Affiliations: [a] School of Information Engineering, Zhengzhou Institute of Technology, Zhengzhou, China
| [b] St Petersburg State University, Theodosius Dobzhansky Center Genome Bioinformation, St Petersburg, Russia
Correspondence:
[*]
Corresponding author. Hua Zhou, School of Information Engineering, Zhengzhou Institute of Technology, Zhengzhou 450000, China. E-mail: zhouhuatg@126.com.
Abstract: At present, special domain image encryption and compression algorithms have problems such as poor encryption and image compression, long time consuming of encryption and compression, and no guarantee of image compression quality. In this regard, this paper proposes an encryption and compression algorithm for spatial domain image selection based on hyperchaotic system. The hyperchaotic Chen system is selected to decompose the dynamics of the hyperchaotic system. The decomposition result is replaced by image scrambling, and the chaotic sequence output from the hyperchaotic Chen system is preprocessed. The two groups of sequences are used to complete the image scrambling so that the image is encrypted for the first time. The discrete cosine basis is applied to make sparse representation of the original image after scrambling. The partial Hadamard matrix, which is controlled by the Logistic chaotic map, is used as the measurement matrix in the compressed sensing, and the two-dimensional projection measurement of the image is done to complete the image compression. The hyperchaotic Chen system is used to cyclically shift the projection results to change the pixel value of the image, and the final cipher image is obtained. The experimental results show that the algorithm anti-attack coefficient is 0.99, the average compression time is 7 s, and the compressed image has high resolution and strong confidentiality. The proposed algorithm is superior to the current algorithm in security and other performance, and can provide support for this field.
Keywords: Hyperchaotic system, special domain image, selective encryption, compression
