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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/10/1297 |
| _version_ | 1797514650090209280 |
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| author | Yuandi Shi Yinan Hu Bin Wang |
| author_facet | Yuandi Shi Yinan Hu Bin Wang |
| author_sort | Yuandi Shi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T06:34:36Z |
| format | Article |
| id | doaj.art-5136b7dec7f44245bdf796dd6329ce77 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T06:34:36Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5136b7dec7f44245bdf796dd6329ce772023-11-22T18:10:50ZengMDPI AGEntropy1099-43002021-09-012310129710.3390/e23101297Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov ModelYuandi Shi0Yinan Hu1Bin Wang2The Key Laboratory of Advanced Design and Intelligent Computing, Ministry of Education, School of Software Engineering, Dalian University, Dalian 116622, ChinaThe Key Laboratory of Advanced Design and Intelligent Computing, Ministry of Education, School of Software Engineering, Dalian University, Dalian 116622, ChinaThe Key Laboratory of Advanced Design and Intelligent Computing, Ministry of Education, School of Software Engineering, Dalian University, Dalian 116622, ChinaMany 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.https://www.mdpi.com/1099-4300/23/10/1297image encryptionmultiscale block compressed sensingstate transition matrixMarkov model |
| spellingShingle | Yuandi Shi Yinan Hu Bin Wang Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model Entropy image encryption multiscale block compressed sensing state transition matrix Markov model |
| title | Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model |
| title_full | Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model |
| title_fullStr | Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model |
| title_full_unstemmed | Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model |
| title_short | Image Encryption Scheme Based on Multiscale Block Compressed Sensing and Markov Model |
| title_sort | image encryption scheme based on multiscale block compressed sensing and markov model |
| topic | image encryption multiscale block compressed sensing state transition matrix Markov model |
| url | https://www.mdpi.com/1099-4300/23/10/1297 |
| work_keys_str_mv | AT yuandishi imageencryptionschemebasedonmultiscaleblockcompressedsensingandmarkovmodel AT yinanhu imageencryptionschemebasedonmultiscaleblockcompressedsensingandmarkovmodel AT binwang imageencryptionschemebasedonmultiscaleblockcompressedsensingandmarkovmodel |