SCIENTIA SINICA Informationis, Volume 47 , Issue 6 : 736(2017) https://doi.org/10.1360/N112016-00241

## Privacy-preserving encrypted image fusion algorithm for remote sensing

• ReceivedOct 9, 2016
• AcceptedNov 28, 2016
• PublishedMar 6, 2017
Share
Rating

### Funded by

• Figure 1

(Color online) Examples of remote sensing images. (a) Panchromatic image; (b) multi-spectral image

• Figure 2

Flow chart of principal component analysis transformation method

• Figure 3

(Color online) Privacy-preserving image fusion system model

• Figure 10

(Color online) Fusion image obtained by decryption

• Figure 13

(Color online) Algorithm execution time with varying iterations

• Figure 14

(Color online) Correlation between adjacent pixels in encrypted image with different iterations

• Figure 17

(Color online) Examples illustrating decryption with incorrect and correct keys. (a) $x_0=0.10000001$;protectłinebreak (b) $x_0=0.63278099$; (c) $x_0=0.63278101$; (d) correct key $x_0$

• Figure 18

(Color online) Example illustrating encrypted images under attacks and their corresponding decrypted images. (a) Shear attack encrypted image; (b) decrypted image of (a); (c) noise attack encrypted image; (d) decrypted image of (c)

• Table 1   Quantitative comparison of image fusion results
 Image Mean Standard Information Average Correlation deviation entropy gradient coefficient Original multi-spectral image 103.495 57.2562 6.398 13.103 – Fusion image with PCA 98.371 49.492 6.673 14.685 0.7565 Fusion image with SecureFusion 98.371 49.492 6.673 14.685 0.7565
• Table 2   Statistical analysis of the encrypted image with varying keys
 Statistic Original Key $x_0$ image 0.00001 0.0001 0.001 0.01 0.1 0.3 0.5 0.7 0.9 Horizontal 0.9275 $-$0.0121 $-$0.0086 $-$0.0111 $-$0.0128 $-$0.0132 $-$0.0058 $-$0.0032 $-$0.0069 $-$0.0133 correlation Vertical 0.9099 0.00017 $-$0.00038 $-$0.00019 0.00018 0.0012 0.0017 0.0018 0.00064 0.00057 correlation Right opposite 0.8561 $-$0.00031 $-$0.00029 0.00010 $-$0.0017 $-$0.0011 0.00032 $-$0.000076 0.00041 $-$0.0022 angles correlation Left opposite 0.877 0.00057 0.00039 0.00022 0.00085 0.00016 $-$0.00099 $-$0.001 0.0014 0.00065 angles correlation Average – 521.4309 520.9178 521.5568 521.2322 521.0533 521.1658 521.5278 521.2874 521.3996 move distance Fixed point – 0.000001 0 0 0 0.000002 0 0.000001 0.000001 0.000001 percentage
• Table 3   Quantitative comparison of image fusion results
 Image Mean Standard Informatio Average Correlation deviation entropy gradient coefficient Fusion image without attack 98.371 49.492 6.673 14.685 0.7565 Fusion image with shear attack 86.600 56.739 6.250 10.077 0.587 Fusion image with noise attack 99.847 50.738 6.622 16.541 0.699

Citations

Altmetric