Abstract
In this paper, aiming at defects which are low security properties, high costs of storage and transmission for exiting image encryption and compression algorithms. An algorithm which combined image compression and encryption based on hyper-chaotic map is proposed. In this algorithm, the original image is compressed by compression sensing (CS), and then the compressed image is encrypted through improved Arnold matrix transformation algorithm, Modular operation algorithm and combined the 3D hyper-chaotic map. The experimental results and theoretical analyses show that the proposed algorithm has superior safety performance and compression characteristics, which may reduce the costs of data transmission and improve the encryption efficiency. What’s more, it provides the theoretical guidance and experimental basis for digital image encryption in practical application.









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Acknowledgments
This investigate is supported by the Basic Scientific Research Projects of Colleges and Universities of Liaoning Province (Grant Nos. 2017 J045); Provincial Natural Science Foundation of Liaoning (Grant Nos. 20170540060); Scientific Research Projects in General of Liaoning Province (Grant Nos. L2015043), Doctoral Research Startup Fund Guidance Program of Liaoning Province (Grant Nos. 201601280).
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Feifei Yang designed and carried out experiments, data analyzed and manuscript wrote. Jun Mou made the theoretical guidance for this paper. Ran Chu and Yinghong Cao made a technical support for this paper. Every author went over this manuscript carefully.
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Mou, J., Yang, F., Chu, R. et al. Image Compression and Encryption Algorithm Based on Hyper-chaotic Map. Mobile Netw Appl 26, 1849–1861 (2021). https://doi.org/10.1007/s11036-019-01293-9
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DOI: https://doi.org/10.1007/s11036-019-01293-9