Perceptual security of encrypted images based on wavelet scaling analysis

C. Vargas-Olmos, J.S. Murguía, M.T. Ramírez-Torres, M. Mejía Carlos, H.C. Rosu and H. González-Aguilar

Physica A: Statistical Mechanics and its Applications, 2016, vol. 456, issue C, 22-30

Abstract: The scaling behavior of the pixel fluctuations of encrypted images is evaluated by using the detrended fluctuation analysis based on wavelets, a modern technique that has been successfully used recently for a wide range of natural phenomena and technological processes. As encryption algorithms, we use the Advanced Encryption System (AES) in RBT mode and two versions of a cryptosystem based on cellular automata, with the encryption process applied both fully and partially by selecting different bitplanes. In all cases, the results show that the encrypted images in which no understandable information can be visually appreciated and whose pixels look totally random present a persistent scaling behavior with the scaling exponent α close to 0.5, implying no correlation between pixels when the DFA with wavelets is applied. This suggests that the scaling exponents of the encrypted images can be used as a perceptual security criterion in the sense that when their values are close to 0.5 (the white noise value) the encrypted images are more secure also from the perceptual point of view.

Keywords: Encryption system; Wavelet transform; Detrended fluctuation analysis; Scaling laws (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:456:y:2016:i:c:p:22-30

DOI: 10.1016/j.physa.2016.03.008

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