Multi-image encryption based on QR code and singular value decomposition ghost imaging

摘要

Abstract A muti-image encryption method based on QR code and singular value decomposition ghost imaging (LQSVDGI) is proposed. The target images are first preprocessed by logistic chaotic scrambling (LCS), and the scrambled images are synthesized into one image by XOR operation. QR encoding is performed for this image, and then the QR-coded image is encrypted and decrypted by a singular value decomposition ghost imaging (SVDGI) system. With the error correction ability of QR code, even if the code is damaged, it can recover the data to a certain extent, reducing the risk of information loss and improving the quality of image reconstruction. SVDGI uses SVD transformation to construct measurement matrix and reconstructs the image by one-step transpose, which solves the problem of long reconstruction time of computational ghost imaging. The pixel sequence of LCS, XOR key and measurement matrix can be transmitted as keys. Only authorized users with correct keys can decrypt the original image to ensure the security of the system. Both computer simulations and optical experiments are performed to verify the feasibility, security and robustness of the scheme.