Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model

Many image encryption schemes based on compressed sensing have the problem of poor quality of decrypted images. To deal with this problem, this paper develops an image encryption scheme by multiscale block compressed sensing. The image is decomposed by a three-level wavelet transform, and the sampli...

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 23; no. 10; p. 1297
Main Authors Shi, Yuandi, Hu, Yinan, Wang, Bin
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 30.09.2021
MDPI
Subjects
Algorithms
Bandwidths
Coefficients
Compression ratio
Data encryption
Data transmission
Decomposition
Efficiency
Encryption
image encryption
Image quality
Image reconstruction
Markov chains
Markov model
multiscale block compressed sensing
Permutations
Sampling
Simulation
state transition matrix
Wavelet transforms
Markov model
multiscale block compressed sensing
image encryption
state transition matrix
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Summary:Many image encryption schemes based on compressed sensing have the problem of poor quality of decrypted images. To deal with this problem, this paper develops an image encryption scheme by multiscale block compressed sensing. The image is decomposed by a three-level wavelet transform, and the sampling rates of coefficient matrices at all levels are calculated according to multiscale block compressed sensing theory and the given compression ratio. The first round of permutation is performed on the internal elements of the coefficient matrices at all levels. Then the coefficient matrix is compressed and combined. The second round of permutation is performed on the combined matrix based on the state transition matrix. Independent diffusion and forward-backward diffusion between pixels are used to obtain the final cipher image. Different sampling rates are set by considering the difference of information between an image's low- and high-frequency parts. Therefore, the reconstruction quality of the decrypted image is better than that of other schemes, which set one sampling rate on an entire image. The proposed scheme takes full advantage of the randomness of the Markov model and shows an excellent encryption effect to resist various attacks.
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content type line 23
ISSN:1099-4300
1099-4300
DOI:10.3390/e23101297