Image Encryption Scheme with Compressed Sensing Based on New Three-Dimensional Chaotic System

Abstract

In this paper, a new three-dimensional chaotic system is proposed for image encryption. The core of the encryption algorithm is the combination of chaotic system and compressed sensing, which can complete image encryption and compression at the same time. The Lyapunov exponent, bifurcation diagram and complexity of the new three-dimensional chaotic system are analyzed. The performance analysis shows that the chaotic system has two positive Lyapunov exponents and high complexity. In the encryption scheme, a new chaotic system is used as the measurement matrix for compressed sensing, and Arnold is used to scrambling the image further. The proposed method has better reconfiguration ability in the compressible range of the algorithm compared with other methods. The experimental results show that the proposed encryption scheme has good encryption effect and image compression capability.

A Tweak-Cube Color Image Encryption Scheme Jointly Manipulated by Chaos and Hyper-Chaos

“…Hence, the encryption effect is satisfactory. [14] 0.0056 0.0065 −0.0073 -Lena in [31] −0.0068 −0.0054 0.0010 -Lena in [32] 0.0059 −0.0042 0.0180 -Lena in [33] 0.0033 0.0027 0.0014 -Peppers in [34] −0.0047 −0.0024 −0.0028 -Peppers in [35] 0.0002 0.0022 0.0010 -Baboon in [35] 0.0004 −0.0047 0.0001 -…”

Low-Element Image Restoration Based on an Out-of-Order Elimination Algorithm

“…As low-element underdetermined blind-source separation is problematic, to ensure collection of secured information at the receiving end, this paper uses digital chaos to hide and confidentially transmit the transmitter information [41,42]. The kinetic equation of the chaotic system [43] used in chaotic hiding techniques is shown in (4): Chaotic hiding information ensures secure communication. As low-element underdetermined blind-source separation is problematic, to ensure collection of secured information at the receiving end, this paper uses digital chaos to hide and confidentially transmit the transmitter information [41,42].…”

“…As low-element underdetermined blind-source separation is problematic, to ensure collection of secured information at the receiving end, this paper uses digital chaos to hide and confidentially transmit the transmitter information [41,42]. The kinetic equation of the chaotic system [43] used in chaotic hiding techniques is shown in (4): The characteristic analysis of a chaotic system [44] reveals that it has a complex structure and irregular dynamic behavior. It is proven in [43] that a chaotic system possesses a good image encryption effect.…”

Design and Analysis of a Novel Chaos-Based Image Encryption Algorithm via Switch Control Mechanism

“…Actually, most of these schemes have a high level of security, as opposed to a high implementation cost. Moreover, some new technologies have been introduced to the design and security analysis of image encryption schemes such as neural network [33], DNA coding [34], genetic recombination [31], compressed sensing [35], and machine leaning [36]. In general, there exists an irreconcilable contradiction between the security and implementation complexity of cryptographic algorithms.…”