A novel multi-scroll hyperchaotic system applicable for visually secure image cryptosystem using block compressive sensing

Xiuli Chai

doi:10.1007/s11071-023-09076-4

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A novel multi-scroll hyperchaotic system applicable for visually secure image cryptosystem using block compressive sensing

2023-11-24

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DOI：10.1007/s11071-023-09076-4

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Abstract

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Chaotic systems have played a vital role within the domain of chaos-based image encryption, owing to its significant advantages including sensitivity to initial values, ergodicity and others. Nonetheless, the current low-dimensional and less-scroll chaotic systems exhibit low complexity and randomness, leading to unsatisfactory security performance of the associated image encryption schemes. To settle the aforementioned issue, this paper introduces a novel hyperchaotic system with five scrolls and explores its application in visually meaningful image encryption (VMIE). Firstly, a new 5-scroll Rossler hyperchaotic system (5-SRHS) is designed building upon the principle of translation transformation (PTT), using the Rossler chaotic system (RCS) as a foundation. The performance of the 5-SRHS is extensively analyzed using various techniques, including but not limited to phase diagrams, Lyapunov exponents, and the NIST test. Subsequently, based on the 5-SRHS, a VMIE method is introduced. Specifically, to improve image reconstruction quality and reasonable allocation of sampling resources, a sub-region adaptive block compressive sensing (SR-ABCS) driven by image texture features is presented and applied to pre-encrypt the plain image, resulting in the generation of the encrypted image. Next, the obtained encrypted image is dynamically embedded into the host image utilizing improved grayscale difference statistics (IGDS) and 2K correction, enhancing imperceptibility of the steganographic image. Moreover, SHA-256 is integrated with the 5-SRHS to generate plaintext-related random sequences, further achieving higher security. Simulation experiments validate that the proposed scheme surpasses existing state-of-the-art (SOTA) schemes regarding steganography and reconstruction quality. Moreover, it is proven not only for secure transmission of natural images but also for medical images.

Keywords:

Hyperchaotic system

Image encryption

Block compressive sensing

Dynamic embedding