7.9999706 7.9973000 7.9958000 CGH 6.6047563 6.4658946 6.3891212 / /
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Jun Wu, Gang Wang, Gang Xu. Color Image Encryption Method Based on Computer Generated Hologram and Chaos[J]. Acta Optica Sinica, 2021, 41(19): 1909001
Paper Information
Category: Holography
Received: Feb. 22, 2021
Accepted: Apr. 21, 2021
Published Online: Oct. 29, 2021
The Author Email: Jun Wu (wujun93161@163.com), Gang Xu (xugang@nimte.ac.cn)
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