A new hierarchical josephs' chaos image encryption method combined with parallel compressive sensing

Abstract

This application provides a novel hierarchical Josephus scrambling image encryption method combining parallel compressed sensing, relating to the field of image communication technology. The method includes: Step S10: acquiring the original image and generating an initial key, inputting the initial key into a chaotic system to iteratively generate a chaotic sequence group; Step S20: transforming the chaotic sequence group into a measurement matrix required for parallel compressed sensing and an encryption matrix required for image encryption; Step S30: establishing an adaptive sparse strategy based on the correlation between the oversampling factor and a preset compression ratio, transforming the original image into a target sparse matrix through the adaptive sparse strategy; Step S40: performing compressed sensing operations on the target sparse matrix based on the measurement matrix to obtain a compressed image matrix; Step S50: performing hierarchical Josephus scrambling and diffusion operations on the compressed image matrix based on the encryption matrix to obtain a target encrypted image, which can balance image reconstruction quality and encryption randomness.

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