Shan Tao, Chen Tang, Zhenkun Lei. Image Encryption Based on Vector Decomposition and Chaotic Random Phase Mask[J]. Laser & Optoelectronics Progress, 2020, 57(4): 041002
- Laser & Optoelectronics Progress
- Vol. 57, Issue 4, 041002 (2020)
Fig. 1. Flow chart of encryption and decryption. (a) Flow chart of encryption; (b) flow chart of decryption
Fig. 2. Lena image, encryption and decryption image, M1, CRPM1 and CRPM2. (a) Lena image; (b) encryption image; (c) decryption image; (d) M1; (e) CRPM1; (f) CRPM2
Fig. 3. Decrypted results when the key is wrong. (a) x0=0.501+1×10-15; (b) y0=0.601+1×10-15; (c) a0=1.40+1×10-15; (d) b0=0.3+1×10-15; (e) x1=0.500+1×10-15; (f) y1=0.600+1×10-15; (g) a1=1.39+1×10-15; (h) b1=0.3+1×10-15; (i) α=0.3+1×10-2; (j) β=0.4+1×10
Fig. 4. Correlation coefficient value (CC)between the decrypted image and the original image. (a)Key secret x0 with a deviation of Δx0;(b) key secret y0 with a deviation of Δy0;(c) key secret a0 with a deviation of Δa0; (d) key secret b0 with a deviation of Δb0; (e) key secret x1 with a deviation of Δx1; (f) key secret y
Fig. 5. Results of occlusion attack resistance. (a) Encrypted image with 6.25% occlusion size obtained with our method; (b) decrypted image with 6.25% occlusion size obtained with our method; (c) decrypted image with 6.25% occlusion size obtained with the method in Ref.[28]; (d) encrypted image with 12.5% occlusion size obtained with our method; (e) decrypted image with 12.5% occlusion size with our method; (f) decrypted image with 12.5% occlusion size obtained with the method in Ref.[28]
Fig. 6. Correlation coefficient value CC between decrypted image and original image obtained with our method and methods in Ref.[28] and Ref.[33] vs. occlusion percent
Fig. 7. Decrypted images from noise-affected cipher image with different methods. (a) Our method, k=0.1; (b) our method, k=0.3; (c) method in Ref.[28], k=0.1; (d) method in Ref.[33], k=0.3
Fig. 8. Correlation coefficient value CC between decrypted image and original image obtained with our method and methods in Ref.[28] and Ref.[33] vs. noise attack intensity
Fig. 9. Original images and encryption results. (a) Lena image; (b) an image with a different pixel value than the Lena image; (c) encryption result of Lena image; (d) encryption result of figure (b)
Fig. 10. Results of encryption and decryption. (a) Peppers image; (b) encryption image of peppers; (c) decryption image of peppers
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Table 1. Correlation coefficients of two adjacent pixels in the Lena image and the cipher images encrypted by different encryption systems
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