A Novel 3D Image Encryption Based on the Chaotic System and RNA Crossover and Mutation

Abstract

In this paper, a novel 3D image encryption based on the memristive chaotic system and RNA crossover and mutation is proposed. Firstly, the dynamic characteristics of the nonlinear system with two memristors are analyzed, including phase diagrams, Lyapunov exponential spectrums, and bifurcation diagrams. According to the merged image of three 3D images, the initial values of the memristive chaotic system are generated by SHA-256. Then the vertex coordinates are scrambled and diffused by 3D Arnold matrix and chaotic sequences. Finally, according to the dynamical encoding and decoding rules, crossover and RNA mutation are designed to confuse and diffuse the vertex coordinates. Throughout the encryption process, the Arnold matrix, RNA encoding and decoding rules, and crossover and mutation algorithms are determined by the memristive chaotic system. The experimental results verify that the proposed cryptosystem could encrypt three 3D images at the same time and resist various attacks effectively, and has good security performance.

1D Sine-Map-Coupling-Logistic-Map for 3D model encryption

“…In addition, the information entropy of the SMCLM-3ME is compared with some algorithms (Refs. [49,59,60]), the comparison results are shown in Table 3. The information entropy comparison shows that the ciphertext information entropy value of the SMCLM-3ME is closer to the theoretical value than the algorithms in Refs.…”

“…The information entropy comparison shows that the ciphertext information entropy value of the SMCLM-3ME is closer to the theoretical value than the algorithms in Refs. [49,59,60], so the ciphertext of the SMCLM-3ME has better randomness, attackers cannot obtain useful information from the ciphertext.…”

“…The quantitative analysis results of the correlation are shown in Table 4, and the correlation comparison with some algorithms (Refs. [48,49,59]) are shown in Table 5.…”

“…Therefore, the 2D image encryption algorithm cannot be transplanted into the 3D model encryption algorithm. Although a few 3D model encryption algorithms have been proposed, they all have some disadvantages [48,49]. For example, Xu et al proposed a CTBCS hyperchaotic system, which uses Arnold scrambling and DNA diffusion to encrypt 3D models.…”

“…However, the time of the algorithm is prolonged. They are sacrificing time to improve the security of the algorithm [49]. Unlike traditional scrambling and diffusing algorithms, the 3D model encryption algorithm (SMCLM-3ME) proposed in this paper is scrambling and diffusing simultaneously, which is fast and has high security.…”