Multiple-color-image compression and encryption by using discrete wavelet transform in Fresnel transform domain
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摘要: 为了解决多彩色图像加密后，解密图像质量不佳、数据量大以及传输时速率慢的问题，采用了一种基于小波变换和菲涅耳变换的多彩色图像加密方法，加密过程中，利用小波变换的多级分解特性提取每幅彩色图像的低频分量，将低频分量分别重组为三元组图像（R，G和B），并且依次将三元组图像（R，G和B）通过菲涅耳域中的衍射加密系统，对这3个三元组图像进一步加密，从而实现了多彩色图像的加密。结果表明，该方法不仅可以高质量地恢复原始彩色图像，而且可以同时对4幅彩色图像进行加密，提高了加密彩色图像的容量；原始图像经过小波变换，其数据量压缩到原来的1/4，有利于数据的传输和存储。该算法能够有效地同时对多幅色彩图像进行压缩和加密，不仅提高了解密图像的质量，并且具有较高的密钥敏感度和较好的鲁棒性。Abstract: In order to solve the problems of the low quality of image, the large amount of data and the slow rate of transmission, an optical compression and encryption method of multiple-color images by using discrete wavelet transform in Fresnel transform domain had been proposed. In the process of encryption, the low-frequency components of each color image were extracted by using the multilevel decomposition characteristics of wavelet transform, and the low frequency components were reorganized to triplet images (R, G and B), respectively. And the triplet images (R, G and B) were sequentially encrypted through the diffraction encryption system in the Fresnel domain. After triplet images were further encrypted, the encryption of multi-color images was realized. The results show that, the method can not only reconstruct the original color image with high quality, but also encrypt 4 color-images at the same time, which increases the capacity of the encrypted color image. The data volume of the encryption is compressed 1/4 after wavelet transform, which is beneficial to the transmission and storage of the data. The algorithm can effectively compress and encrypt multiple-color images at the same time. It not only improves the quality of the decrypted image, but also has high key sensitivity and good robustness.
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Figure 6. Gray-level histograms and auto-correlation pictures before and after encryption
Table 1 Cxy values of the decrypted images
Cxy values peppers tress lake fruits the proposal 0.9939 0.9960 0.9833 0.9974 reference [18] 0.9411 0.8746 0.8512 0.8574 
下载: 导出CSV
Table 2 Cxy values of the decrypted images after noise
salt-and-pepper noise with different stand deviation Cxy values of decrypted images pepper tress lake fruits k=0.8 0.9180 0.9592 0.9538 0.9424 k=1 0.9035 0.9526 0.9470 0.9345
下载: 导出CSV
Table 3 Cxy values of the corresponding decrypted images after occlusion
occlusion of the encrypted image/% Cxy values of decrypted images pepper tress lake fruits 25% 0.6525 0.7702 0.7606 0. 7082 50% 0.3943 0.5383 0.5137 0.4685
下载: 导出CSV
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