Image Encryption Technology Based On Chaotic System And Compressed Sensing Theory

With the rapid development of information technology,digital image is facing more and more security challenges as an important medium for information dissemination.The research of digital image encryption algorithm provides an important technical barrier for image information security.The chaotic system's unique initial sensitivity,randomicity and ergodicity perfectly meet the technical requirements of image encryption algorithm,and the compressed sensing theory can realize the compression and encryption of digital image.This paper studies the digital image encryption algorithm based on chaotic system and compressed sensing theory,which mainly includes the following three aspects.Firstly,this paper describes the mathematical basis of chaos theory and compressed sensing theory,and analyzes their applications in digital image encryption.The validation index of digital image encryption algorithm is also analyzed in detail.Secondly,a digital image encryption algorithm based on Logistic chaotic mapping and compressed sensing theory is proposed.In the compression encryption stage,the algorithm uses Logistic map to generate measurement matrix to compress and encrypt digital images.In the scrambling diffusion encryption stage,the algorithm uses compound chaotic map to scramble and diffuse the compressed and encrypted digital image.The simulation and experimental results show that the algorithm has good safety performance and excellent compression performance.Finally,a digital image encryption algorithm based on hyperchaotic Lorenz system and compressed sensing theory is proposed.In the process of compressed sensing encryption,the algorithm uses compound Logistic-Sine chaotic map to design part of Hadamard matrix as measurement matrix to compress and encrypt digital image twice.In the process of scrambling diffusion encryption,hyperchaotic Lorenz system is selected to perform synchronous scrambling diffusion encryption on the compressed and encrypted digital image.The simulation and experimental results show that the algorithm has high security and good compression performance,which can effectively resist various attacks against encrypted images.