Double Image Encryption Algorithm Based On Chaotic System And Compressive Sensing

Image data security has always been a major problem in the field of network information security.The rapid increase of computing power of physical equipment makes it possible to crack the traditional image cryptography scheme.Chaotic system owns the characteristics of certainty,quasi-randomness and sensitivity of initial value,which can be applied in the field of image encryption.Compressive sensing technology can realize the compression and encryption of input signals at the same time,which is suitable for multi-image encryption process.Two kinds of double-image encryption algorithms based on chaos and compressive sensing are proposed and simulated.The specific research content is as follows:Based on Henon map and compressive sensing,a competent double-image encryption algorithm is designed.Two plaintext images are sparse represented by discrete wavelet basis respectively,the Henon map is used to control the construction of the measurement matrices in image projection.Two compressed measurements are combined into a composite image in the vertical direction according to the order of the alternate rows.The random phase coding technique is employed to realize the pixel diffusion,and then Josephus traversing operation is used to scramble the diffused image.The decryption process consists of four steps:pixel restoration,random phase inverse encoding,SL₀ algorithm reconstruction and wavelet inverse transform.Simulation results and security analysis verify the validity and robustness of the double-image encryption algorithm.A new double-image encryption scheme based on Logistic map and analysis sparse representation is proposed.Two chaotic sequences generated by 2-DLogistic map are used to transform a fixed sparse dictionary,respectively,and then the analysis sparse representations of two original images are obtained.The random sequences generated by chaos are utilized to construct the measurement matrices of image sampling to acquire the encrypted measurements.After random pixel exchanging and Arnold transformation,two intermediate images are combined vertically.The bitwise XOR operation and Ziazag scanning are employed for pixel converting and scrambling of the composite to obtain the ciphertext image.The decryption process involves Ziazag scanning,XOR operation,Arnold transformation,pixel exchanging and SBI algorithm reconstruction.Experimental results and performance analysis show that the proposed double-image encryption scheme has stable security.