Research On Image Reconstruction And Encryption Method Based On Chaotic Compressed Sensing

Compressed sensing(CS)theory has the characteristics of low sampling and flexible compression,which makes the signal processing method widely used in digital signal acquisition technology.At present,the image has become the most common and intuitive form of conveying information,and the clearer the image,the greater the amount of information and the larger the space occupied.At the same time,people's awareness of the protection of the information contained in the image has also gradually increased.Therefore,the space occupied by image storage and the safe and efficient transmission have become issues that need to be considered urgently.Therefore,in view of the problem of the safe transmission of image information and the storage space occupied,and taking into account the needs of image compression and encryption,a method of image reconstruction and encryption based on chaotic compression sensing is proposed to improve the security of image information during transmission.The main content of this paper is:(1)An image compression sensing and reconstruction scheme based on new three-dimensional hyperchaos is proposed.First,in order to solve the shortcomings of the instability of random measurement matrices,a new three-dimensional discrete hyperchaotic system is designed and proposed for constructing chaotic measurement matrices.This paper analyzes the dynamics and chaos characteristics of the newly designed chaotic system.Secondly,a new chaotic measurement matrix is constructed using the new chaotic system,and the RIP criterion of the measurement matrix is verified.Finally,an experimental simulation of image compression sensing and reconstruction based on the new three-dimensional hyperchaos is performed to verify the feasibility of the new measurement matrix scheme and analyze the reconstruction effect of image information.(2)Propose a kind of encryption algorithm based on hyperchaotic image compression sensing.In order to solve the need of simultaneous image compression and encryption,this paper combines scrambling and diffusion algorithms,and proposes an encryption algorithm based on hyperchaotic image compression sensing.Use Matlab to complete the experimental simulation of the encryption scheme to verify the feasibility of the scheme,and analyze the security of the encryption algorithm.The security of the encryption algorithm is mainly analyzed by security analysis indicators such as NIST test,key space,histogram analysis,information entropy analysis,and correlation of adjacent pixels.