Abstract
In recent decades, many excellent holistic image encryption schemes have been proposed. However, considering the practical application environment, only specific content in the image needs to be encrypted. Therefore, this paper proposes a chaos-based image encryption algorithm for the specific content of images. First, we propose a new chaotic map called Delay Exponential Logistic Chaotic Model. The simulation experiments show that the chaotic model has superior chaotic properties and produces complex pseudo-random sequences. Second, we set a sliding window on the image while segmenting the image inside the window using the DeepLab V3 semantic segmentation model trained on the cityscape dataset. Finally, the regions that exist to specific contents are encrypted using the proposed encryption algorithm. The simulation experiments show that our chaotic encryption algorithm has favorable encryption performance.
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The data presented in this study are available on request from the corresponding author.
References
Gao, L., Song, J., Liu, X., Shao, J., Liu, J., Shao, J.: Learning in high-dimensional multimedia data: the state of the art. Multimedia Syst., pp. 303–313 (2017). https://doi.org/10.1007/s00530-015-0494-1
Mohanarathinam, A., Kamalraj, S., Prasanna Venkatesan, G.K.D., Ravi, R.V., Manikandababu, C.S.: Digital watermarking techniques for image security: a review. J. Ambient Intell. Human. Comput., pp. 3221–3229 (2020). https://doi.org/10.1007/s12652-019-01500-1
Singh, M., Singh, A.K.: A comprehensive survey on encryption techniques for digital images. Multimed Tools Appl 82, 11155–11187 (2023). https://doi.org/10.1007/s11042-022-12791-6
Singh, J., Ramachandra, R.: Deep composite face image attacks: generation, vulnerability and detection. IEEE Access (2023). https://doi.org/10.1109/ACCESS.2023.3261247
Zia, U., McCartney, M., Scotney, B., Martinez, J., AbuTair, M., Memon, J., Sajjad, A.: Survey on image encryption techniques using chaotic maps in spatial, transform and spatiotemporal domains. Int. J. Information Security. 917–935 (2022). https://doi.org/10.1007/s10207-022-00588-5
Habek, M., Genc, Y., Aytas, N., Akkoc, A., Afacan, E., Yazgan, E.: Digital Image Encryption Using Elliptic Curve Cryptography: A Review. In: 2022 International Congress on Human-Computer Interaction, Optimization and Robotic Applications (HORA). pp. 1–8 (2022). https://doi.org/10.1109/hora55278.2022.9800074
Gao, X., Mou, J., Banerjee, S., Cao, Y., Xiong, L., Chen, X.: An effective multiple-image encryption algorithm based on 3D cube and hyperchaotic map. J. King Saud Univ. Comput. Inf. Sci. 34, 1535–1551 (2022). https://doi.org/10.1016/j.jksuci.2022.01.017
Ye, G., Liu, M., Wu, M.: Double image encryption algorithm based on compressive sensing and elliptic curve. Alex. Eng. J. 61, 6785–6795 (2022). https://doi.org/10.1016/j.aej.2021.12.023
Huang, X., Dong, Y., Zhu, H., Ye, G.: Visually asymmetric image encryption algorithm based on SHA-3 and compressive sensing by embedding encrypted image. Alex. Eng. J. 61, 7637–7647 (2022). https://doi.org/10.1016/j.aej.2022.01.015
Kaur, M., Kumar, V.: A comprehensive review on image encryption techniques. Arch. Comput. Methods Eng. 27, 15–43 (2020). https://doi.org/10.1007/s11831-018-9298-8
Elkandoz, M.T., Alexan, W.: Image encryption based on a combination of multiple chaotic maps. Multimedia Tools Appl. 81, 25497–25518 (2022). https://doi.org/10.1007/s11042-022-12595-8
Masood, F., Driss, M., Boulila, W., Ahmad, J., Rehman, S.U., Jan, S.U., Qayyum, A., Buchanan, W.J.: A lightweight chaos-based medical image encryption scheme using random shuffling and XOR operations. Wireless Personal Commun., pp. 1405–1432 (2022). https://doi.org/10.1007/s11277-021-08584-z
Gao, X., Mou, J., Xiong, L., Sha, Y., Yan, H., Cao, Y.: A fast and efficient multiple images encryption based on single-channel encryption and chaotic system. Nonlinear Dyn., pp. 613–636 (2022). https://doi.org/10.1007/s11071-021-07192-7
Gong, L.-H., Luo, H.-X., Wu, R.-Q., Zhou, N.-R.: New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG. Phys. A Stat. Mech. Appl., 591, 126793 (2022). https://doi.org/10.1016/j.physa.2021.126793
Kiran, Parameshachari, B.D., Panduranga, H.T.: Medical image encryption using SCAN technique and chaotic tent map system. In: Adv. Intell. Syst. Comput. Recent Adv. Artif. Intell. Data Eng., pp. 181–193 (2022). https://doi.org/10.1007/978-981-16-3342-3_15
Zhang, B., Liu, L.: Chaos-based image encryption: review, application, and challenges. Mathematics 11(11), 2585 (2023). https://doi.org/10.3390/math11112585
Cordts, M., Omran, M., Ramos, S., Rehfeld, T., Enzweiler, M., Benenson, R., Franke, U., Roth, S., Schiele, B.: The cityscapes dataset for semantic urban scene understanding. In: 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 3213–3223 (2016). https://doi.org/10.1109/cvpr.2016.350
Chen, L.-C., Papandreou, G., Schroff, F., Adam, H.: Rethinking atrous convolution for semantic image segmentation. arXiv: Computer Vision and Pattern Recognition,arXiv: Computer Vision and Pattern Recognition. arXiv preprint arXiv: 1706.05587 (2017). https://doi.org/10.48550/arXiv.1706.05587
Long, J., Shelhamer, E., Darrell, T.: Fully convolutional networks for semantic segmentation. In: 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR). pp. 3431–3440 (2015). https://doi.org/10.1109/cvpr.2015.7298965
Ronneberger, O., Fischer, P., Brox, T.: U-Net: Convolutional networks for biomedical image segmentation. In: Lecture Notes in Computer Science,Medical Image Computing and Computer-Assisted Intervention – MICCAI 2015. pp. 234–241 (2015). https://doi.org/10.1007/978-3-319-24574-4_28
Chen, L.-C., Papandreou, G., Kokkinos, I., Murphy, K., Yuille, AlanL.: Semantic Image Segmentation with Deep Convolutional Nets and Fully Connected CRFs. Le Centre pour la Communication Scientifique Directe - HAL - Diderot,Le Centre pour la Communication Scientifique Directe - HAL - Diderot. arXiv preprint arXiv:1412.7062 (2015). https://doi.org/10.48550/arXiv.1412.7062
Chen, L.-C., Papandreou, G., Kokkinos, I., Murphy, K., Yuille, A.L.: DeepLab: semantic image segmentation with deep convolutional nets, atrous convolution, and fully connected crfs. IEEE Trans. Pattern Anal. Mach. Intell., pp. 834–848 (2018). https://doi.org/10.1109/tpami.2017.2699184
Ding, Y., Duan, Z., Li, S.: 2D arcsine and sine combined logistic map for image encryption. Vis. Comput. 39, 1517–1532 (2022). https://doi.org/10.1007/s00371-022-02426-0
Suman, R.R., Mondal, B., Mandal, T.: A secure encryption scheme using a composite logistic sine map (CLSM) and SHA-256. Multimedia Tools Appl. 81, 27089–27110 (2022). https://doi.org/10.1007/s11042-021-11460-4
Liu, X., Xiao, D., Liu, C.: Quantum image encryption algorithm based on bit-plane permutation and sine logistic map. Quant. Inf. Process., 19, 239. https://doi.org/10.1007/s11128-020-02739-w
Cun, Q., Tong, X., Wang, Z., Zhang, M.: Selective image encryption method based on dynamic DNA coding and new chaotic map. Optik 243, 167286 (2021). https://doi.org/10.1016/j.ijleo.2021.167286
Alexan, W., Elkandoz, M., Mashaly, M., Azab, E., Aboshousha, A.: Color image encryption through chaos and KAA map. IEEE Access. 11, 11541–11554 (2023). https://doi.org/10.1109/access.2023.3242311
Shao, S., Li, J., Shao, P., Xu, G.: Chaotic image encryption using piecewise-logistic-sine map. IEEE Access, 11, 27477–27488. https://doi.org/10.1109/ACCESS.2023.3257349
Pareek, N.K., Patidar, V., Sud, K.K.: Image encryption using chaotic logistic map. Image Vis. Comput. 24, 926–934 (2006). https://doi.org/10.1016/j.imavis.2006.02.021
Nerenberg, M.A.H., Essex, C.: Correlation dimension and systematic geometric effects. Phys. Rev. A 42, 7065–7074 (2002). https://doi.org/10.1103/physreva.42.7065
Bandt, C., Pompe, B.: Permutation entropy: a natural complexity measure for time series. Phys. Rev. Lett. 88, 174102 (2002). https://doi.org/10.1103/physrevlett.88.174102
Hosny, K., Kamal, S., Darwish, M.: A color image encryption technique using block scrambling and chaos. Multimed Tools Appl 81, 505–525 (2022). https://doi.org/10.1007/s11042-021-11384-z
Wang, J., Liu, L., Xu, M., Li, X.: A novel content-selected image encryption algorithm based on the chaotic model. J. King Saud Univ. Comput. Inf. Sci. 34(10), 8245–8259 (2022). https://doi.org/10.1016/j.jksuci.2022.08.007
Wang, X., Gao, S.: A chaotic image encryption algorithm based on a counting system and the semi-tensor product. Multimedia Tools Appl. 80, 10301–10322 (2021). https://doi.org/10.1007/s11042-020-10101-6
Xian, Y., Wang, X.: Fractal sorting matrix and its application on chaotic image encryption. Inf. Sci. 547, 1154–1169 (2021). https://doi.org/10.1016/j.ins.2020.09.055
Song, W., Fu, C., Zheng, Y., Cao, L., Tie, M., Sham, C.-W.: Protection of image ROI using chaos-based encryption and DCNN-based object detection. Neural Comput. Appl. 34, 5743–5756 (2022). https://doi.org/10.1007/s00521-021-06725-w
Singh, K., Singh, O., Baranwal, N., Singh, A.: An efficient chaos-based image encryption algorithm using real-time object detection for smart city applications. Sustain Energy Technol. Assess. 53, 102566. https://doi.org/10.1016/j.seta.2022.102566
Teng, L., Wang, X., Yang, F., Xian, Y.: Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion. Nonlinear Dyn. 105, 1859–1876 (2021). https://doi.org/10.1007/s11071-021-06663-1
Tang, J., Yu, Z., Liu, L.: A delay coupling method to reduce the dynamical degradation of digital chaotic maps and its application for image encryption. Multimedia Tools Appl. 78, 24765–24788 (2019). https://doi.org/10.1007/s11042-019-7602-8
Pincus, StevenM., Gladstone, IgorM., Ehrenkranz, RichardA.: A regularity statistic for medical data analysis (1991).
Funding
This work is supported by National Natural Science Foundation of China (62262039); Outstanding Youth Foundation of Jiangxi Province (20212ACB212006); Key Project of Jiangxi Provincial Natural Science Foundation (20232ACB202009).
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Conceptualization, LL; methodology, WX; software, WX; formal analysis, WX; data curation, WX; writing—original draft preparation, WX; writing—review and editing, WX and LL; funding acquisition, LL and WX. All authors have read and agreed to the published version of the manuscript.
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Xu, W., Liu, L. An image autonomous selection encryption algorithm based on the delay exponential logistic chaotic model. Nonlinear Dyn 112, 11501–11522 (2024). https://doi.org/10.1007/s11071-024-09616-6
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DOI: https://doi.org/10.1007/s11071-024-09616-6